K 1 1 If g'(7) = 5 and h'(7) = 15, find f (7) for f(x) = g(x)+h(x). =(Simplify your answer.) f'(7)=

Q: A guitar factory has a cost of production C(z)-90z+ 47500 if the company needs to break even after…

A:

Q: Let lim g(x) = -10 and lim h(x) = 6 x 4 x→4 Determine the value of the limit lim [9+√√xh(x)]

A: Let limx→4 gx=-10 and limx→4 hx=6 To determine the value of the following limit. limx→49+x·hx

Q: -5 -4 -3 -2 -1 5- 4 3 2 1 -2 -3 * 2 3 4 5 Use the graph of f(x) above to estimate the value of f'(0)…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: ving integrais using x² +1 a) √x³+2x²+x x³ b) S x3+x²-x-1 x8 c) √(x+2)²(x-2)²

A:

Q: Due to changes in the environment the fraction of the population in Artemis (fictional) with…

A: see below the answer and calculation

Q: Let f(x) = [2x +9 if x 2 Determine whether f(x) is continuous at x = 2. If f(x) is not continuous,…

A: Given query is to find function is continuous at x = 2 or not.

Q: Find all solutions of each equation on the interval [0, 2π). sec² x + tan x = 1

A: sec2x+tanx=1  in [0,2π)formula used  1+tan2x=sec2x

Q: 2y(y2 - x)dy = dx

A: Given data :    2y(y2 - x) dy = dx

Q: (ii) Use the result of part (i) to evaluate lim x-2 (Hint: It's a one line solution using part (i).)…

A:

Q: 0 a y = f(x) R b r

A:

Q: Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total…

A:

Q: t continuous: * = t differentiable: * = ter none if there are no x-values that apply; enter x-values…

A: Given query is to find the value of x where function is not continuous and differentiable.

Q: The solution set to |x-1|>|2x+1| is None of the above (-2,0) (-∞,0) (-2,00) (-∞, -2) U (0, ∞)

A:

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral…

A:

Q: 1. Consider the graph of f(x) given below: -10-8-6 -4 (a) Find the following: i. lim f(x) ONE ii.…

A: Topic = Function

Q: Find the derivative of the function f(x) = 4x−³+ x² + 14. ƒ'(x) = ->

A:

Q: The displacement (in meters) of a particle moving in a straight line is given by the equation of…

A:

Q: lim x → 2 2 x²+x-6 x-2

A: Factorize the numerator and cancell the common factor.

Q: farmer has 1000 feet of fence and wishes to enclose a rectangular plot of land. The land borders a…

A: Given query is to find the length of the side for maximum area.

Q: Evaluate the integral. π/6 π/6 Ï -π/6 -π/6 [(6 sin t)i + (6 + 5 cos t)j + ( sec² t) k] dt = 13.2.3…

A: A=∫-π6π6 (6sint)i+(6+5cost)j+(sec2t)kdtwe know  ∫sintdt=-cost+c∫costdt=sint+c∫sec2tdt=tant+c

Q: 4. Let f(x) = Ax² + B√x. Find A, B such that the following two statements are true: = 0 to x = 4 is…

A:

Q: Find the following derivatives: a) y = In (2x + 2) b) y = 1+int 1-Int

A: we need to find the derivative

Q: It is estimated that t years from now the population of a city will be P(t) = 30(35+41)² - 1700t.…

A: We need to find the population in 5 years

Q: Is there a function f such that limx→1 f(x) = 0 and limx→1 f(x) (x-1)³ = -∞?

A: To find:- A function f such that limx→1fx=0 and limx→1 fxx-13=-∞

Q: Consider the parabola y = 5x - x². (a) Find the slope of the tangent line to the parabola at the…

A:

Q: 21. If f(x) = 3x² – x³, find ƒ' (1) and use it to find an equation of the tangent line to the curve…

A:

Q: could you clarify part a please ? is that a g? or a 9? what is part a answer??

A: Given that f(x)=x2-5x-14x-7we have to find limx→7f(x)

Q: Learning Target DC1: I can compute derivatives correctly for power and polynomial functions, and…

A:

Q: When we do trig substitution there is always a restriction on the new variable, 8, that is…

A: The required Option is "C" The trig functions used are only defined on the region specified.

Q: Using the RN approximation, express the area under the graph f(x) = 8 sin(x) over [0, 5] as a limit.…

A:

Q: Given that f(3) = 2 and (f(3+h) - 2)/h = eh - 2   what is the derivative of f(x) at x = 3?

A:

Q: A lab rat is escaping, and its position is given by f(t).  Once f(t) is greater than or equal to 5…

A:

Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of…

A:

Q: The graph of y = f(x) is shown. Use the graph to answer the question. Is f continuous at x = -3? Ay…

A: Here is the solution:

Q: For the function, find the point(s) on the graph at which the tangent line has slope 5. y = -0.025x²…

A:

Q: Suppose that Find f'(x). f'(x) = = f(x+h)-f(x) = 6hx - 4h +8h².

A:

Q: The point :P(1, ¹) lies on the curve y = x/(1 + x).

A:

Q: Assuming that a 0 and 3 0, then the solution of the system ax-28y = 2 3x + ay = 3 is ... O O O ...20…

A: we need to find the solution of these system of equations.

Q: Find the radius of curvature of the curve of x^3 + xy^2 - 6y^2 = 0 at point (3,3).

A:

Q: A geometric series has first term a and common ratio r where r>1. The sum of the first n terms of…

A: Given: The first term of a geometric series is a and the common ratio is r where r>1. The sum of…

Q: 5. Let f(x) = 3x - x² x²-9 (a) Find all horizontal asymptotes of y = f(x) (or explain why there are…

A: The function has one horizontal asymptotes and two vertical asymptotes

Q: QUESTION 17 Solve the inequality. Write the solution set using interval notation and graph it.…

A: Given query is to find the solution of the inequality.

Q: Find the critical points of the function f(x, y) = x + y - 196xy Answer: Starting with the point…

A: we have to find out the critical points and local minimum, local maximum and saddle points.

Q: Given y = f(u) and u = g(x), find dy dx y = tan u, u = 11x +4 = f'(g(x))g'(x) = dy - = f'(g(x))g'(x)…

A: Given: Also, So,            dydx=ddutan(u)ddxu       =ddutan(u)ddx11x+4       =sec2u  (11)…

Q: 1. Given a function f(x) = (x² - 4)², discuss its relative extrema points, the intervals where it is…

A:

Q: 7x-7 m 1- 1-r im |7x-71 1+ 1-x Question Help: Message instructor D Post to forum Submit Question Q…

A: We will find the required.

Q: Evaluate the definite integral ²¹ (1029-23) dr

A:

Q: Let ƒ(x) = 4x + 3x². Compute the difference quotient f(x + h) − f(x) h and simplify it so that it…

A: Here we have to find the value of 'c'.

Q: Find the mass of the thin bar with the given density function. π 3π p(x) = 1 + sin x; for sxs. 4 The…

A: Answer: The solution is given below:

Q: Most fish can adjust to a change in the water temperature of up to 18 degrees Fahrenheit if the…

A: Introduction: An absolute value inequality is an inequality that has an absolute value sign with a…