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Q: Differentiate: f(x) = e* +3* + In(4) A f)=e*+3in(3) +- f(x)= e+3 n(3) © fx)= e* +3* f(x) = e* +3* +=…

A: fx=ex+3x+ln4

Q: f(x) = 3x + 21, -3<x<0

A:

Q: how that x³ + 2x = -1 has a solution in an interval of length. You may find s helpful to complete…

A:

Q: find a so that the point (-1,4) is on the grapn of f(x) = ax² + 2

A:

Q: Find the domain and scope of the function f (x, y) = √ (16-4x ^ 2-y ^ 2). Graphically and…

A:

Q: 7. Differentiate f(x) = (3x + x)² in three ways. When you have completed all three parts, show that…

A: Given that, fx=3x+x2

Q: Compute the number of units x that determine the maximum profi

A: Given that: Cost function , C(x)=30x+100Revenue function, R(x)=-x2+90x

Q: Consider a pizzeria that sell pizzas for a revenue of R(x) = ax and total cost of C'(x) = b + cx +…

A: Given R(x)=ax ,C(x)=b+c x+d x2 a. profit P(x)=R(x)-C(x)                   =ax-b-cx-dx2 b. P'(x)=…

Q: Find two nontrivial functions f(x) and g(x) so f(g(x)) = (x + 6)3 f(x) =| g(x) =

A: We have to find the function

Q: Differentiate. 4) f(x) = e2x

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 4. y = (4t2 - t)(t³ – 8t² + 12) 5. h(z) = (1+ 2z + 3z?)(5z + 8z² – z³) %3D - %3D

A: To differentiate the following functions.4 y=4t2-tt3-8t2+125 hz=1+2z+3z25z+8z2-z3

Q: Given that f (x) x+ ax + bx has critical numbers at x=1 and X3D3, find a and b.

A: Give equation Also given, equation (1) has critical points at x=1 and x=3.

Q: Find the linear approximation of f(x)=√x when x = 81. 1 108 O L(x)=3+ -(x-81) OL(x)=81+ 1 108…

A: We have given function  fx=x4 Put x=81 f81=814=344=3 Linear approximation at x=a is given as…

Q: Find two positive numbers satisfying the given requirements. The product is 192 and the sum of the…

A: Given: To find two numbers such that, the product of two numbers 192 and sum of the first plus three…

Q: Which of these functions has a y-intercept of (0,9) ○ A) ƒ(x) = 9x² + 4x + 2 B) f(x) = 9(x-3) (x +…

A:

Q: Solve for f(x)+g(x) f(x)-g(x)   f(x)= 3x + 2, g(x)= 2x + 5   SHOW STEPS****

A: Given that the function: fx=3x+2  ,  gx=2x+5

Q: Let f(x) = x3 + 5. Explain why f(x) is invertible, then show all steps in the derivation of a…

A: Invertible function and it's inverse.

Q: I+1 The maximum value of f(x) = on the closed interval -4, 4] is 748

A: Given,fx=x+1x2+8differentiating both the sides with respect to…

Q: 3. f(x) = x² +2 and g(x)= 2x³

A:

Q: Let f(x) = 6x/x2+3. How do I solve if this is even, odd, or neither?

A: Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f. Algebraically, f…

Q: (a) Develop a first-order method for approximating f" (x) which uses the data f(1 - 5h), f (z – 3h),…

A: Please check step 2 for the solution.!

Q: 2. If f"(x) = 4sinx+16cosx, f(0) = 6, f'(0) = 1, find f(x) and f(4).

A:

Q: Determine the type of functions from R to R with necessary figure. i) f(x) = 5x + 7 ii) f(x) = (x² +…

A: (i) fx=5x+7 This function is state line and has roots is x=-75

Q: 1. Differentiate y = √e(72²-2) (a) by using the chain rule directly with functions f(x) = VI and…

A: Given, y=e7x2-23

Q: evaluate x2 -(xy-y) for x satisfying x/9 -7 = x/2 and satisfying -3y -5=4y+23

A: See the details solution in below

Q: Explain the step by step process to get the final answer Problem #2: Differentiate f(x) = [(3x* –…

A: