J. (1+vx), √x dx

Q: question 6. (D4-5D²-36)y = 0 answer 6. y = k₁ cosh 3x + k₂ sinh 3x + C3 cos 2x + C4 sin 2x…

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Q: Determine the possible pairs of values (a, b) which make the function below continuous everywhere.…

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Q: Find c such that the function x ≤ c { is continuous everywhere. f(x) = x² - 3 X 6x 12 x > c -

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Q: (1) lim,-0 √x+9-3 X (2) lim-0 1–c05x x sinx (3) limx-1 x²+3x-4 x-1

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Q: Which of the following equations is NOT a variable separable differential equation? A B C D (xy -…

A: We have to choose the equation which is not a variable separable differential equation.

Q: Obtain the General Solution of dx + xydy = y²dx + ydy.

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Q: -22 the x-axis, x=-1, and x = 1. Use Define R as the region that is bounded by the graph of the…

A: The region R is bounded by the graph of fx=1-x22, the x-axis, x=-1, x=1 The solid is formed by…

Q: Please

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Q: Solve the differential equation, such that the equation passes through the given point (x, y).…

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Q: x/4 11. evaluate sec(x) dx . Give 3 decimal places for your answer. If your answer is below 1, use a…

A: ∫0π4secxdx

Q: You are planning to donate exactly 5% of your income to charity. Your weekly paycheck is $753.98.…

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Q: (28) filx)=2x-1|-2

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Q: 5. A point on the graph of y = f(x) is (3, 5). The corresponding point on the graph of y = f(3x) is:

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Q: 55. + -3 -2 -1 2 O -1 y -2 1 2 3 Graph of f' Let f be a differentiable function with f(1) = 3. The…

A: Let f be a differentiable function with f1=3. The graph of f', the derivative of f, is shown below.…

Q: The y' and y" for y= -3 3√x

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Q: Label the zeros and asymptotes. Graph each function. Answer each limit question. 11. f(x) =…

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Q: 6. Find the antiderivative of e(4lnx) - e(4x 5 4 O e e4x 5 4 +C +C 04-e+ +C 4x³-4e4x + C

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Q: y' = ysecx

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Q: Find the differential equation by eliminating the arbitrary constant/s. 1. ecosx = c(1-cosy)-¹

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

Q: Find f(x) + g(x), f(x) = g(x), f(x) · g(x), f(x) = 5x-9 g(x) = 7-6x (a) f(x) + g(x) (b) f(x) = g(x)…

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Q: A graphing calculator is recommended! If a ball is thrown into the air with an initial velocity of…

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Q: The function f(x) is continuous on the interval [-1,3]. The table below gives some of its values.…

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Q: B. Find the DE of each of the following by eliminating arbitrary constants. Reduce your final answer…

A: Let's eliminate the arbitrary constant.

Q: If an investment increases 1% the first year, 5% the second year and 9% the third year, what is the…

A: Let the investment at starting is = x   Increase in first year =1 % increase in second year = 5%…

Q: 2. f(t) = √t+ ³√√t

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Q: t10 x csc x dx 6 cot 10

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Q: Eliminate C from the equation y=3x²+ Ce=2x. Ay'-2y-6x²+6x=0 B) y'- 2y + 6x² - 6x=0 Ⓒ2y+y'+3x²+6x=0…

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Q: For the homogeneous equation (y² + 2xy) dx -x²dy = 0, which is a better substitute: letx=vyory=vx?…

A: The given equation is; (y2+2xy)dx -x2dy=0.

Q: If a rock is thrown upward on an exoplanet of a nearby star with initial velocity of 15, its height…

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Q: The point P(1, 0) lies on the curve y = sin( (a) If Q is the point (1) 2 = sin(13). CIEN : (x, sin(…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 1. Calculate the following limit analytically or show that the limit does not exist. Re- member to…

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Q: 5. For what value of k, k> 0, does (6kx-2k) dx = -k³ ? о 1 02

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Q: Find the particular solution of y (9x - 2y) dx -x (6x - y) dy=0., when x=1, y=1. Let x=vy

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Q: 1. h(x) = √4x²

A: Given function h(x)=4-x2

Q: 3 Use the Squeeze Theorem to evaluate lim f(x), where f(x)=x²cos (-). x A B C D - 0 0 1 8 -0-x

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Q: 2) Write the equation in logarithmic form 343/3 = 7 a)log,=343 b) log, 343-7 c) log 343=7 3) The a)…

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Q: answer

A: As per policy only first question is answered. Please refer to the image below

Q: 53. I 0 f(x) f'(x) g(x) g(x) (A) 15 (B) 3 (C) 2 (D) -5 4 1/1/13 2 - 2 32 3339 The table above gives…

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Q: 2. What is the average rate of change from x = 4 to 9 of f(x) = 200e-03x

A: We need to find average rate of change.

Q: 5. Let f(x) = 4x²-x+2 √√x Find/ (+)+8+) +g 4 and g(x)=6√x- 1 1 2√x x√x

A: NOTE: Refresh your page if you can't see any equations. . take x=1/4

Q: 9. Let f(x) = 4x² - 2x, 2 √3x- x - 6, 2, Find a) f(-1) b) f(3) c) f (8) d) f(1) e) f (6) x ≤ 1 1<x<…

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Q: Write the interval of continuity for the function below: sin(x)√/25 - x2 x-6 f(x) =

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Q: Suppose that receiving stations X, Y. and Z are located on a coordinate plane at the points (5,10).…

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Q: 7 g(x) = (3x²-2)-2 2x+3 و ga) = -2 (3x²-2) -3 / (2x+3) (6x) - (3x²-2) (2) (2x+3)2 (56) = (-2…

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Q: Write the interval of continuity for the function below: sin(x)√81-x2 x²+x-6 f(x) -

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Q: To obtain the General Solution of si What will be the form by separation of variables? cosv A)…

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Q: Evaluate lim f(x) if f (x) x-5- A B -10-4 D 0 ∞ ∞ = 1 (x - 5) 4

A: To find out the limit.

Q: The graph of f has a hole. The graph of f has a vertical asymptote. The graph of f has a…

A: Here let counter example. F(x) =x   There is no hole  There is no verticle asymptote

Q: dy dt = e¹+y +}

A: We can answer the question as below.

Q: Let f(x)=x²- 2x + 4. g(x)=1/x², mine the following functions. 31. f(g(x)) 33. g(h(x)) 35. f(h(x))…

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