The integral of the function below may be written as men sin(x) + px + qe"x + C. Where m, n, p, q,r and C are constants not equal to zero. cos x – esin(x) + esin(x)+x esin(x) Evaluate m + n+p+q +r. A 5 3 -5 (D -1 B.

Q: Consider the function f(x)=x2+6(5x−10)(x+4)f(x)=x2+6(5x-10)(x+4). For each prompt below, if no…

A: We need to find asymptote and intercepts.

Q: 1. O A. 4 +0+ ヤ+LXA 3 x² 1 O B. (x? + 4) /2 - 4x² + 4 +0 312

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Q: To show that ( n + a ) b = θ ( n b ) ( n + a ) b = θ ( n b ) for any real constants a a and b b…

A: Here we use the binomial expansion:

Q: 2. Which of the following is NOT a root of the function f(x) = (x² - 36)(x+1)(x- 1)? A -6 B -1 C 1 D…

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Q: 5. Let z = and f(z) = 27 ,then simplify f(2) and indicate the real V2 – yi and imaginary part.

A: The given complex number is, z=1-2-yi Rationalize the term,…

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Q: Let n be a positive integer. Define the function fn (2) by d fn (2) = n(2² + Find the value of f(-1…

A: Solution:Given: Let be a positive integer. the function is defined bywe have to find the value of

Q: Differentiate the function f(x) =x*(1– 4x²)³. Express your answer in simplified, factored %3D Torm.

A: We can find the answer as below.

Q: (8,-2) (2,-5) Assuming that f() is of the form A · B*, write an expression for f(x): f(x) =

A: Let the exponential function is: f(x)=A.Bx As the curve is passing through points (8,-2) and (2,…

Q: (2,-4) (0,-6) Assuming that f(x) is of the form A. Ba, write an expression for f(x): f(x) = 0

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Q: Write f(t) = 7e.8t in the form f(t) = Pob' and determine Po and b. (Give exact answers using…

A: given that  f(t) =7e1.8t  = 7(e1.8) t .......... (1)  and f(t) = Pobt............ (2)  Now on…

Q: For f(x)=cosx+sinx, determine all of the values of x for which f(x)=0

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Q: (0,-6) (1,-7) ssuming that f(x) is of the form A. Bº, write an xpression for f(x): (x) = 0

A: Given query is to find indicated function.

Q: Consider the function f(x) = cos(x2 - 2) + 1 on the interval (-3,3). Calculate the two x-intercepts…

A: f(x)=cos(x2-2)+10=cos(x2-2)+1cos(x2-2)=-1 As we already know, the solution to the trigonometric…

Q: let f(x)= 5/x +-8/4x+1. Determine the values of x for which f(x) = -2

A: Given that f(x)=-2  We plug this and find x

Q: Use the formula to express h as a function of x if h = 3y-2/4y and y= x-4

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Q: f is a function of x. Starting with a real number x, perform these 4 steps in order. 1. multiply by…

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Q: Let f (-1) = 7 and f (2) = 112. Enter the exact answers. (a) Find a possible formula forf if f is…

A: Given f(-1)=7/4 and f(2)=112 (a) Let f be a linear function defined by f(x)=ax+b By using the given…