let lection 29. Determine the equation of the radical function that has a starting point (1,3) and passes tign2 in the 11 axisi tronglatio through the point (-3,5).

Q: Write the equation of the tangent line to the graph of y= 8x^4-7x-1/3-x^2 at x=1 check the…

A: First we find out first derivative at x=1 which is slope of tangent line.then we use equation of the…

Q: Use the chain rule to find the derivative of 12 3(-10x + 8x") You do not need to expand out your…

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Q: Determine the equation of the cubic function that has roots at -3, -5, and 3 and passes through the…

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Q: Please show step-by-step solution!

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Q: Find the equation of the tangent line to the graph of f(x) = -2(3x – 1)³ at . Show work or explain…

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Q: find the derivative y=-5sin(6x^4)

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Q: Plot the zeros of each polynomial on a line together with thezeros of its first derivative. y = x2 -…

A: Given  The polynomial is  y = x2 - 4

Q: Use the product rule to find the derivative. f(x) = -2xex? %3D Please show all steps

A: To find the derivative of given function.

Q: find the slope of the tangent line f(x)=9x-2x^2 at(-3,-45)

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: Find the equation of the tan gent line to the graph of the equation f(x) = 5x - 8x +12, at the point…

A: Here we are going to solve only one question and for the remaining question post the question again.…

Q: The reciprocal function decreases on ______________

A: Answer: The reciprocal function function decreases on negative infinity

Q: Let Ax) = 8x_+ 3x² – x + 1_. a. Determine f (x). b. Use 13a to find the equation of the tangent line…

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Q: Find the point on the line y = x that is closest to the point (5, 7). [Hint: Express the distance d…

A: NOTE: Refresh your page if you can't see any equations. . the given line is  so any point on the…

Q: 14. Use the curve sketching procedure to analyze the function. а. у-х*+x*-20х

A: since you have asked multiple questions in single request so we will be answering only first…

Q: Find the equation of the tangent line to the graph of f(x)=-3x2-5 at the point (2,-17). Write your…

A: Given function    f(x) = -3x2-5Differentiating ,  f'(x) = ddx(-3x2-5)…

Q: Find an equation of the tangent line to the graph of the equation 6x - 5x8y7 = 36e6y at the point…

A: In this question, we will compute the equation of the tangent line of the given curve.

Q: Find the tangent line to f(x) = , when x = 1. Give your answer in fully 2-x simplified slope…

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Q: (8 points) Find the slope of the line tangent to the graph of 1 f (x) = 2x* – 32x + 17x2 – 9x + 4 at…

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Q: Let fx) = 4x2 - 2x. (a) Use the definition of derivative and the procedure given in this section to…

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

A: Given query is to find the the function. The derivate is -2x8-x2 Integrate the derivate to obtain…

Q: 2-7 4=10910

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Q: If tanx   =12/13 , find the values of the other hyperbolic functionsat  x.

A: tanhx=1213 By using the identity sech2x+tanh2x=1, we get…

Q: Find the derivative of the function. Provide the solution in factored form. f(x) = 2x(x³ – 2)6 %3D

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Q: x +81 = 0

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Q: Ax) = (2r' + 5)"

A: The function is given as f(x)=(2x3+5)7   …(1) We have to find the derivative of the function (1).…

Q: The slope of the tangent line to the graph of the function y = 7Vx – 3 at (9, 18) is - O 3 - 2.00 O…

A: Simply take the derivative of the function at that point.

Q: The polvnomial parent function given has been transformed. Write the equation of the new image.

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Q: Which point on the graph of y = radical x is closest to the point (7, 0)?

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Q: - Find the point of tangency and the equation of the tangent line passing through the point p(-4,-2)…

A: Given: Now, f'(x)=-3-2x. At (-4, -2), slope = -3-2(-4) = 5. So, the equation of the tangent line is…

Q: Find the equation of th line perpendicular to the line 3y=2-4x and passing through the point (4,7)

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Q: Find the slope of a line that is tanget to f(x)= 1/x at the point (2,1/2).

A: Given:

Q: Differentiate and simplify: f(x) = arcsin ( 2x / x2 + 1 )

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Q: The slope of the tangent line to the parabola y = 3x + 3 + 4 at the point (5, 94) is: 33 The…

A: Equation of parabola y=3x2+3x+4 The slope of the parabola at any point is calculated as  dydx=6x+3…

Q: You have 1200 feet of fencing to enclose a rectangular region and subdivide it into three smaller…

A: Let  x and y be length and breadth of rectangular region respectively. Given data, Perimeter of…

Q: Determine the equation of the radical function represented by the graph. +

A: The given graph as

Q: 2. Use the derivative rules to differentiate the function. Simplify fully, Write final answers with…

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Q: Find the equation of the line that is tanget to f(x)= sqrt(x+1) at the point (8,3).

A: The given function is

Q: lue of x, if the g 5 10 is singula

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Q: Find the equation of the line tangent to the graph of f(x) = x² + = - 9 at x = 7. y = help…

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Q: Find the slope of a line that is tanget to f(x)= sqrt(x+1) at the point (8,3).

A: Given: The slope of the line at point (8,3) is given by

Q: Find the directions in which the function increases and decreases most rapidly at Po-

A: Given, fx,y,z=4lnxy+lnyz+lnxz, P01,1,1 Direction in which function f increases is given by, u^=∇f∇f,…

Q: Use the chain rule to find the derivative of 3(– 82° – 2=")" - You do not need to expand out your…

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Q: d) f(x) = (2r – 3)*(5x² + 2)'

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Q: find the derivative 4)=(+2-3++|(A-5+-7) (+ー3ナャ)(+3ー5t +プ) %3D

A: First expand the product of polynomial as a single polynomial from that we can easily differentiate…

Q: 2а3x at (a, a) ,2 x2+a²

A: Given curve is,

Q: If a rocket travels according to the function s = 5t3 after takeoff (where s is in %3D meters), then…

A: Velocity is obtained by differentiating S

Q: 3 1. 15. f(x) = 4 *+ %3D 4

A: Given,f(x)=14x+34

Q: Use the product rule to find the derivative. y = (4x2 + 5)(3x - 5) y'= %3D

A: Given:-y=(4x2+5)(3x-5)To find: derivative by using product rulesolution:product rule:…

Q: Explain how the false position method is used to locate the root of a function

A: