Let a be a real valued constant. Evaluate /e-ax sec(e-ax )dx

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Q: Let f(x) = In(x²) f'(x) = f'(e*) = > Next Question

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A: We have to solve

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A: Explanation of the answer is as follows

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A: Given a function u=f(p,q)

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A: Given that: f(x)=9x3 , a=1

Q: Find the linearization L(x) of the given function for the given value of a. f(x) = 7/x, a = 81 L(x)=…

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Q: a) Find f'(e), where f(x) = am. %3D

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Q: Find the linearization L(x) of the given function for the given value of a. f(x) = 3/x, a = 64 L(x)…

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Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. f(x) =…

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Q: e*, cos x , sin x O linearly dependent linearly independent

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Q: Differentiate (assume k is a constant) y=1/(p + ke^p)

A: y = 1p + kep

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A: Given that a integration and we solve use these integration to another integral value.     Here i…

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Q: t dt. Use Part I of the Fundamental Theorem of Calculus to find each of the following when f(x) =|…

A: f(x)=∫3xt7dtf'(x)=ddx∫3xt7dtBy fundamental theorem of integral calculusf'(x)=x7

Q: Let a be a real valued constant. Find the value of , 5¤ |x| dx. 50a O It does not exist. 50

A: Consider the given integral. ∫-425αxdx The objective of the problem is to evaluate the given…

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A: f(x) = ln(ln x) + x f(x) is not defined if ln x <= 0 [as then ln(ln x) is not defined] ln x <=…

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A: In the given question we need to find value of x such that- ∫1x1tdt  is equal to - (a) ln9…

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Q: Find the linearization L(x) of the function at a. f(x) = –9x?, a = -9 L(x) =||

A: Given:- The function is, f(x)=-9x2 To find: - The linearization L(x) of the given function at a=-9

Q: Let. a, B, and Y. be real valued constants. Let h (x) = V2ax + yß. Find 옮h(z).

A: we have to find the derivative of h(x)

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Q: Find domain and range of the function f(x, y) = In[ e – x² – y°]

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Q: d) Differentiate the function f(r) = (x + log, x)ª

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A: The given functions are: f(x)=log2(x) & g(x)=cos x

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A: Here we have to find the function f and a positive number b of the given integral.

Q: Let. a and B be real valued constants. Let g (æ) = 2Bx® Let h (x) V2ax. Determine. (h (x) g (x)) d

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Q: Let f(x)=xeax, where a is a constant.  Q) Show that L{f′(x)}=aL{f(x)}+ 1/s−a.

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Q: Let a be a real valued constant. Let f (x) = 3axt. Let h (x) = /2ax + 5 . Determine (f (x) h (x)) .…

A: Here we will use chain rule of differentiation to find the solution

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A: Here A,B,C,D and E are not constant it's function of the variable x.  Explanation is given below...

Q: Use a formula to express w as a function of t if w = s2 + 1 and s = t − 2. w =

A: Explanation of the answer is as follows

Q: Use a formula to express w as a function of t if w = V 55 + 6 ands = e - 1.

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Q: Let X1 and X2 have the joint pdf f(x1,x2) = 8x1x2, 0 < x1 < x2 < 1, zero elsewhere. Find the joint,…

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Q: Denivate h(x) = JXen(x)

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Q: Let A(x) = f(t)dt, with f(x) shown in the graph below.

A: Given that: Graph of f(x)

Q: Let a be a real valued constant. Evaluate e-az sec(e¯a«)dx . O - In|sec(e-a*)+ tan(e¬a")|+C…

A: Given: - Let α be a real-valued constant. Then the indefinite integral is, I=∫e-αxsece-αxdx To find:…

Q: Use part I of the Fundamental Theorem of Calculus to find each derivative, given the following f(x):…

A: Given function is