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study help
mathematics
calculus 6th edition
Calculus 6th Edition James Stewart - Solutions
Evaluate the integral.∫x sin x cos x dx
Evaluate the integral. S X x² + x + 1 x2 dx
Evaluate the integral. 3x² - 2 √x²² - 2x - 8 dx
Evaluate the integral. y So y dy 2y e
Evaluate the integral.∫sec6t dt
Evaluate the integral. 3x³x² + 6x - 4 (x² + 1)(x² + 2) - dx
Evaluate the integral. x² = x + 6 x³ + 3x dx
Evaluate the integral. S dt t² - 6t + 13
Evaluate the integral.∫(tan2x + tan4x) dx
Evaluate the integral.∫ In(x2 - 1) dx
Evaluate the integral. Ső x³ cos x dx
Evaluate the integral.∫ex cos x dx
Use the guidelines of this section to sketch the curve.y = x√5 – xData from section 4.5 GUIDELINES FOR SKETCHING A CURVE The following checklist is intended as a guide to sketching a curve y = f(x) by hand. Not every item is relevant to every function. (For instance, a given curve might not
Use the guidelines of Section 4.5 to sketch the curve.y = x3 – 6x2 – 15x + 4 Data from section 4.5 GUIDELINES FOR SKETCHING A CURVE The following checklist is intended as a guide to sketching a curve y = f(x) by hand. Not every item is relevant to every function. (For instance, a given curve
Use Newton’s method to find all roots of the equation correct to six decimal places.1/x = 1 + x3
Find the most general antiderivative of the function. (Check your answer by differentiation.)f(x) = 2 + x2/1 + x2
Use the guidelines of Section 4.5 to sketch the curve.y = x4 – 3x3 + 3x2 – xData from section 4.5 GUIDELINES FOR SKETCHING A CURVE The following checklist is intended as a guide to sketching a curve y = f(x) by hand. Not every item is relevant to every function. (For instance, a given curve
Use the guidelines of this section to sketch the curve.y = √x2 + x – xData from section 4.5 GUIDELINES FOR SKETCHING A CURVE The following checklist is intended as a guide to sketching a curve y = f(x) by hand. Not every item is relevant to every function. (For instance, a given curve might not
Use the guidelines of Section 4.5 to sketch the curve.y = 1/1 – x2Data from section 4.5 GUIDELINES FOR SKETCHING A CURVE The following checklist is intended as a guide to sketching a curve y = f(x) by hand. Not every item is relevant to every function. (For instance, a given curve might not have
Use the guidelines of this section to sketch the curve.y = e2x – exData from section 4.5 GUIDELINES FOR SKETCHING A CURVE The following checklist is intended as a guide to sketching a curve y = f(x) by hand. Not every item is relevant to every function. (For instance, a given curve might not have
Use a computer algebra system to graph f and to find f' and f". Use graphs of these derivatives to estimate the intervals of increase and decrease, extreme values, intervals of concavity, and inflection points of f.f(x) = (x2 – 1)earctan x
Use Newton’s method to find all roots of the equation correct to six decimal places.cos x = √x
Use the guidelines of this section to sketch the curve.y = ex/xData from section 4.5 GUIDELINES FOR SKETCHING A CURVE The following checklist is intended as a guide to sketching a curve y = f(x) by hand. Not every item is relevant to every function. (For instance, a given curve might not have
Use the guidelines of this section to sketch the curve.y = 1/(1+ e–x)Data from section 4.5 GUIDELINES FOR SKETCHING A CURVE The following checklist is intended as a guide to sketching a curve y = f(x) by hand. Not every item is relevant to every function. (For instance, a given curve might not
Use Newton’s method to find all roots of the equation correct to six decimal places.tan x = √1 – x2
Use the guidelines of this section to sketch the curve.y = ln(x2 – 3x + 2)Data from section 4.5 GUIDELINES FOR SKETCHING A CURVE The following checklist is intended as a guide to sketching a curve y = f(x) by hand. Not every item is relevant to every function. (For instance, a given curve might
Use the guidelines of this section to sketch the curve.y = x – ln xData from section 4.5 GUIDELINES FOR SKETCHING A CURVE The following checklist is intended as a guide to sketching a curve y = f(x) by hand. Not every item is relevant to every function. (For instance, a given curve might not have
Use the guidelines of this section to sketch the curve.y = xe–x2Data from section 4.5 GUIDELINES FOR SKETCHING A CURVE The following checklist is intended as a guide to sketching a curve y = f(x) by hand. Not every item is relevant to every function. (For instance, a given curve might not have
Use the guidelines of this section to sketch the curve.y = (x2 – 3) e–xData from section 4.5 GUIDELINES FOR SKETCHING A CURVE The following checklist is intended as a guide to sketching a curve y = f(x) by hand. Not every item is relevant to every function. (For instance, a given curve might
Use the guidelines of this section to sketch the curve.y = e3x + e–2xData from section 4.5 GUIDELINES FOR SKETCHING A CURVE The following checklist is intended as a guide to sketching a curve y = f(x) by hand. Not every item is relevant to every function. (For instance, a given curve might not
Find f.f"(x) = 2 + cos x, f(0) = –1, f(π/2) = 0
Use the guidelines of this section to sketch the curve. In guideline D find an equation of the slant asymptote.y = –2x2 + 5x – 1/2x – 1Data from section 4.5 GUIDELINES FOR SKETCHING A CURVE The following checklist is intended as a guide to sketching a curve y = f(x) by hand. Not every item is
Use the guidelines of this section to sketch the curve.y = tan–1(x – 1/x + 1)Data from section 4.5 GUIDELINES FOR SKETCHING A CURVE The following checklist is intended as a guide to sketching a curve y = f(x) by hand. Not every item is relevant to every function. (For instance, a given curve
Find f.f"(t) = 2et + 3 sin t. f(0) = 0, f(π) = 0
Find f.f"(x) = x–2, x > 0, f(1) = 0, f(2) = 0
Find f.f"'(x) = cos x, f(0) = 1, f'(0) = 2, f"(0) = 3
Evaluate the integral. Jo 10* dx
Evaluate the integral. 7/3 π/4 sec Ꮎ tan Ꮎ dᎾ
Evaluate the integral. √√3/2 6 √1/²² √1-1² = dt J1/2
Evaluate the integral. ᎾᏢ - dᎾ Jo 0-S00 0-500 + [ v/=
Evaluate the integral. 4 Jo t² + 1 dt
Evaluate the integral. #/3 sin + sin 0 tan²0 10 sec²0 de
Evaluate the integral. e²+1 du
Evaluate the integral. 64 J1 1 + √√x √x - dx
Evaluate the integral. *10 2e* |−10 sinh x + cosh x dx
Evaluate the integral. 2 4 + u² 3 J1 n np.
Evaluate the integral. f(x) dx where f(x). R sin x cosx if 0
Evaluate 2 sin x cos*x dx.
Evaluate the integral. 1/√3 1² - 1 t-1 - dt
Given thatwhat is (²3x√√x² + 4 dx = 5√5 - 8,
Evaluate the integral. f(x) dx where f(x) = if -2 ≤ x ≤0 4- x² if 0
Evaluate the integral. J1 (x - 1)³ -dx 2 x²
Evaluate the integral. S²₁ (x - 2)x) dx -1
Find the derivative of the function. F(x) = f'₁² ₁ = [₁ √t + sint dt x
Evaluate the integral. *3π/2 Jo | sin x | dx
Find the derivative of the function. g(x)= sin x 1-² 1+,4 ܟ dt
Find the derivative of the function. ===²=² - dt t y=
Find the derivative of the function. (3x+1 y= = J2x sin(t¹) dt
Find the derivative of the function. g(x) 1 - Stoms √2 + 1² tan..x dt
Find the derivative of the function. y-f √t sin t dt
If wherefind f"(2). F(x) = f(t) dt. 1
Find the derivative of the function. y = - 5x cos.x cos(u²) du
Find the interval on which the curveis concave upward. 1 Jo 1 + 1 + 1² y=√₁₁ = y dt
Evaluate 9 9 9 n - [☺) - () + ()* - - - (;)] lim + + 71 n n n
Find the area of the shaded region. у У y=5r-r y=x ((4,4) X
How much work is done in lifting a 40-kg sandbag to a height of 1.5 m?
Find the average value of the function on the given interval.f(x) = 4x – x2, [0, 4]
Find the area of the shaded region. y y= √√√x+2 y = x= x = 2 1 x+1 X
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.y = 2 – 1/2x, y = 0, x = 1, x = 2; about the x-axis
Find the work done if a constant force of 100 lb is used to pull a cart a distance of 200 ft.
Find the average value of the function on the given interval.f(x) = sin 4x, [–π, π]
Find the area of the shaded region. x=y²-2 у=-1 У y=1 x=ey ➜ X
Find the area of the region bounded by the given curves.y = 1/x, y = x2, y = 0, x = e
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.y = 1 – x2, y = 0; about the x-axis
Find the average value of the function on the given interval.g(x) = 3√x. [1,8]
Find the area of the shaded region. (-3,3)- У x = y² - 4y x=2y-y² X
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.y = 1/x, x = 1, x = 2, y = 0; about the x-axis
Find the average value of the function on the given interval.g(x) = x2√1 + x3, [0.2]
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.y = √25 - x2, y = 0, x = 2, x = 4; about the x-axis
Find the average value of the function on the given interval.f(t) = te–t2 , [0, 5]
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.x = 2√y, x = 0, y = 9; about the y-axis
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. Then find the area of the region.y = sin x, y = ex, x = 0, x = π/2
Find the average value of the function on the given interval.f(θ) = sec2(θ/2), [0, π/2]
Find the area of the region bounded by the given curves.y = √x, y = x2, x = 2
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.y = ln x, y = 1, y = 2, x = 0; about the y-axis
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. Then find the area of the region.y = x , y = x2
Find the average value of the function on the given interval.h(x) = cos4x sinx, [0, π]
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.y = x3, y = x, x ≥ 0; about the x-axis
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. Then find the area of the region.y = x2 – 2x, y = x + 4
Find the average value of the function on the given interval.h(u) = (3 – 2u)–1, [–1,1]
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.y = 1/4x2, y = 5 – x2; about the x-axis
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. Then find the area of the region.y = 1/x, y = 1/x2, x = 2
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. Then find the area of the region.y = 1 + √x, y = (3 + x)/3
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.y = 1/4x2, x = 2, y = 0; about the y-axis
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.y = x, y = √x; about y = 1
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. Then find the area of the region.y = x2, y2 = x
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.y = e–x, y = 1, x = 2; about y = 2
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. Then find the area of the region.y = x2, y = 4x – x2
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.ky = 1/x, y = 0, x = 1, x = 3; about y = –1
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. Then find the area of the region.y = cos x, y = 2 – cos x, 0 ≤ x ≤ 2π
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![9 9 9 n - [) - () + ()* - - ()] lim + + 71 n n](https://dsd5zvtm8ll6.cloudfront.net/si.question.images/images/question_images/1697/4/3/3/131652cc62bb83061697433135832.jpg)
