The function f whose tangent has slope x3. +2 for each value of x and whose graph passes through the point (1, 3) is f(x) 1 -x4 + M -+2x+ C , what is M and C? %3D 4 M= C=

Q: ) Find a function ƒ such that f'(x)= x³ +3 and such that the line y+5x O is tangent to the graph of…

A: Given, f'(x) = x3+3  and the line  y +5x =0 is tangent to the graph of f   Let's assume the function…

Q: This function has: 1) A y intercept at the point 2) x intercepts at the point(s)

A: Given,  fx=2x2+11x+123x2+10x+3 The x-intercept, y-intercept, and vertical asymptotes are to be…

Q: Find a function f that has the derivative f '(x) and whose graph passes through the given point.…

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Q: What are the values f(4) and f 0 (4)

A: Given Data: Graph: y=fx Point 1: Ax1, y1=A4, 3 Point 2: Bx2, y2=B0, 2   The value of f4 will be…

Q: (c) F{-h(x+ 1) + 2h(x) – h(x – 1)}, where h(x) is the unit step function defined on page 235 of the…

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Q: Find the length of the graph of the function y = ln (1 - x2), 0 ≤ x ≤ 1/2.

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Q: Find the equation of the line tangent to the graph of the indicated composite function at the…

A: Since there are multiple questions posted, we will answer the first question 13. Ir you want the…

Q: Q1/a- Write an equation of the Line that passes through point: P1 (-2,0), P:(2,-2)? b- find any locl…

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Q: Find the point on the graph of the function that is closest to the given point. Function Point f(x)…

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Q: The tangent to the function, f(x) = -2x² + 3 at the point (-1, 1) is the hypotenuse of right…

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Q: Find the the stationary points and the local extreme values of the function f(x, y) = −2x/x2 + y2+1

A: The objective is to find the stationary points and the local extreme values for the function…

Q: The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by x = (114 -…

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Q: The graph of f(x) passes through the point (-1,4), The slope of the line tangent to the graph at the…

A: The slope of the tangent of the function at a point is given by the derivative of the function at…

Q: The slope of the line tangent to the graph of f(x) = 12 – 2x? at the point x = -9 4 9.

A: Solution

Q: The function f is defined by f(x) = \25 – x² for -5 sx 5. (a) Find f'(x). (b) Write an equation for…

A: Given: fx=25-x2; x∈-5,5 we know that for finding derivative of given function, we differentiate…

Q: The graph of the function y = f(x) passes through the point (-1, 1) and the line tangent to the…

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Q: Does the given equation define an implicit function around the point (y=3, x=1) and why?

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Q: Determine the point(s) at which the graph of -8x f(x) 2x - 1 has a horizontal tangent. (x, y) = Need…

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Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = Inx?;…

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Q: 10. Find a function y = ax +bx+c whose graph has an x-intercept of 1, a y-intercept of -2, and a…

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

Q: Find k such that the line is tangent to the graph of the function  Function: f(x)=k square root x…

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Q: Find the slope of the graph of y = f(x) at the designated point. %3D f(x) = 2x - 7x +5; (3,2) The…

A: To find the slope of graph of y = f(x) at (3,2)

Q: The slope of the line tangent to the graph of f(x) = 19 – 4x² at the point x = -9 18 8 O 152 72 144

A: Given that: f(x)=19-4x2

Q: Use the given graph of the function to answer the question. 2, X. -7 -6 -4 -3 -2 -1 1 2 3 4 -D1 -2…

A: Consider the graph of a function

Q: Find the function whose tangent line has the slope 3x² + 1 for each value of x and whose graph…

A: We have to find the function whose tangent line has the slope 3x2+1 for each value of x and whose…

Q: 2. For what values of x does the graph of f(x) = x³ + 3x² + x + 3 have a horizontal tangent line.

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Q: At which value of x for the function whose graph is shown below differentiable? -4 VO 8 10 12 14…

A: From the given graph, we have to find the points at which the function is differentiable

Q: Let f=3x^2+2 and find the values below 1) f(x+h) 2) (f(x+h)-f(x)) 3) lim h→0 (f(x+h)−f(x))/h 4) Find…

A: The given function is f(x)=3x^2+2.

Q: For what value(s) of x does the graph of f(x)=10x^3 − 90x^2 + 240x +90 have a horizontal tangent?…

A: To find the slope of the tangent we find f'(x)

Q: Find k such that the line is tangent to the graph of the function. Function= f(x) = k square root x…

A: Find k such that the line is tangent to the graph of the function. Function= f(x) = k square root…

Q: The derivative of f is xʻ(x-2Xx+3). At how many points will the graph of ƒ have a relative maximum?…

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Q: Suppose g(-2)=3 and g'(-2)=-4. Let f(x) = x3 + g(x). Find the equation of the line tangent to y =…

A: Given,     f(x)=x3+g(x)

Q: O For what value of x does the function f (x) = 4x2 – x +1 have a horizontal tangent?

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Q: Find the function whose tangent line has the slope 3x² + 1 for each value of x and whose graph…

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Q: B4: a) Find and classify all critical points of the function f(x) = x³ + 3x? – 12x + 5 b) Determine…

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Q: 2 The linear approximation for the function f(x) = be used to estimate f(0.01). Which of the…

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Q: Find the slope of the line tangent to the graph of f(x) = -1₂ at x = 3. x+2 Provide your answer…

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Q: The graph of f(x) and a line tangent to the curve at x = 4 are shown. If g(x) = V f(x), evaluate…

A: To find: The value of g'(4) if g(x)=f(x). Concept used: Chain rule: f(g(x)=f'(x)g'(x)

Q: What is the equation for a linear function with a vertical stretch/compression by 2/5. BE SURE TO…

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

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Q: given y=f(x) and the function is linear, use this change equation to solve the problem. Given that…

A: We have to use the given differential equation.

Q: 8. Given the function f(x)%=2x3 -5x3 , find the point where the tangent is horizontal to the curve.

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Q: Suppose that f(x)=-7x2 + 8 (A) Find the slope of the line tangent to f(x) at x=2 (B) Find the…

A: To determine the following for the function f(x) = -7x2 + 8:Part a) Slope of tangent at x = 2.Part…

Q: Find the point on the graph of f(x) = Vx that is closest to the point (6, 0). (x, y) = %3D

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Q: The graph of f (x) = ax+b x²+3x-8 has horizontal tangent at (2, -1). Determine the values of a and…

A: Given query is to find the value of a and b.

Q: 6. Find the values of x for which the line tangent to the graph of f (x) = 4x2 – 3x + 2 has a…

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Q: 8. The y-intercept is -4. The function has no x--00, f(x) → -0∞, x-intercepts. As x→ 0, f(x) → -∞…

A: 8.  The y-intercept is -4.   The function has no x-intercepts.  As x→∞, f(x)→-∞ and as x→-∞, f(x)→-∞

Q: This extreme value problem has a extreme values of the function sub f(x, y) = 4x + 8y, x2 maximum…

A: Method of Lagrange's multiplier: The Lagrange multiplier method is a straightforward and elegant way…

Q: 3 Given the function f(x) = 2a2 – a + 2, find the points where the tangent line has slope – 4| 2 а)…

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