Use the gradient to find a normal vector to the graph of the equation at the given point 7x²-y=5, (10, 695) O-140i-695j O 140i+j O 140i+ 695j O 140i-j O-140i-j

Q: f(x)= { A. True B. False 4x²-5, 32x-69, x≤4 x>4 is continuous and differentiable everywhere.

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Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 9xe…

A: Basic differentiation identities are used.

Q: 27. Given that - what is A. = < B. C. D. s[, ; equal to? n E.

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Q: Set up the triple integral to find the volume inside x² + y² = 9, above z = 0, and below x + z = 4.…

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Q: O S₁ (√x - x) dx

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Q: Compute for the arcsinx dx

A: NOTE: As per our guidelines, I have solved one problem. If you want the answers of rest, kindly post…

Q: 3 :) Scos ³ (Zw) sins (zu) du 2

A: To find out the given integration.

Q: 100 t/min -6 ft As shown in the above picture, a 6 foot tall man is standing on a beach at night. He…

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Q: Find r(t) given the following. r'(t) = 18t5j+20t¹k, r(0)=2i+18j O r(t)=2i+(18+ 3t6)j + 4t³k O r(t) =…

A: Given,

Q: Answer true or false. If L{f(t)} = F(s) and L{g(t)} = G(s), then L-¹{F(s)G(s)} = f(t)g(t). O True O…

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Q: Let f(x) be defined as f(x) = 5x³ cos(x). Find f'(1). (If necessary, round the answer to three…

A: find out the f'(1).

Q: Let f(x) = x³ - 3x². What is the absolute maximum of g(x) in the interval [-2, 4]? Answer:

A: To find out the absolute maximum.

Q: 12. The trigonometric identities applicable to evaluate [sin'0 cos³ e de 1. cos² 0 = (1+ cos20) I.…

A: Yhave have asked multiple questions and not mentioned which question answer you need so according to…

Q: 2 2 [²³x² x² dx. 0

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Q: Solve the differential equation by variation of parameters. y" + 2y' + y = e-t In(t) y(t) =

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Q: Find the area of the region in the first quadrant bounded by the curve y = √x² +5, the x-axis and…

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Q: Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line.…

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Q: Prove that .. ICOS 55 577 3 Cos БП [Cos 4 isin STT 3 57 + i sin S11114 = ~1 6 G +

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Q: Find the general solution of the given higher-order differential equation. y"" + 4y" - 9y' - 36y = 0…

A: To find the general solution of the given differential equation.

Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

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Q: For the sequence, determine if the divergence test applies and either state that lim n→∞ an does not…

A: Answer: The solution is as given below:

Q: 1). Compute the general term an of the series with the given partial sum Sn. Sn =  n(n + 1) 2, n ≥…

A: Solution:

Q: Use the definition of the Laplace transform to find L{f(t)}. (Enter your answer in terms of s.) 0,…

A: To find: L{f(t)} by the use of Laplace transform. Given information: The function is  ft=0…

Q: To solve the equation e* = 2 we take the derivative of ex. Select one: True False

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Q: Question 12 Compute the following integrals: (a) fix√2x - Idr. (b) Sze-37 dz. Pay attention to…

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Q: If we want to find the area under the curve of y = sin(x) + cos(2x) when x is between 0 and , what…

A: In this question, we want to know the formula to find the area under the given curve.

Q: In a solar system, two comets pass near the sun, which is located at the origin. Comet E is modeled…

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Q: Find the following for the given equation. r(t) = (e-t, 7t², 9 tan(t)) (a) r(t) = (b) r"(t) = (c)…

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Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

A: We need to find y2

Q: find the length of the segment of the line y-3x=0 from the point (1,3) to the point (2,6)

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Q: M

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Q: In the following questions, answers could be repeated. If a limit does not exist because it goes to…

A: NOTE: Refresh your page if you can't see any equations. .

Q: An architect has designed two tunnels. Tunnel A is modeled by x² + y² + 30x + 56 = 0, and tunnel B…

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Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line. Line…

A: Topic = Derivative

Q: Consider the following. u = −8i – 2j – 4k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find…

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Q: Given f(x,y,z)=√(−6x+5y+2z), find fx(x,y,z) = fy(x,y,z) = fz(x,y,z)=

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Q: a. Find the first four nonzero terms of the Maclaurin series for the given function. b. Write the…

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Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must…

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Q: lim etti + t → 0 sin(2t); i+e-2tk) 2t

A: We have to find the value of  given limit.

Q: 4

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Q: Question 4 Find the derivatives of the following: f(x)= (4x+7)(x-3) (x-2)

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Q: A conservation organization releases 15 Florida panthers into a game preserve. After 2 years, there…

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Q: Consider the following function and point. f(x) = =X+4, (5,9) (a) Find the derivative of the…

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Q: 6). For an as follows, write the sum        an as a geometric series. a1 =  1 18 and  an an + 1 =…

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Q: (85) 6-4,3) Graph off -10 (5,0) fo (8-2) Let f be a differentiable function defined on [-10, 10]…

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Q: Find dx dt dx dt at x = = 2 if y= 2x² - 1 and dy dt - 3.

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Q: 4. (True/False) Every point (r, y, z) can be uniquely represented as a point (r, 0, 2) in…

A: Solution: True

Q: Please explain how to find the fifteenth derivative of f(x)=2x^15-3^x, f^15(x

A: Topic - Derivative of a function

Q: Question 1 Determine if the function below is continuous at x=9. Give reasons for your answer. F(x)…

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Q: Use the Laplace transform to solve the given initial-value problem. y" - 3y' = 4e²t - 2e-t, y(0) =…

A: I have solved step by step in detail....go through the solution