The line given by the parametric equations x= 3+2t, y=4-t, z=1 + 3t passes through the point (11, 8, -11). Select one: O True O False

Q: Ib 1b State the E, & definition of the limit, then use it prove lim (3x − 1) = 5. x 2 Note: express…

A: To state the definition of the limit, then by using it to prove .Note: Since the student has posted…

Q: Suppose that lim f(x) = 6 x 3 and lim g(x) = 8 x-3 Enter the exact value of lim (fg)(x) 2-3

A: Suppose that .To find the exact value of .

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A: The figure

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A: In this question, we will find the concave down and up intervals.

Q: Solve the differential equation. dy √xy dx = dx = 2, x, y> 0

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Q: Find the differential of each function. U+ 22 22 U-2 (a) y = dy = (b) y = (1+³)-2 dy =

A: Here we can write, 2=-2+4

Q: Find y as a function of a if y(0) = 7, y'(0) = 4, y"(0) = 133. y(x) = y" - 8y" -y + 8y = 0,

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Q: Differentiate. y = In (4x² − 9x + 1)

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Q: Find the particular solution of the differential equation x²y" - 5xy' +34y=0 (x>0) y'(1) = -4.…

A: This is a special type of differential equation which is called the Cauchy-Euler differential…

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Q: Answer the following True or False: p(x) If p(x) and g(x) are polynomials such that p(6) = 0 and…

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Q: Find all values of x and y such that f(x, y) = 0 and f(x, y) = 0 simultaneously. f(x, y) = x² + 4xy…

A: To find all values of  such that  simutaneously.

Q: Use the Table of Integrals in the back of your textbook to evaluate the integral: -xs -X sec (3x) +C…

A: Given Indefinite integral as follows

Q: Consider h(t)= 3t+2+4t² Determine the intervals on which h is decreasing. Oh is decreasing on: Oh is…

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Q: Evaluate 7/8 S 0 11√ 1- cos 8x dx либ

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Q: .SS. Write an iterated integral for dA over the region R described to the right R using a. vertical…

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Q: Evaluate the indefinite integral S 16 (49 - x2) 19/2 dx

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Q: x 0 1 2 3 4 5 6 7 8 9 f(x) 6 1 3 7 2 5 0 9 8 4 g(x) 6 5374 8 0 1 29 2 9

A: xf(x)g(x)066115233377424558600791882949

Q: d the derivative of :) = €5* (x² +9¹)

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Q: If f(t) = (t² + 3t+2) (5t² + 4), find f'(t). 201³ + 45t² + 32t Find f'(2). 40 X

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Q: If y(x) is the solution of the initial value problem y′′ +y=0, y(0)=1, y′(0)=1, then− 2≤y(x)≤…

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Q: Differentiate. g(x) = log 29 (5x-4) g'(x) =

A: To differentiate the following function.

Q: 3. Solve the following homogeneous differential equations a. y"-4y'+4y=0

A: To solve the following homogeneous differential equation.Note: Since the student has posted multiple…

Q: Verify that f(x) = 2x^3 + x^2 − x − 1 satisifies the hypotheses of the Mean Value Theorem on the…

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Q: Given C = x³ – 6x² + 9x +4 13 a) Find C'(x) = Find any critical values of C'(x) b)x= Use interval…

A: Given,

Q: Question 3.33) A certain sports car is being tested for its performance. Putting the engine at…

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Q: 0 1 X g(x) g'(x) 2 1 3 When x = 7 then D 33 2 f(x) g(x) 25 -2 = 320 3 4 -1 0 -3 2

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Q: Solve the equation. 7 X-4 X = 5 2x²5x- 12 X 1 2x + 3

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Q: Find the local maximum of the function f(x), which is given in the graph below. As an ordered pair…

A: Find the local maximum of the function f(x), which is given in the graph below. As an ordered pair…

Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy 5 +…

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Q: Find the direction cosines and angles of u and show that cos²a + cos² ß + cos² y = 1. (Round your…

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Q: The following table shows the daily receipts in millions of dollars of the movie "The Hunger Games"…

A: The following table shows the daily receipts in millions of dollars of the move "The Hunger Games"…

Q: Find the following using the table below. X 1 23 4 f(x) 4 32 2 1 ƒ'(x) || 2 1 4 3 g(x) 34 1 2 g'(x)…

A: we are given the table of functions and their derivative at certain values, we need to find out the…

Q: Let s(t) = 6t³ + 9t². v(t) = t - Where does the velocity equal zero? [Hint: factor out the GCF.] and…

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Q: Find a formula for the nth partial sum of the telescoping series below and use it to determine if…

A: ∑n=1∞(n+6−n+5)

Q: Solve the equation and check your solution. 6x 15 = 9x + 22 X =

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Q: The demand function for a certain product is given by D(p) = O A. D'(p) = 2,790 +48p (12p+15)² -…

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Q: SYSTEM: x + y + z = 6 2x - y + z = 3 3x z = 0 -

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Q: Let f(x) = (6-x-x² 2x - 9 Calculate the following limits. Enter "DNE" if the limit does not exist.…

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Q: Find the exact directional derivative of the function √y z at the point (1,9, 9) in the direction…

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Q: Given the function f(x) = -2x² Find the difference quotient Find f'(x) by determining lim h→0 -4…

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Q: Find the local linear approximation of f(x) = NITK at to=3 to approximate $3.9 and 1 use it (a) f(x)…

A: f(x)=

Q: If lim f(x)=7, which of the following must be true? x→3 f is continuous at x = 3. f is…

A: From the given limit it is clear that the limit exist.Limit exists when left-hand side limit is…

Q: Set up an integral that represents the length of the part of the parametric curve shown in the…

A: x=tcos⁡(t),y=t−6sin⁡(t),

Q: The answers are K=73.333 and L=146.67 Ibs, can you explain to me how to get there?

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Q: e²t-e-2t Let h(t) = Find the e²t+e-2t horizontal asymptote(s) of h(t) if they exist. If h(t) has no…

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Q: A tank contains 90 kg of salt and 2000 L of water. A solution of a concentration 0.0225 kg of salt…

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Q: (a) Find parametric equations for the line segment that joins the point P(2, 3, -3) to the point…

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