5. What is the y-intercept of the function f\x)=

Q: 2. Ali is seated on the line which is normal to the curve f(x) = x² - 2x + 4 at the point (1, 3). 3.…

A: As per the company rule, we are supposed to solve the first three sub-parts of a multi-part problem.…

Q: A company has two plants that produce the same lawn mower. If x, and x, are the numbers of units…

A:

Q: 8. Find the maximum and minimum values of f(x) = x+ x - 2 on the interval [- 2, 2]. 9. Find the…

A: Please refer the attached image for complete solution.

Q: 5. Find using first principles the slope of the tangent to f(x) = x² + 6x + 9 at x = -3.

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Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (-1,…

A: Given that f(x)=x2 To find two tangents that passes through (-1,-3)

Q: Bounded by the curve y = (x + 3)², the x axis, and the lines x =-3 and x= 0. %3D

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Q: Find the values of x, y and z that correspond to the critical point of the function f(x, y) = 4x? +…

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Q: Find a point c satisfying the conclusion of the MVT for the given function and interval. y = √x, [9,…

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Q: Suppose the preferences of an individual are represented by a quasilinear utility function: U(x, y)…

A: Suppose the preferences of an individual are represented by a quasilinear utility function: U (x, y)…

Q: The management of Ditton Industries has determined that the daily marginal revenue function…

A:

Q: Solve for the slope of the functions at the points specified using the limit definition of slope of…

A: Consider the function  f(x) = 12x2− 9x + 15 point (−2, 81).

Q: Find the values of x, y and z that correspond to the critical point of the function: f(x, y) = 2a? –…

A:

Q: Find the values of a, y and z that correspond to the critical point of the function: f(z, y) = 42° +…

A: The complete solution is in given below

Q: A) the Y-intercept increases by 30 units for each unit increase in X B) that Y decreases by 30 units…

A: Y = 10 - 30X

Q: Find the values of x, y and z that correspond to the critical point of the function f(x, y) = 4x? –…

A: Given function is fx,y=4x2−7x−6y+2y2 Differentiate fx,y=4x2−7x−6y+2y2 partially with respect to x…

Q: What is the equation of the line normal to f(x) = 5x5 – 2x at x = -1 %3D

A:

Q: Find equations of the two tangent lines to the graph of f(x) = x2 that pass through the point (-1,…

A: Topic - tangent lines to curve passing through Given point outside curve

Q: 2. Estimate the slope of Ix) at the point: a) where x = 3 b) where x = 2 YA fx) 4 3 2 1 2 3 4 5 6 1.

A:

Q: The curve y = a x 2 + b x + c passes through the point ( 1 , 2 ) . The line y = 2 x + 1 is tangent…

A: Given that the curve passes through a point.

Q: 10 Calculate the slope of the secant line through the points on the graph where x = 1 and x = 3.…

A: f'(c) = [f(b) – f(a)]/(b-a).

Q: A line is tangent to y = x - 2 at (2,6). What is the coefficient of x when the line is in the form…

A: Given curve y=x3-2    ;   (2,6)

Q: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces…

A:

Q: 10. The line y = 5x – 5 is tangent to the graph of f (x) = (x + k)(x² – x) at the point where x = 1.…

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Q: 2. Find an equation and sketch the graph of the level curve of the function f (x, y) = 16 – x² - y2…

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Q: /Find the equation of tangent and normal line for the following: 1 f(x)=2x2-7,(2,1) Sol. y=8x-15 ,…

A: Since you haven't mentioned or specify the question we only allowed to answer first three subpart of…

Q: The slope of the tangent line to the graph of the function y = 8Vx – 3 at (9, 21) is %3D 1.33 -2.33…

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Q: 3) Calculate the length of the curve interval [-2₁2]. y = x²/2 on the

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Q: Compute the slope of the secant line containing the points (1, f (1)) and D) on the graph of f (x) =…

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Q: The slope of the tangent line to the graph of the function y = 8Vx – 2 at (4, 14) is 2.00 3.50 -3.50…

A:

Q: Find the minimum values of the function (x, y) = x² + 2y² that lic on the cirele x² + y² =1

A: Given : Function fx,y = x2 + 2y2  Circle x2 + y2 = 1   To find : Minimum values of the given…

Q: 3. If y = 2 x –-1, find the length of the graph of f from point z = 0 to z = 1.

A:

Q: 1. Find the slope of the graph of the function f (x) = v3x + 4 at x = 7. Then find an equation of…

A: equation of tangent line is (y-y1) = slope (x-x1)

Q: 3. Find the slope of the line tangent to f(x) = In(4x² – 3) at (1,1).

A:

Q: the marginal cost function associated with producing x widgets is given by C'(x)= -0.02x+50 where…

A:

Q: Find the point P on the line y=3x that is closest to the point (40,0). What is the least distance…

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Q: What function should be used to minimize the distance between y = x + 5 and the point (3, 1)? O D(æ)…

A: Explanation of the solution is given below...

Q: Find equations of the two tangent lines to the graph of f(x) = x2 that pass through the point (-1,…

A:

Q: The slope of the tangent line to the graph of the function y = 8Vx - 2 at (4, 14) is . O-3.50 O2…

A: We will find the derivative of the function y and evaluate it at x = 4 to find the slope of the…

Q: Find the length of the curve between the specified interval: 3/2 a. y = x7² from x = 1 to x = 4 b. y…

A: (a) Given curve: y=x32 Interval x=1 to x=4 The length of the curve is given by the formula:…

Q: What is the equation of the curve that passes through the point (0, 3) and has a slope at any point…

A: We have to find

Q: (1, if x 2 %3D plot

A: f(x)=1, ifx<01-x2if 0≤x≤2x+1if x>2

Q: 5. Find the local extreme values of f(x, y) = x²y on the line a +y = 3.

A:

Q: Find the point where the minimum value of f(x, y) = xy subject to y = 90 – x occurs.

A: Find the point where the function f(x,y)=xy subject to y=90-x2 attains its minimum value.

Q: Show that the line y = -10x + 20 is tangent to the curve y = x4 – 4x^3 – 5x^2 + 26x – 16.

A:

Q: A company has a marginal revenue function, R'(q) = -4q + 40 where q is the quantity of products…

A:

Q: What is equation of the line normal to graph of y = x^3 + 3x^2 + 7x - 1 at the point where x = -1? O…

A: Solving the problem by finding the normal of the given equation.

Q: 2. Estimate the slope of ffx) at the point: a) where x = 3 b) where x = 2 f(x) 4 2 1 2 3 4 5 6 3. 1.

A:

Q: Suppose that for a company manufacturing bluetooth and wireless neadsets, the cost and revenue…

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Q: Estimate the slope of the graph at x=0. AY 5- 4 2- -109 6 54 19 2345 6 7 8 9 10 -2 -4 -5- -2 O 1 O 2…

A: Given: The graph is To determine: The slope of the graph at x=0.

Q: Given the function y = 8e-²x² + 7 sec² 5x – 4 ln x³, find y'. Solution: y' = 4(3)x² x³3 +8(−4x)e-²x²…

A: We will find the y' of the given function in the following step.