Let f be a differentiable function such that f(4) = 3 and f'(x) = -3x + 3. What is the approximation for f(4.2) found by using the line tangent to the graph of f at x = 4?

Q: 茂 cos x dx = 0 COS Select one: O True O False

A: This question is related to definite integration, we will solve it using given information. 

Q: 4 dx J (3+12x?)arctan 2x

A:

Q: Differentiate f(x) = arcsin(3x). Use exact values. %3D f'(x) =

A: Solution is written in below steps.

Q: A 5 m pole, Teaning against a wall slips in such a way that its base is vedin HOVing away from the w...

A: Draw the diagram and use the Pythagoras theoram and concept of rate of change. 

Q: Find the least amount of different numbers to pick from positive integers that are at most 100 to gu...

A:

Q: fip given the equation a+y = e. dz Use implicit differentiation to determine dy da > Next Question

A: Given query is to find the derivative of the expression.

Q: To evaluate the integral V-x² + 9 xp- which of the following substitution should be used? Select one...

A: ∫-x2+9xdx

Q: A drug manufacturer has developed a time-release capsule with the number of milligrams of the drug i...

A: topic - average of Function over interval

Q: Find the value of a so that the function f(x) = xe has a critical %3D point at x = =D3. NOTE: Enter ...

A:

Q: For the function, find any horizontal and vertical asymptotes. (Enter your answers as a comma-separa...

A: To find out the vertical and horizontal asymptote. 

Q: Given the triangle below, find cot(0). Enter an exact answer in fraction form. 24 25 Provide your an...

A: Topic:- trigonometry ratios

Q: В 43° a A 9 The figure above shows a right triangle with dimensions in centimeters. Find the side le...

A: The objective is to find the side length c to the nearest centimetre.

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley ...

A:

Q: IV. Determine whether the given series is convergent or divergent. Justify your answers (a) E (c) E(...

A:

Q: Polyno (-x6+ x5+7x2 -9) / (x4)

A: Devide each term

Q: Given the triangle below, find sec(0). Enter an exact answer in fraction form.

A:

Q: Solve the initial-value problem by using integrating factors. y' = y + 8xex, y(0) = 8 y(x) =

A:

Q: Evaluate the integral /4- x2 dx. x2

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

Q: A particle moves along the x-axis so that at time t >0 its position is given by x (t) =t² – 10t + 10...

A:

Q: The graph shows the contour map of seawater density p (S,T) (kilograms per cubic meter) as a functio...

A: Calculate the temperature and density at point A and B then take the average change. 

Q: If f(x) = 10e" + x°, find f'(x). > Next Question

A:

Q: Market resear ice cream company price per cup of ice cream is P50.00, the demand will be 1200 cups, ...

A: Solution is here

Q: Let f(x) = In(x²) f'(x) = f'(e*) = > Next Question

A:

Q: Differentiate f(y) = 8-3y+5 f'(y) > Next Ouertion

A:

Q: Find the equation of the surface of revolution generated by rotating the hyperbola x^2 - y ^2=1 , ar...

A: \ Revolution of the hyperbola about its transverse axis generates a surface of two sheets, two sepa...

Q: A. Logarithmic and Exponential Functions 1. y = log 2. t= In tan (; +) 3. y = In (e²x²)

A:

Q: Use differentials to estimate the amount of material in a closed cylindrical can that is 10 cm high ...

A:

Q: Properties of Inverse Matrices If A is an invertible matrix, k is a positive integer, and c is a non...

A: we will use the property,  (AB)T = BT AT   and  AA-1 = I   

Q: 4. f(x) = a = 0 x2-4x %3D x2+4x x?-3,xミ-1 5. f(x) = {x- 1, x>-1 こa=-1 %3D

A:

Q: Write True if the statement is true. If the statement is false, explain briefly why it is so. (a) If...

A: Statements are given, we have to find it is true or false

Q: Evaluate the expression gP6 8P 9.

A:  Question: Evaluate the expression 8P6

Q: +oo 4 Determine if the series > converges or diverges. If it converges, find its sum. n² + 4n + 3 n=...

A: We will solve this question using limit of comparison test.

Q: 3. s varies directly as r and inversely as square of difference of q to t. If s-12 when r-10, q=5 an...

A: s varies directly as r and inversely as square of difference of q and t. If s=12 when r=10, q=5 and ...

Q: Find the area of the surface obtained by rotating the curve y = 5x° from æ = 0 to æ = 9 about the x-...

A:

Q: Evaluate: I|(3x2 +9y2)dxdy. Use inner limits 0 to y and the outer limits 0 to 2. О а. 35 O b.30 C. 4...

A:

Q: 1. The time required for a group of men to complete a certain job is inversely proportional to the n...

A: These questions are related to proportionality equations, we will solve them using given information...

Q: IV. Find the equation of a line passing through (-1,4) and perpendicular to the line x+5y-4=0. V. Fi...

A:

Q: C. Apply the chain rule to find the derivative 1. y = (8 - 3x )3 3. y = (1-x)7 2. y = V2x + 1

A:

Q: Let f(x) = 9 cos(cos x) f'(x) =

A:

Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal tange...

A: We have to find the values of x for which f(x) has horizontal tangent.

Q: Which of the following integrals represents the area of the surface obtained by rotating the curve y...

A: NOTE: Refresh your page if you can't see any equations. . take derivative the given interval is ...

Q: Calculate the arc length of y = 8x + 1 over the interval (0, 10].

A:

Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular...

A:

Q: (-1)"+l2nx" Determine the interval of convergence of2. n² +3 n=1

A:

Q: Question Select your answer. What is the equation of the tangent line to the function 1 y = 2 1 I + ...

A: slop, and tangent line

Q: Specify the unit vector extending from origin toward the point G(2,-2,-1). Graph a vector V in the s...

A:

Q: Given the following multiplication problem Equation 1: - 24V,=-8V2 -24 8 gives us equations -2 Equat...

A: From the matrix, we have the eigenvalues as  λ1=-26λ2=0 When, λ1=-26 the eigenvector is μ1=-41

Q: 6. Use the sum and difference identities to simplify the expression. '5T COS 12

A:

Q: Determine Increasing/Decreasing and Concavity Mar 20, 9:26:08 PM Watch help video Given the function...

A:

Q: 4. Find the constant a so that e +y = I-l is an implicit solution to e %3D tay O 5/2 О 32

A: