Determine the function f satisfying the given conditions. f'(x) = -3x2 8. -3 f (3)= 8. f (x) = %3D

Q: 2 ne-n?

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A: Given : Principal : $8000 Rate = 2% Time = 5 years  

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A: This question is based on application of integration.

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A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: 2. (x² – y²)³ = 3a*x? %3D

A: Differentiate both sides of the equation with respect to x.Then solve for the derivative of y with r...

Q: c) f(x) = V3sinx d) f(x) = x³tan(5x)

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A: Cooling

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Q: 2e" dx (e – 1)2 1

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A: We can find the answer as below.

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Q: 2x – x3 dx (x – 1)° (x² + 1)

A: Given,           ∫2x-x3x-12x2+1dxTo find : Evaluate using partial fractions and w/o u-substitution.

Q: 3. у %3D In(5 — е**) 4. x = et (cos 2t + 2 sin 2t)

A: Topic:-  derivatives 

Q: Calculate the partial derivatives and using implicit differentiation of (TU – V)² In (W – UV) = In (...

A: Given problem:-

Q: log 21.1 = 0 In V = 0 11

A: log(21.1) = 1.3242824 So, on rounding off, it will be 1.324

Q: H.W: 1. find the derivative of the function f(x, y, z) = xy+ yz+ zx ,at the point P,(1,-1,2) in the ...

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Q: 1 and g(v) = Vv+ 5, find (f o g)(v) and (g o f)(v). v2 + 1 If f(v) =

A: The given functions are  f(v)=1v2+1  &  g(v)=v+5

Q: Suppose Ryan borrows $9000 at an interest rate of 3% compounded each year. Assume that no payments a...

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Q: с). I(т) — 23 +1

A: The given function is: I(x)=2x3+1

Q: 17. Find the volume of the solid obtained by revolving the region bounded by the graphs of y = tan(x...

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Q: geles B=} AtC= | AtC-2D= -2 う -2D = -3 2の I +3

A: As per guidelines we can elaborate and solve your query as answer below.

Q: The function g is defined by the following rule. g («) = G Find g (x) for each x-value in the table....

A: solution:-g(x)=17xg(-2)=17-2=72=49g-1=17-1=71=7g0=170=1g1=171=17g2=172=149hint,a0=1a-1=1aa is consta...

Q: lim + sin(x)cos(x) 1+ In (x)

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Q: solve the differential equations by using integrating factor y'= (y/x) + 2x+1.       when ; y(1)= 3

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

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Q: The cos'ydy is equal to 3 A. siny + sin?y +sin³y - sin'y+ C sin'y + C 3 1 B. siny – sin³y + siny -; ...

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Q: Find the linearization L(x,y) of the function at each point. f(x,y) = x? + y? +1 а. (4,1) b. (3,3)

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Q: 2x – x3 1. Evaluate dx. (x – 1)²(x² + 1) | NO NEED TO SHOW SOLUTION FOR NUMBER ONE; JUST USE NUMBER ...

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Q: tanwdw The is equal to 1- tan?w A. In (Vsec2w) + C B.In (Vsec2w) + C C. In (Vsec2w) + C D. In (Vtan2...

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Q: Use integration by parts to show that for n > 2: / sin" x dx: 1 sin- x cos x + /sin-2 x dx.

A: To evaluate: ∫sinnx dx

Q: Let y =(f(x) + 5x2)4 and suppose that f(−1) = −4 and dy/dx = 3 when x = −1. Find f‘(−1).

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Q: if x>1 if x = 1 ,a=1 if x <1 f(x) = {1 2х

A:

Q: lim 2sinx – / メ→% 6x-TT

A: Given,            limx→π62sinx-16x-π

Q: Determine whether g(x) is continuous on the following intervals. 1. (-5, -3) g(x) 2. (-3, -1) 3. (1,...

A: Given :   g(x) is a function that is :

Q: B. Write a formula for the general term of each infinite sequence. 1. 3, 5, 7, 9, ... 2. 1, 4, 9, 16...

A: As per the company guidelines we are suppose to answer first question of two subparts.Kindly repost ...

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Q: A radio tower has a 2525-foot shadow cast by the sun. If the angle from the tip of the shadow to the...

A: We know,  tanθ=heightbase

Q: For the function G(x) = 3 – x, find G(-6), G(u), and G(u) . G(-6) = (Simplify your answer.)

A: For the function Gx=3-x2, to find G-6, Gu, and Gu2.  

Q: Hint on Problems 4 and 5 below: The surface on the top of the region is z = 3y², and the surface on ...

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Q: Find the slopes of the curve y =y? -x at the two points shown here. V3 The slope of the curve y = y2...

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Q: Find the radius of convergence and the interval of convergence. 00 5k k=0 Choose one Radius of conve...

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Q: 9. An amount of $12,000 is deposited in a bank that pays interest at a rate of 3.5%, compounded cont...

A: Given query is to find the the amount after 4 years and the interest earned.

Q: 2. Graph the function f (x)= x+ Vlx\ . Zoom in repeatedly, first toward the point (-1, 0) and then t...

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first ...

Q: Find all critical points of the following function. 4 f(x,y) = - 8xy + 2x* +2y*

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Q: H.W: Solve-Using D-operator dy dx + dt + 3y – 5x – e-t = 0 dt dau

A: Given: - The differential equation is, dydt+dxdt+3y-5x-e-t=02dxdt+dydt+x+y-3=0 To solve: - The solut...

Q: dx 4. S x2Vx2-9

A: The given integral is  ∫dxx2x2-9

Q: PART I. Solve for x in each proportion. jewane 1uoy nislox3 inemetete yhslimie e shw x-5 3. x+3 15 2...

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