↓ m ea -1 1 2 3 S The function graphed above has: Positive derivative on the interval(s) Negative derivative on the interval(s)

Q: 3 39. y = ln((In x))³

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Q: Find the most general anti-derivative of the function f(x) = 8 cos(x) 5 sin(x).

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Q: Find the integration factor of (3 xy +64²) dx + (2x²gxy) dy zo

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Q: A B C D 2/3 43 Let R be the region in the first quadrant bounded by the graphs of x = y² and x = 2y,…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 2x³6x² -…

A: f(x)=2x3-6x2-18x+8we know (i)  d dx(xn)=nxn-1(ii)  d dx(constant)=0

Q: 3. By changing the order of integration, evaluate •ffer² dydx

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Q: Complete the table for a savings account in which interest is compounded continuously. (Round any…

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Q: Solve the initial value problem, given that y₁ satisfies the complementary equation (x + 1)² y" -…

A: .

Q: Estimate the area under the graph of f(x) = 3 sin x ㅠ between x = 0 and x = using five approx- 2…

A: To estimate the area under the graph of fx=3 sin x between x=0 and  x=π2 by using five…

Q: Write the following first-order differential equations in simplified standard form. x dy/dx =…

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Q: Suppose f(x) = = x + 1 I T 2 f(x) x+1 x - 2 x < -1 Complete the table Positive Negative Zero O…

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Q: The first derivative of f(x) = = 10x³ - 3 (5x4 - 6x)³ C. (3-10x³)√(5x4 - 6x)³ A. Select one: O A OB…

A: Given a function f(x) , need to find derivative of the function. We will use chain rule to find the…

Q: The eigenvalues of the coefficient matrix can be found by inspection or factoring. Apply the…

A: To apply the eigenvalue method to find the general solution of the system:…

Q: Find the value of f(7) when 7 1 cost - 2 sin 3 3 f'(t) = and f (1) (7) = 6. 2 3

A: f'(t)=73cos(13t)-2sin(23t)given  f(π2)=6

Q: A Super Happy Fun Ball is dropped from a height of 16 feet and rebounds of the distance from which…

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Q: Use the information provided to write the equation of the parabola. Vertex: (-5, -8) Focus: (-5,…

A: Given data

Q: W UF

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Q: Sketch the region enclosed by y=e5, y = e, and a = 1. Find the area of the region.

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Q: A. Calculate Jovit 1+ 3x2 - 4y ds where C is the curve x = t, y = t²/2, 0≤ t ≤ 2.

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

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 1-…

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Q: Suppose a stone is thrown vertically upward from the edge of a cliff on Mars (where the acceleration…

A: To double the highest point of the stone, we need to increase the maximum height reached by the…

Q: 4. (a) Find the second derivative of the function f(x) = e-x². (b) Use the second derivative to find…

A: To find out the second derivative of the function, inflection points, and maxima and minima.

Q: ? S Use synthetic division and the Factor Theorem to completely factor if f(x) = 2x³ +11x² + 14x-3…

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Q: 11. Step 1: Solve each equation for its independent variable and match it to its corresponding…

A: To solve the following

Q: In(√√e.e7/5)

A: First i have written two properties of logrithmic and then use the for the given problem and easily…

Q: A company finds that the rate at which the quantity of a product that consumers demand changes with…

A: As per guidelines we support only one question in one request. kindly repost next question in next…

Q: 2. Find the solution of the given integral √√1-2 dx by using variable substitution rule. x²√1-

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Q: Q26. Order and degree of the differential equation (3) (²2) is? < dx² ex = In (a) order= 4, degree=…

A: To find out the order and degree of the given differential equation.

Q: The populations P (in thousands) of a certain town in North Carolina, from 2006 through 2012 can be…

A: The population of a certain town in North carolina from 2006 to 2012 is given by:P(t)=4.2ektwhere…

Q: Exponential Sales Growth The sales of the Garland Corporation are projected to grow exponentially…

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Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

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Q: 11. Examine the continuity of the following function: (x, if x ≤ 1 f(x)=1, if 1 2

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Q: a). If the SERIES an is convergent, then an is also convergent. [Select] n=1 b). If the SERIES 80…

A: As per the guidelines we are supposed to solve only the first 3 subparts, so please upload the other…

Q: Find the angle , in radians, in the given right triangle. The length of the side adjacent to is 19…

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Q: What is the SUM of the first 10 terms for the following geometric series: 2- 6+18- 54+... A. 59048…

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Q: Use L'Hôpital's rule 2. lim x →0 1 1 (1+x) ²³ - (1-x) ³² 1 1 (1 + x)3 - (1 − x)³

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Q: Which of the following complex numbers is a pure imaginary number? O √2 √3 O 5+2i O 5

A: -2 = 2i This is a pure imaginary number. Because there is no real term. 3 is a irrational number.

Q: Use the Leading Coefficient test to determine the right and left end behavior of the following…

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

Q: Consider the equation . y=5+3x-x^3 a. Find all critical points for the graph. b. Determine all…

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Q: Use Euler's method with step size 0.5 to compute the approximate y-values y1, 92, 93, and Y4 of the…

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Q: Find the Taylor series of the function at the indicated number. 6x² 1 + x³ f(x) = -; x = 0

A: We know that the Taylor series of 1/(1+x) is sum_(n=0)^(infinity) (-x)^n

Q: Estimate the area under the curve y= -1/4 x^4 + 5/3 x^3 - 2x^2 + 5 on the interval [-1,6] with M5…

A: I have appended the formula used in the solution part of the question.

Q: a. The two-dimensional curl of F is b. The two-dimensional divergence of F is c. F d. F irrotational…

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Q: In Exercises 45-46, we demonstrate that, in general, you antiderivative of a product of functions by…

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Q: Find the coordinates of the point (x, y, z) on the plane z = 4x + 4y + 3 which is closest to the…

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Q: Let R be the region bounded by the following curves. Use the shell method to find the volume of the…

A: We have to set up the integral for volume of solid using shell method.

Q: Find the volume of the solid that results when the region enclosed by = √x, y = 0, and x = 9 is…

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Q: K Determine the location and value of the absolute extreme values of f on the given interval, if…

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Q: Use Newton's method with the specified initial approximation x₁ to find x3, the third approximation…

A: x5−x−9=0,  x1=1 According to the Newton method of approximation the root of a function can be…

Q: The function f is continuous for all real numbers and has first derivative function given below.…

A: to find out the critical points, sign of first derivaticve on intervals, local maximum, minimum.