Find an equation of the tangent line to the graph of the function f(x) = 2x² - 4x +5 at the point (2,6). Write your answer in the form y = mx + b.

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. X-6 3x-7 f(x) =…

A:

Q: Find the derivative of f(x) = = 4√√x + 2 x7 . Type your answer without fractional or negative…

A:

Q: Evaluate and show all necessary solutions. 1.S cosxsin²x V1+sinx √25-4x² 2. S 3. S 4. fxcosxsinxdx…

A:

Q: Find the work done by a person weighing 175 pounds walking exactly one revolution up a circular…

A:

Q: The function f(x) = 2x³ − 33x² + 60x + 8 has derivative f'(x) = 6x² f(x) has one local minimum and…

A: Explanation of the answer is as follows

Q: Find y' and the slope of the tangent line to the graph of (3x - 5y)5 = 2y2-9 at the point (3,2).…

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the given…

Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

A: We have to test the series

Q: Find the area enclosed by the given parametric curve and the y-axis. sin²(t), y = 8 cos(t) X = y 0.2…

A:

Q: Evaluate the line integral along the given path. S ² + y² + 2²) ds C: r(t) = sin(t)i + cos(t)j + 7k…

A:

Q: Find the vertical asymptotes (if any) of the graph of the function. (Use n as an arbitrary integer…

A:

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

A: NOTE: Refresh your page if you can't see any equations. . Rolle's theorem is  If a function f is…

Q: Find the constant a such that the function is continuous on the entire real line. 2sin x a 11 g(x):…

A:

Q: (2x - y)dx(x + 4y)dy = 0

A: As per the rules, we can answer only the first question and other can be reposted.

Q: please solve d-f now. thanks.

A: We have to find the composition of functions.

Q: 6. Evaluate 1 x² + y² + x² dV, where E = { (®,g, z) |1< n? +g? +z? <4}.

A:

Q: Find a vector-valued function whose graph is the indicated surface. The plane z = 4y r(u, v) =

A: Solution ) the plane      z = 4y   Let's make substitution  x =u , y = v  Hence  z = 4v   r ( u, v)…

Q: Consider the following function and its graph. f(x): X x² + (b) Use the graph to determine the limit…

A:

Q: Evaluate the limit. Select the correct answer below: O + O-3 03 0-1/3/2 0 1/1/012 The limit does not…

A: Given, limx→3x+1x2-2x-3

Q: What is the integral that represents the length of the curve from x = 2 to x = 4. Select one: 0 ₂²…

A:

Q: Find y' and the slope of the tangent line to the graph of (2x - 5y)7 = 3y2 -2 at the point (3,1).…

A: The used formulas are

Q: Use LaGrange multipliers to find the minimum distance between the origin and the plane x+2y+3z=28.

A:

Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula…

A: Given, S(t)=60t2t2+150

Q: owing chart shows the (approximate) total number of subprime home mortgages in a state in November…

A: Please refer to the image below

Q: Solve sec(4x) - 9 = 0 for the four smallest positive solutions - x= Give your answers accurate to at…

A:

Q: Without using a calculator, for the following, find the length of the curve over the given interval:…

A:

Q: Solving Differential Equation by Laplace Transform Solve the following initial value problems using…

A:

Q: Find g'(3) given that f(3) = -4 and f'(3) = 2. g(x) = 3x² - 5f(x) g'(3) = i eTextbook and Media 2x +…

A: Given :f3=-4f'3=2gx=3x2-5fxgx=2x+1fx

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. -108 J-72 yz dx dz dy =

A:

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) -8 (a) lim f(x) =…

A: To find out the limits.

Q: Question 18 A curve has a slope of 2x and passes through (1,4). Find the area bounded by this curve…

A:

Q: ƒ(x) = [x] + [−x] teger function [x] is defined by the largest integer that is less es of a does lim…

A:

Q: If the average value of the function f(x) on [0, 3] is equal to 3 1 3/² 0 what is Select one: 0 6 O…

A:

Q: b) [ bounded 1: Find the volume of the solid obtained by rotating the region by the curve about the…

A: Graph:

Q: One type of strontium has a radioactive decay rate of 1.4% per day. If 30 pounds of this strontium…

A:

Q: 2. Let f(x) = nx² - 2x + 5 and g(x) = 6x² - 5x + m. The functions are combined to form the new…

A:

Q: Solve the problem. I ) Suppose the demand for a certain item is given by D(p) = -4p2 + 7p+ 5, where…

A:

Q: Describe the Interval(s) on which the function is continuous. (Enter your answer using interval…

A:

Q: Use the given graph of f(x) to find the intervals on which f'(x) > 0. Q -5-4-3-2 25- 20- 15- 10- 5-…

A:

Q: Find the derivative. 2 f(x) = 4√√8x² +9 f'(x) =

A:

Q: Please, could you explain how do they find the x-limits as functions of y and z? then z-limit as a…

A:

Q: Consider the surface described by Question the equation z² = √е¹-2y. a) Find the equations of the…

A:

Q: Use counting arguments from the preceding chapter. The seven contenders in a horse race at Aqueduct…

A:

Q: Find a vector-valued function whose graph is the indicated surface. The cylinder 9x² + y² = r(u, v)…

A:

Q: (a) an = 5+7n² n+ 3n²

A:

Q: dz Find given: dt Z= xe5y, x = t6, y = - 5+ 6t S dz dt =

A:

Q: The function f(x, y) = 2x³ - 6x + 6xy² has: Select one: O One minimum One maxima and one saddle…

A: Topic:- application of derivatives Note :- as per our guideline if more than one question uploaded…

Q: following

A: Please refer to the image below

Q: Let f(x) = (c + 1)x+ In(cos x). For what value of c is f'(/4)=6

A: This question can be solved using the concepts of differentiation.

Q: Find f'(x). f(x) = (9-3x) 14 f'(x) =

A:

Q: Solve the initial-value problem 1. (D² + 4) v = 12; y(0) = 0 (0) = 2

A: