The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. y 12 y = g(x) 6 X 12 21

Q: Find the inte gral. Box Final Answer. For the definite integral, give the excact answer only dx

A: Answer is in below steps.

Q: Give an appropriate response. 3) Find the limit of f(x) as x approaches 2 from the left. (-3 if x3…

A:

Q: Find the derivative. (The Fundamental Theorem of Calculus -- Part 1) 19) y = cos ft dt COS-

A:

Q: 4 3 2- O 1+ -2 -1 1 2 x 1,

A: Solved below

Q: the substitution formula to evaluate the integral. 4 cos³ x sin x dx T/3 27) 15 A) 15 B). 15 3276 D)…

A: Given query is to find the value of the integral.

Q: Find the consumers' surplus at a price level of $8 for the price-demand equation p=D(x)=50−0.6x…

A: Given:   D(x)=50−0.6x    p = price      x = demand

Q: Evaluate the integral. x³(5x + 4) 22) dx Vx5+x+ +7

A: Find the integral using substitution method

Q: Cos dx 32 osSsin) +2+c (주)-5cos주)+ 기+ C 35 32 -cos 35 32 cos 7 (2)- 32 cos(수)+C +C 4 Cos COS

A:

Q: 2x+11 3 1 dx evaluate Consider x² + x-6 dx- x+3 x-2 x+3 X-2 x-2 In +C |x+3 |(x-2)³| In x+3 |x+3 +C…

A:

Q: x² xp a) Integration Process b) Antiderivative c) Substitution of limits d) Computod Analycis of…

A:

Q: Find the integral. 21) + e3t) dt

A:

Q: Question 8 If limx→a J(X): |8(x) lim;-»a [f(x)] = = 1 and limx→a g(x) : = o then, we must have %3D…

A:

Q: Find the area bounded by y = x+ 4 and y = x2 - 2. Answer:

A:

Q: Three pens of the same size are to be built along an existing fence. If 480 feet of fencing is…

A:

Q: evaluate intelga)

A: Consider the integral  ∫1x3dx

Q: Determine if the equation is separable. If so, solve the initial value problem. " e'y'(t) = t (In…

A:

Q: Given t = x + ex, find dx/dt

A:

Q: Determine whether or not F is a conservative vector field. If it is, find a function f such that F =…

A: Given function F(x,y)=( 2x-6y ) i+(-6x+14y-7) j

Q: 2x³-x²+ x +2 D dx X +1 C Consider find A+B+C+D x4 + x3 4 O 2 O 3

A:

Q: Sketch and determine the opening, vertex and focus of the parabola with an equation of y? - 8x + 16…

A:

Q: Region bounded by: y = x+1, y = -x + 4, x = 0 Rotate about: y-axis %3D

A:

Q: 2 (3 — х2) dx

A:

Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

A: Here we will find the smaller and larger distance values,

Q: 2x4 + 3x2 – 1 Rewrite dx as integral of sum of partial fractions. (x³ – 4x² + 5x)? C(2x- 4) +D E(2x…

A:

Q: 2x3 – x² + x + 2 -dx = A + dx find A+B+ C+D- X+1 Consider x4 + x3 2 O 5 O 4 3

A:

Q: we the system. If the system has one unique solution, write the solution set. Otherwise, determine…

A:

Q: Find the largest open intervals where the function is concave upward. 16) f(x) = x3 - 3x2 – 4x + 5…

A:

Q: f "(x) 2)-1/2 x+2( -3 + 2)-1/2 + 4) -3( 2x+ 2

A: Solving

Q: sin dx. Use trigonometric groups- 4. cos

A:

Q: Find the absolute maxima and minima of the function on the given domain. T(x,y) = x? + xy + y? - 9x…

A:

Q: Which of the following functions is the derivative of „sin(x) f(x) : = X sin(x) cos(x) xsin(x)…

A:

Q: [ 2x4+3x2 - 1 dx as Rewrite integral of sum of partial fractions. (x3 – 4x² + 5x)?

A:

Q: e2 and x e*. Find the area below the curve f (x) = between x = %3D x In x

A: The region is bounded by the curve f(x)=1x lnx between x=e2 and x=e4

Q: Find the general solution of the differential equation. у" - 400у %3D0 ... y(x) =

A:

Q: 1. Cosxdx Rubrics: Integration process Antiderivative Substitution of limits Computed/Analysis of…

A:

Q: Consider the function below. f(x) = -4x2 + 24x + 4 (a) Find the critical numbers of f. (Enter your…

A:

Q: X-8 Q18: Select the incorrect step while evaluating S dx. x2-7x+10 x-8 8 I: Let I = dx = S dx - S dx…

A: Given problem:-

Q: Using Integration By Parts, Vx In 2x dx= uv- Jv du- Find u v- du- 3 x/x In 2x- Vx dx 2 O 2 xVx In…

A: The given integral is: ∫xln 2x dx

Q: x dy Q33. Solve the differential equation = 3x dx (a) y =+ ce 5 (b) yà = +ce 5 +ce 5 (c) yš = Vx +…

A: To solve the differential equation xy-23dydx+35y53=3x.

Q: Find the angle between the vectors u = 2i – 6j and v = - 2i + j + 5k. The angle between the vectors…

A:

Q: The line through (- 10,7,10) perpendicular to the plane 9x + 2y + 6z =5 Choose the correct answer…

A: Given query is to find the equation of the line.

Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given…

A: We can find the answers as below.

Q: Evaluate the integral Scot? x dx -cot x - x + C cot x + x + C cot x - x + C 1 cot x + C .3 X + O O

A: Topic = Integration

Q: Find the most general antiderivative. 20) [7x3 - 4x + 5)dx

A:

Q: Find the arc length parameter along the curve from the point where t = 0 by evaluating the integral…

A:

Q: 13. Find dy/dx of y = xnx

A: According to Bartleby's guidelines we can solve only 1 question at a time. Here's the solution of…

Q: | cot2 x dx 1 ot x + C cot x - х + с cot x + x + с О -cot x —x+C

A: Given query is to find the the integral.

Q: 15х2—х3— 43х — 19 Ax + B C The integral /- D + rx +s -dx can be rewritten as dx. (x+1)2(x²– 6x + 13)…

A: The integral ∫15x2-x3-43x-19x+12x2-6x+13 dx can be written as ∫Ax+Bax2+bx+c+Cmx+nt+Drx+s dx.To…

Q: 100 10) y = 2 + 9e-3x

A:

Q: Using Integration By Parts, x3 / x² + 4 dx = u v - v- Svau-

A: