Question If you were to use a substitution of u = cos(x) to evaluate the definite integral below, what would the new limits of integration be? -8 sin (æ) cos? (x) dæ (Enter an exact answer.) Provide your answer below: The new lower bound is and the new upper bound is

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Q: The slope of a tangent line at (1, 4) is 2. What is the equation of the line? Select the correct…

A: As asked we can answer the question with out all explanation in the following steps

Q: Use Intermediate Value Theorem to explain why the function has a zero in the given interval. [0. 1]…

A: Given problem:- Use Intermediate Value Theorem to explain why the function has a zero in the given…

Q: 4. y =, x = 1, x = 4, and y = 0 is revolved about the y – axis. (Answer: 247 C. u. )

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Q: Let W = (a + bxr +x? € P: a,b ER) with the standard operations in P2. %3D Which of the following…

A: W is not a subspace of P2 because 0 does not belong in W.

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Q: In the year 1985, a house was valued at $110,000. By the year 2005, the value had appreciated to…

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Q: What are the two values of k closest to 1 - 4 for which S sin? (x +4) – cos² (x + 4) dæ has a value…

A: The solution is given in the next step.

Q: dz dz Draw a dependency diagram and write a chain rule formula for and given the functions below. ds…

A: 1. D  2. D

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A: Given : B be the sphere x2+y2+z2=1

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Q: 9.x (vi) S dx. x2+15 da. u =

A: Let I=∫9xx2+15dxTake the constant outI=9·∫1x2+15dxSubstitute u=x15.Differentiate…

Q: 1 an 1 Use the transformation u = 2x+ y, v=x+ 3y to evaluate the given integral for the region R…

A: Given

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Q: Show complete and orderly solutions. Simplify all final answers whenever possible. Using…

A: L(Cosh at).

Q: Using concepts from this unit, Curve Sketching, of this course only, explain why a quadratic…

A: To explain the correct reason.

Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

A: Given

Q: 12. Use words to describe the sequence of transformations. Do not graph. f(x)=-4 3x+9 -6 2.

A: Transformation of function -4123x+9-6:

Q: Solve the differential equation dy + y = 4xy³, y(0) = dx %3D 1.

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Q: The graphs of the first and second derivatives of a function y the figure, f is decreasing concave…

A: Given query is to find statement is true or false.

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Q: Write true if the statement is correct and false if the statement is incorrect. = V3x + 2 Given the…

A: As asked we can answer the question true or false with out explanation as below.

Q: Find and sketch the domain for the function. f(x.y) = / (x - 9) (² - 4) Find the domain of the…

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Q: Consider the function f(x) =2x + 6x? on the interval [1, 3]. Let K ER be such that K = max |f"(x)|.…

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Q: 6y dx dy

A: x limit  x=y2and y is from 0 to 1 Option B

Q: 2x J(x – 3)2 A = 6, B = 2 A = 2, B = 6 A = 2, B = - 6 A = - 2, B = - 6 A = - 2,B = 6 None of the…

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Q: (j) lim sin z I→0+

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Q: The power series representation of 1 f (x) = 5x +4 is: O 5 25 125 x+... 256 4 16 64 25 125 x++...…

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Q: The series E- an is divergente then the series E(an)* is also divergente k31 Select one: True False

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Q: Find the Taylor series generated by f at x = a. 1 a = 4 f(x)= x

A: We are asked to find taylors series of the function

Q: Suppose f(x) is positive, continuous, and f'(x) < 0 for all æ in [ – 8, 4], and| f(x)dx = 76 and L…

A: Concept: Mean value theorem: The mean value theorem states that if a function f is continuous over…

Q: x5Vx2 + 2dx

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Q: .C find the firet order parhal dervohve f 4.5 1. z) = e 32 W="y - 10y2³ + 432 hCs, t) =° t?In ts) +…

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Q: Find * S L-1 (s²–4s+13.

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Q: In cos x (1) lim x→0 tan x2

A: Let's find.

Q: 3. y = e-x and the x axis is revolved about the y – axis. (Answer: t C. u. )

A: Let's find.

Q: Enclosing an Area Patricia wishes to have a rectangular garden in her backyard. She has 64 ft of…

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Q: Solve the following initial value problem. f′′(x)=−36x^2−18x−4,f′(−1)=13,f(−1)=−35

A: To solve the initial value problem.

Q: In what instance does the Chain Rule of differentiation applicable? Explain briefly.

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Q: 프-3r-dx= a) 클m3x + 21+ tanx + C b)습 미3x + 21-tan'x + C Q13:J +1)(3r+2) d)흘 I미3x + 21+ tanx + C -1…

A: The integration of the integral is  (2x2-3x) /[(x2+1)(3x+2)].

Q: Find * L-1{ 52-4s+13

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Q: 12 · x2 – 28 · x + 20 A B Let f(x) The partial fraction decomposition of f(x) where A, B, C E Z. (x…

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Q: dy dx Jo 17 /289-: Change the Cartesian integral dy dx into an equivalent polar integral. Then…

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Q: 4 4 Use the transformation u= 4x + 3y, v=x+3y to evaluate the given integral for the region R…

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Q: On what instance does the Chain Rule of differentiation applicable? Explain briefly

A: To explain when we should use chain rule.

Q: 29 – 44 dy 2+ 49 с.

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Q: n3 + n? ) Σ 00 (n – 1)! n=1 2n + 3 n2 In n n=1

A: