Find the maximum and minimum values of the function g(0) = 30 – 8 sin(0) on the interval [0, T] Minimum value = Maximum value =

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Q: 2. Calculate the following limits. Justify your answer. L'Hopital's rule Rule ) (without using 2x +1…

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Q: . limx→1−   F(x)= 2. limx→1+   F(x)= 3. limx→1     F(x)= 4.F(1)=

A: we have to find limit.

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A: Simplify the integral

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A: We know that,  A geometric series is the sum of an infinite number of terms that have a constant…

Q: b) Calculate the integral: - .- (x+ 2y) dædy where the region R is defined as: R= {(x,y) E R² : 0 <…

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Q: Question 5 > Find the value V of the Riemann sum V = > f(ck)A¤k k=1 for the function f(x) = x² – 2…

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Q: b) The sum of the first 15 terms of the sequences 7,-14, 28, –56, 112,..

A: We have to find out sum of 15 terms

Q: Find the missing values assuming continuously compounded interest. (Round your answers to two…

A: This question can be solved using the concept of compound interest.

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A: We have to find out solution

Q: Fundamental Theorem: 2x sin t -dt. Find the value of f'(x). t2 +1 Let f(x) = | %3D

A: We can solve this as follows:

Q: (a) Evaluate the double integral.

A: answer is in next step

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Q: find the laplace transform L{cosh3tsin3t}

A: Solved below.

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A: Here we have to find the value of m+k

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Q: Let y(t) represent your bank account balance, in dollars, after t years. Suppose you start with…

A: We have to solve the given differential equation

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Q: Ssinx j 4. sin x cos x dx 3.

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A: The given function is f(x)=1x+2 over the interval [3, 7] We have to use five approximating…

Q: 1. limx→−1−  F(x)= 2.lim x--->-1+  F(x)= 3. limx-->-1  F(x)= 4.F(-1)=

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Q: 5. A squirrel runs along the edge of a fence. The graph of the squirrelľ's velocity v(t), in m/sec,…

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Q: If f(x) = (3,-1) what are the coordinates of f(x) : +1?

A: To find the coordinates of the new formed function.

Q: Evaluate the limits. 4r +4 z 8 Enter DNE if the limit does not exist. a) lim g(z) = b) lim g(z) = c)…

A: Evaluate the limits

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A: Explanation of the answer is as follows

Q: f(x)=x^3+6x^2−63x+6 A. interval [-8,0] 1.Absolute Max= 2.Absolute Min=  B. interval [-5,4]…

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Q: )Lim. 2. H-HCOSX-2Sin x

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Q: The graph below is the function f(x) 03 -5 -4 -3 -2 3 4 -2 -4 -5 Find lim f(x) = x→ -1 Find lim x→…

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Q: 2 tan theta / sin 2 theta = r in rectangular coordinates

A: Solving

Q: Given the force fieid F, find the work required to move an object on the oriented curve. F= (y, z,…

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Q: onsider the functionfx) 5x" + 8x 1. f(x) has a critical point at x ind the value of A: A, does f(x)…

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Q: (a) f(x) dæ %3D

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Q: Evaluate (if possible) the sin

A: answer is in next step

Q: Calculate the limit, if it exists, 5 lim x→7 (7-x)

A: On solving this we will get

Q: (a) 12t – 5t? + 9 dt = +C. (b) u714 TA + 4.5ū du = +C. dx = 5x6 (c) +C.

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Q: Assume that x and y are both differentiable functions of t and find the required variables below.…

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Q: The equation y = log(x – 3) has a vertical asymptote at: X =

A: The graph of log(f(x)) has a vertical asymptote at the value of x such that f(x)=0.Example: for…

Q: 6+ 4 3- 2. -3 -2 -1 2 18 For the above rational function f( x) = 2.5x2 + 3.5 identify the interval…

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Q: 3. Find the derivative of each of the following functions. Justify your answer. z sin z (a) f(x) =…

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Q: where Sint yo teld y=ueat cast. U=-2 i t=0 and then dt.

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Q: 1 4 5 1 To find the blue shaded area above, we would calculate: 9. f(x)dx = area a Where: a = b =…

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Q: What is the minimum value of p (p>1) for which Q. 19 COS X dx <-? 9. 10 1+x

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Q: A farmer has 2,000 feet of fence and wishes to build two identical rectangular enclosures, as in the…

A: Maximize area

Q: 12. The function f(x) and its first and second derivatives are as given below. f(z) - 2 6- 2z g"(z)…

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