• [√x S: z = 8x, 0≤x≤ 8, 0≤ y ≤7 Evaluate (x - 2y + z) ds.

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Q: Let R be the region in the first quadrant bounded by x^2 +y^2 =4, y^2 = -x+4 and y=0. Which of the…

A: Solution is given below:

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A: Solve the following

Q: 11) Find the general solution to the differential equation. y' = eyx2

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Q: s²+1 Find the inverse of Laplace transform of log (² (s−1)²,

A: =L^-1[log(s^2+1/((s-1)^2) =2(e^t-cos(t))/t

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A: answer is in next step.

Q: 2x + 5 Consider the function f(x) 52+1 For this function there are two important intervals: (-∞, A)…

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Q: Consider the following planes. 3x + 6y-z = 126 x 12y + 2z = 0 (a) Find the angle between the two…

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Q: Using the first derivative find a point on the line (below) that is closest to the point P(5,-6).…

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Q: Given the curve z = √a² - y² over the interval 0 ≤ y ≤a/2, f d the surface area of the solid formed…

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Q: lim (cos(9x)) (+) +0+x

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Q: If cos(x) = (in Quadrant 4), find 19 21 Give exact answers. sin(2x) = cos(2x) = tan(2x) = = Submit…

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Q: 2 -5 -4 -3 -2 -1 1 2 3 4 est M The function graphed above is decreasing on the interval ] < * < […

A: Function is decreasing when the graph goes downward when we move left to right in the graph.  So,…

Q: Differentiate parametrically to find x=3t², y=6t dy dx in terms of t:

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Q: A curve passes through the point (2,5) and the gradient of the curve at any point is given by…

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Q: Suppose dP dt and P(1) = 4. Answer the following. 3) Separate the differential equation, then…

A: The objective of the question is evaluate the indefinite integral.

Q: Find an approximation of the area of the region R under the graph of the function f on the interval…

A: Given problem:- Find an approximation of the area of the region R under the graph of the function f…

Q: Problem 18. Sketch the region enclosed by the given curves. Decide whether to integrate with respect…

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Q: List the letters corresponding to the graphs below that represent a function. Write "none" if none…

A: A graph is called a function if any vertical line is drawn for any value of 'x' in its domain, then…

Q: 1 C 16 A 3 2 -1 -2- -3 -4 -5 1 V = 2 The graph above shows the base of an object. Compute the value…

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Q: x = 5. Use the difference quotient (Newton's quotient) to find when the function f(x) = 2x² - 4x +…

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Q: A region bounded by fly) = 5 - y, y = 1, y = 4, and x = 0 is shown below. Find the volume of the…

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Q: Find f. f '(x) = 1 + 3(sqrt(x)),    f(4) = 22 f(x) =

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Q: If a population of is becoming extinct and the population is decaying exponentially. Assume that…

A: From given information

Q: Evaluate the geometric series or state that it diverges. Το 198 Σ k = 0 56 k Select the correct…

A: topic - geometric progreesion

Q: Use implicit differentiation in finding y'. 1. x² + y² =18xy 2. x²y + xy² = 6

A: Given,x3+y3=18xyDifferentiate w.r.t.'x'(Use product…

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Q: Find the 11th term of the following geometric sequence. 2,8, 32, 128, ...

A: This question can be solved using the formula of general term of geometric sequence.

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Q: Graph the function. y = log, x Plot four points and an asymptote. Then click on the graph icon. 9.…

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Q: Let R be the region in the first quadrant bounded by x^2 +y^2 =4, y^2 = -x+4 and y=0. Which of the…

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Q: 17 prove 4 Cos" ☺ - Sin" 0 = Cos20

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Q: The lower arch of the Sydney Harbour Bridge is 503 metres in width and 118 metres high. It is also a…

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Q: Find the solution to the differential equation =(2x + y cos xy) dx + x cosxydy = 0

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

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Q: 5. The general solution of (D² A. y = (C₁+C₂x)e+C3 C. y = (C₁+C₂x)ex+C3e-2x +2D+1)(D²+4)y=0 A) A cos…

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

Q: Plot four points and an asymptote. Then click on the graph icon. -9 8 1-6 LA 15 19 I 84 I 1 1 KL 71…

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Q: If f(x) = 6 + 5x > Next Question 5x², find f'(-1).

A: We have to find the value of f'(-1).

Q: Consider the function f(x) = 12x5 + 60x¹ - 240x³+4. f(x) has inflection points at (reading from left…

A: I am attaching image so that you understand each and every step.

Q: Sx cos²xdx

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Q: If sin a = 0.857 and cos 3 = 0.591 with both angles' terminal rays in Quadrant-I, find the…

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Q: please answer with 10 minutes and kindly write the answer neat and clear. thank you

A: Two lines is said to be parallel if the two displacement or direction vectors are multiples of each…