Question: 2. (12 pts) Let A(x) = ], Vsin2 t + 3dt. Find A' (x) at x =0 and 1/2. 3. (18 pts) Evaluate the following

2. (12 pts) Let A(x) = ], Vsin2 t + 3dt.

2. (12 pts) Let A(x) = ], Vsin2 t + 3dt. Find A' (x) at x =0 and 1/2. 3. (18 pts) Evaluate the following definite integrals: (a) (-3x2 + 8x + 5) dx (b) S Vxdx (c) J-21+3 dx x2 4. (14 pts) Evaluate the following indefinite integrals. (a) S( - 4x3 + e-2x + V2)dx (b) S(x3 - 2) (x3 + 2) dx 5. (18 pts) Evaluate the integrals by making appropriate substitutions. (a) fxv6x2 + 3 dx (b) [ - sin( In ( x) ) dx X (c) S(x4 - 2x)5(2x3 -1)dx 6. (20 pts) Find the area between two curves (a) Find the area between the graphs of f(x) = 4 -x2 and g(x) = 4x + 7 for x in the interval - 2

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Find A'(x) at x=0 and x=pi/2 Hall tie distance in par 2. (12 pts) Let A(x) = S Vsin' t + 3dt. Find A'(x) at x = 0 and T/2. 3. (18 pts) Evaluate the following definite integrals

1. The velocity of a car after t seconds is 2t + 3 feet per second. (a) How far does the car travel between t = 4 second and t = 10 second? (b) How many seconds does it take the car to travel from...

Please show your work so I can better understand the problems. thank you tutors so much :) 2. (10 at) Let A(x) = ffx/cosz t + 4dt, nd Mac) at x = (Land; 3. (10 pts) Evaluate the following denite...

1 Use the following sample data to find the mean, 10 pts :1, 0, 2, 3, 7, 10, 10 (Round answer to one decimal position.) Question 2 10 pts Use the following sample data to find the median: 1, 0, 2, 3,...

@ HW6_X @ Phys1 X @ HW6 x @ Physi x I 3.2 di x I 3.1 di x I Lecle x I x I Lec17 x I C eclass.srv.ualberta.ca/pluginfile.php/8851423/mod_resource/content/1/HW6 2022.pdf gv.ca' X I deriv X 201% + Dem S...

Kindly please digitalized the answer 1- Integrate the following. 1. fx'dx 2. JT 3. S(x2 - 2x + 5) dx 4. S(x + 2)5 dx 5. S1+ y2 2ydy 6. S cos(70 + 5) do 7. S ( x2 + 2x - 3)(x + 1) dx 11- Find the Area...

KINDLY PLEASE DIGITALIZED IT 11- Find the Area between the curve y=x(x-3) and the ordinates x=0 and x=5. Note: (hint) The Graph shows 2 regions. Get first the area of each region before adding it...

Read the Warren article, Hegemony and the Possibilities of Contestation: what are cultural agency and hegemony? how might they apply to a few things youve learned about in this course (Introduction...

Why do people need to have a clear promotion path in their jobs? What other motivators would you provide for people?

A sphere has a 2 % error made in the measurement of its radius. Choose the approximate percentage error in its surface area. ( Surface Area of a sphere = 4 ie r 2 )

In the following reaction, 2X + B2 H6 [BH2(X),]*[BH4]. Which is not suited for X? (A) NH3 (B) CH3NH2 (C) (CH3),NH (D) (CH3),N

Anhydrous AICI, is covalent but hydrated AICI, is ionic this is because (A) The sum of the hydration energies of Al+ and Cl-ions, and the electron affinities of Cl ions exceed the sum of the three...

1. Can the government make things worse by intervening in markets? Are there other options outside the markets and government that will fix macroeconomic failure? 2. President Biden has been pushing...

GazCla is diamagnetic in nature. This diamagnetic nature indicates (A) It is a dimer of GaCl, with chlorine bridge bonds (B) GazCla gives Ga(OH), with sodium hydroxide solution (C) it is a complex...

Boric acid is used in carrom boards for smooth gliding of pawns because: (A) H3 BO3 molecule are loosely chemically bonded and hence soft (B) its low density makes if fluffy (C) it is chemically...

Create a 200 word summary on the Juvenile Justice System than and today. Describe The Juvenile system and provide a generalizable definition. Highlight the issues in the Juvenile system and why this...

Depletion Oozzy Oil Company paid $35,000,000 to acquire an oil well containing an estimated 7 million barrels of crude oil. Oozzy immediately invested an additional $1,400,000 preparing the well for...

Sale of Depreciable Asset Sunsweet Corporation purchased a building on January 1, 1991, for $900,000. It sold the building on January 1, 2000, and made the following journal entry: Sunsweet used...

Amortization of Intangibles At January 1, 2001, Film Corporation reported the following balance sheet amounts: Buildings and equipment have been depreciated for four years on a straight-line basis...