for power substitution method, next step is For S dx xp: 4u³dx 4u³dx 1+ u* 1+ (u*)ã Option 1 Option 2 4u*dx - S 1 + u NONE or TU r OUOI oro

Q: Find dy/dx: y = sin (In x²). A 2 cos (In x²) (B) 2 cos (In x²) / x

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Q: 15 10 5 -5 -10 -15 -10 -5 5 10 the x coordinate of each point: 1 the positive y coordinate: 4 the ne...

A: Given query is to find the closest point to the point (0,4).

Q: Determine whether the improper integral diverges or converges. dx 1.fº. (2x-1)3

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Q: 3x 2 dx 2x*-1

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Q: 3dx For f x-Vx = O x= u^(1/2) x= u^2 x= u None of the choices

A: Given integration is  ∫3 dxx-x.

Q: 2x3+3x dx x*+3x2 C A 2 In I x4 + 3x² I+ C In I x4 + 3x² |+ C In Ix4 + 3x? I + C - In Ix* + 3x? | + C...

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Q: I, 7y? da, D is the triangular region with vertices (0, 1), (1, 2), (4, 1)

A: Integral

Q: Find the derivative of y = 3 sin x A 6 sin x B 6 cos 2x (c) 6 tan x

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Q: 3. If the sum of two numbers is C, find the minimum value of the sum of their squares.

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Q: Find lower bound for f(n) = 5n².

A: To find the lower bound for f(n) = 5n2

Q: For f dw ,w = w-wa O w = u^(1/3) O w = u^3 %3D O w = u^(2/3) w = u O O

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Q: Given cost and price (demand) functions C(q) = 120g + 42,000 and p(g) = - 1.9q + 870, what is the ma...

A: Solved below

Q: et cot (el - 9)dt

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Q: ven cost and price (demand) functions C(q) = 110 - should be $ Round answer to nearest cent.) per it...

A: Given:  Cost and price demand functions are given byCq=110q+42000 pq=-2q+880 To Find:  To determine ...

Q: 65. y = 3x - x3, x = 0, y = 2 are bounded in the first quadrant. Determine its area. % sq. units %3!

A: Given: when y=2, we have 2=3x-x3⇒x=1. Now, dydx=3-3x2. So,            S=2π∫01 1+3-3x22dx  =2π∫01 10...

Q: C. Based your answers on the figure at the right. 1. [- 5, - 3] 2. (- 2, 0] 4. 3. [- 3, - 1] 3. 4. [...

A: Find your answer below 

Q: Find the exact length of the curve. y= In{1 – x²), o s 1. 0 sxs! 7. I Ju =

A: We will find the exact length of the curve as shown below

Q: Given f(x) = 2x and g(x) = 4x + 5, evaluate each expression. %3D (a) fg(0)) (0) r(o(글) (c) g(f(0)) (...

A: Given; fx=2x3 & gx=4x+5   (a). First, we have to find g0. So, g0=40+5=0+5=5  

Q: (C) Desoibe the relationship between the graphs. The graphs of fand are reflections of cach other ac...

A: solution:-f(x)=x3/7(a)y=f(x)=x3/7x=y7/3hence,f-1(x)=x7/3 (b) Graph

Q: Given f(x) = cos x and g(x) X, evaluate each expression. %3D (a) g(2)) (b) (oG) (c) g(f(0)) (e) f(g(...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: Given problem:- Find unit vectors that satisfy the stated conditions.   NOTE: Enter the exact answer...

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a grap...

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Q: 16. 1+ Vx= x +a (16 + x³)ª * =- b(16 + x²)* x=)= + C 17. x* dx :(9x + 49)을-(9x + 49)을 +c V9x + 49 18...

A: As per bartleby guidelines we only give first question answers.

Q: Let the region R be the area enclosed by the function f (x) = 2/x, the x-axis and = 5. Find the volu...

A: Find your answer below 

Q: zln x dx 2) S 3 cos3 x sinó x dx 3) 12.1 dt 13. 3t + 2

A: Explanation of the answer is as follows

Q: he volume bounded by y = x², y = 0 and x = 2 rotated about the specified = specified orientation of ...

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Q: Using the graphical method and Excel application, approximate the root of the equation x- e-* = 0, x...

A: x-e-x=0, x∈-2, 2To Find: Using the graphical method and Excel application, approximate the root of t...

Q: Find the area of the parallelogram that has u = 2i – 3j+ 2k and v = 2j +k as adjacent sides. NOTE: E...

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Q: Tind the vectors that satisfy the stated conditions. VOTE: Enter the exact answers using the provide...

A: We will find the vectors satisfying the above conditions. 

Q: The graph of y = f(z) is shown. -2 Determine the sign of the following limits, if they exist. f(3 + ...

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Q: (a) Let F = [cos (x), e¬Y, e-2²], C: r = [2t, t²,3t], calculate the integral S,F(r)· dr based on (x,...

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Q: 2. Find the area bounded by the curves y = x? - 2x + 2 and y = - x+ 2. (о, 2) (1, 1)

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Q: B) Find (dy/dx) for the following 1. y = tan2(cosx)

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: 6 The coefficient of Sin(x) in the antiderivative of F(x) =|cos is Blank 1 (use fraction form not de...

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 11) y = In 1-x (x +4)3

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Q: Evaluate the given integrals. 3x?dx 1. S 2х4—1

A: Given that a integration and we solve this problem by using general formula of integration.         ...

Q: y = V1 + t² dt

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Q: dx 16. S 9x2-4 |3x+2 A. In +c B. In D. tn +C + C + C |3x+2 |3x+2| 3x-2

A: This is basic integration problem

Q: Q3 - What is the difference between dot product and cross product?

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Q: for power substitution method, next step is * For ai-(r+3)} dr f - 4u²dr 4u²dr -S (u*)& – (u*)* (u*)...

A: For using power substitution method, to determine the next step for the following integral.∫drr+334-...

Q: Find all possible functions with the given derivative. 7) y' = 5x2 + 1 %3D

A: solution = y' = 5x2 + 1  y' = dy/dx dy/dx = 5x2 + 1 ∫dy = ∫(5x2 + 1 ) dx + c  [ yn dy = yn+1 ] y =5x...

Q: 9. Consider the equation + n+ 1 n+4 1, what must be the value of n so that the graph is hyperbola? H...

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Q: 3. AQRS ASDQ Solve for the value of x 3x-2 D.

A: Given

Q: 17. If y = tx, where t is the parameter, what are the parametric equations of the curve x' + y' = 8?...

A: solution:-y=txx3+y3=8x3+tx3=8x31+t3=8x3=81+t3x=21+t33

Q: Evaluate the integral. In(12 x 11) dr

A: We use integrated by parst and solve the given integral.

Q: state if these are true or false

A: True. 

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: Consider the points A(3, -3, 3), B(4,-5,0), C(-3, -4, 0), and D(6, 2,-6). (a) Find the volume of the...

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Q: 8a-4 Identify all the points of discontinuity of the function f (x) = [f(x)=(8x- (4x3-) 4)/(4x3-x)]....

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Q: 20. sin nx dx + f * +[ cos? nx dx , where n is any real number. A. 0 В. 1 С. т D. 2 T

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