1 foto Read It If f is continuous and Need Help? f(x) dx = 16, find [x xf(x²) dx.

Q: 6. ၂ 3z+1 -4) -dz

A: ∫3z+1(z2-4)2dzExpand:=∫3z(z2-4)2+1(z2-4)2dz=3∫z(z2-4)2dz+∫1(z2-4)2dzNow solving…

Q: 7. [(In x)² dx

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Q: 50 50 " (ax³ + bx² + cx) dx = 2b [³²x -50 A) True B) False x²dx

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Q: If f"(x) < 0 at x = c, f(x) at x = c is

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Q: (D³ - 3D²D + 3)y = 0

A: The given differential equation is: D3-3D2-D+3y=0   So, the auxiliary equation is: m3-3m2-m+3=0

Q: An inner-city revitalization zone is a rectangle that is twice as long as it is wide. The width of…

A: topic- application of derivatives

Q: S x3 -4 16-x² A 4 B) None C 0 D) 8 E 2 dx is equal to

A: To find the value of the given integral

Q: For the function z = x² +2y²-4x+4y, which of the following statements is true? O a. The function z…

A: Given,  z=x2+2y2-4x+4y

Q: Equation xdy + ydx = 0 y"-3y" + 3y + y = 0 (y)¹/² = √/(1+y")4 Order Degree Kind IV DV

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Q: Evaluate and Solve the function using the product and quotient rule of differentiation. Show your…

A: Here we have to use the concept of derivatives.

Q: True/False 1) d[f(x) g(x)]/dx= f'(x)/g'(x) 2) d[f(x)]"/dx= n[f(x)] f'(x) and…

A: This question is based on diffrentiation and integration.

Q: 3. Use a known Maclaurin series to obtain the Maclaurin series for the following. f(x) = = x COS…

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Q: For the following exercises, use the second derivative test to identify any critical points and…

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Q: 5.5x-2 dx

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Q: 2 2 the equation of the tangent plane to the surface x² + y² + y² +2²= -1 at the point (2, -3, 4)

A: I am attaching image so that you understand each and every step.

Q: sec4 w tan w dw

A: Solution of given question is written in below steps.

Q: 7 dx x4 - 16

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Q: dx (4x²-9)

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Q: 50 [" ( ax³ + bx² + cx) dx = 2b = 25 150 x ²6 x²dx -50 0 A) True B False

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Q: C. length x, width = D. length = 2x, width - [Select] da = 24 = 24 V What is the appropriate…

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Q: D +00 [+0⁰. Evaluate: A B 0 C) None 1 +∞ (divergent) E ex dx

A: We have to solve above integration

Q: e Sc (4x + 3√y) c Evaluate figure. ds where C is given in the accompanying CH 1- (0,0) y=x O (1,1) X…

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Q: Calculate the integral, for y> 2. 'Y x² - 4x + 5 √₂ - (x² − 2x + 2) (x² − 1) dx,

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Q: Rearrange lim x* so that we can apply x→0+ L'hopital's rule.

A: Given,limx→ 0+xx

Q: Let Use the limit definition of the derivative to calculate the derivative of f: f'(x) = Use the…

A: Given: f(x)=3x3-6x-4

Q: 6. dx 13+4x- ?ܢ

A: A detailed solution is given below.

Q: Fill in the missing steps to determine convergence or divergence of the following series 2(1. n-1…

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Q: Find f 6x dx?a.x^2+C. b.2x^2+C c.x^2/3+C d.3x^2+C

A: The given integral,        ∫6x dx

Q: Q2/A) Solve the following differential equation x²(y + 1)dx + y²(x - 1)dy = 0 DE

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Q: (D² + 4)y= 4 cot 2x

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Q: 4. Being careful to allow for parts of the curve being both above and below the x-axis, determine…

A: We need to find area.

Q: Find an explicit description of Nul A by listing vectors that span the null 1-4-20 A= 0 0-10 0 A…

A: In order to find the explicit description of NulA we have to find the solution of the system Ax=0…

Q: Covered topics are Applications of Definite Integral: Plane Areas and Areas Between Curves and…

A: We have to find volume generated by given condition.

Q: 2xy π Find the equation of the tangent line of the function tan (xy²) = " at x = π

A: This question is based on finding tangent equation while calculating slope.

Q: y = 9x² and y = 0 about x = −4

A: Given:        y=9-x2 and y=0         x2=9           x=3 about x=-4

Q: 2t³ +11t+8 3 t³+4t² +4t 7. S -dt

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Q: 1. Find each derivative. a) y = sin- X c) f(x) = ln- sin x COS X b) y = cos(x² - 2x-8)

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Q: 7. In drawing 5 cards from a standard deck of cards without replacement, what is the probability of:…

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Q: 3. Find the volume of the solid formed by revolving the region formed by the curve y = sec about the…

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Q: 1. xpzx-91/f

A: As per Bartleby guidelines rule I am answering only first question as second question is not a…

Q: figure out absolute min & max values: g(x)=cos^2(x)-3sin(x) Interval: 0<=x<=pi

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Q: QUESTION 17 Find a MacLaurin's series centred at x = -2 for.f(x) ==

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Q: < d dx x² 2 tan t²dt=2x tan.x² (A) True B) False

A: Formula :

Q: 9. √x SOL -√√x dx

A: We will solve the given integral using simple Integration rules.q

Q: B D E 2x None 2 A √ N dx is equal to

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Q: Question Define R as the region bounded by the functions f(x) = around the x-axis, what is the…

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Q: Determine the derivative of the function g(x) = 3x + 4 / 74x. Do not simplify your answer.

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Q: Which of the following is or is not an improper integral? Clearly explain your choice. A. ₂ dx B.…

A: improper integral means whose limit at any point goes to infinite  here check for it. ∫1dx/(x-2) =…

Q: St. -4 16-x² A 4 (В 2 (C) 0 (D) None (Ε 8 00 dx is equal to

A: This is based on the definite integral.

Q: Which of the following is or is not an improper integral? Clearly explain your choice. A. ₂dx B. dx…

A: