17. What is the amplitude of the graph y = -4sin (x - 2)? The amplitude is units. 4 02 2π K|2

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Q: Subject: Integral Calculus

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Q: Evaluate the following limits. a. lim 2x 3x² b. lim x→0+ e-3/x ,2 X² ||

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Q: -lving ³4xdx gives 4x b. 4x² c. 2x 1²³ C. 31 d. 2x² 1³

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Q: C. In5 x ,2 X limx→+⁰

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Q: dx + dy = 0

A: The given differential equation is dy+dx=0  .............................. (1)

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Q: 4. Solve each for angles between 0° and 360°. (Round final a steps.) a) cos=-0.2186 b) 5-2 sin0 =…

A: The solution as follows :

Q: 9) Find the equation of the tangent to the curve y = 1+ Int and x=t+Int when t = 2.

A: Given problem:- Find the equation of the tangent to the curve y = 1 + lnt and x=t+Int when t = 2 .

Q: 32/5 y=x² 32 Find the area of the region bounded by the graphs of y = x² and y = 4x. 64/3 32/3 64

A: The area between curves is the area between a curve fx and a curve gx on an interval a, b given…

Q: Setan2 sec² 2xdx Select one: O a. 0.4325 O b. 0.0287 O c. 0.6543 d. 0.0177

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Q: If the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the…

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Q: 3. f(x)=x-x³-x²+1 3

A: This is a problem related to derivative of the function. Based on the general formula and concept we…

Q: Find the enclosed area by the curve with equation y = x² - 9 and the X-axis in the region [−1, 2] 24…

A: In this question, we want to evaluate the area of the region enclosed by the curves y=x2-9 and X-…

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Q: Use substitution to find the indefinite integral. X 1²2* S= 4x² +2 X 4x + 2

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Q: 5x-2 Find the member of the curve whose slope at any point is y+s point (3, 2) and passes through…

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Q: Physical Applications of First-Order Differential Equations A body of unknown temperature is placed…

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Q: Below is the graph of y=x. Transform it to make it the graph of y=-x-4-2.

A: a) y=-x-4-2b) y=-2x-4

Q: 3√3 dx √3 x² √√x²+9

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Q: 2. Two cars leave from the same position at the same time. One travels due North at 30 mph, while…

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Q: find the inflection point to the right of y-axis of the curve defined by the equation, y=x^2/2 +…

A: Given problem :- find the inflection point to the right of y-axis of the curve defined by the…

Q: 1. Find the slope and the rate of change of the slope with respect to x when t = 90°. x = 2…

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Q: 2 3/2 √₁² (4- x²) ³/² dx

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Q: Find dy/dx and d2y/dx2 of x= t + 1/t, y= t + 1

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Q: x³ - 125 lim x-5 x - 5

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Q: For each graph, choose the function that best describes it. (a) (b) (Choose one) (Choose one)…

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Q: Evaluate ³9x³y² dydz Select one: a. 3360 O b. 1280 OC 2245 O d. 652

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Q: 5-x Find the family of the curve whose slope at any point is y-3 passes through the point (2.1) and…

A: Topic:- calculus

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Q: If y = 1 and 2 = 1, find Select one: a. -1 O b. -t O c. 1 O d. t

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = 2 e* cos (yz),…

A: We can solve this as follows:

Q: Find the volume of the solid of revolution obtained by rotating the region bounded by y=1/x, y=2/x,…

A: This question is based on application of integration.

Q: Convert each pair of polar coordinates to rectangular coordinates 1. (2,315 degrees) 2. (1,…

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Q: Find the length of the curve y = ln sin x from t = −2 to t = 0.

A: f(x)=y=ln(sinx) Arc length =∫ab1+(f'(x))2dx f'(x)=dln(sinx)dx=1sinxdsinxdx=cosxsinx=cotx a=-2 b=0

Q: 3 If f *¸9 (2) dx = -5 g(x) dx = -2 and Find the value of 3 15 -5 g(x) dx 15 g(x) dx = 9

A: Solution of given question is written in below steps.

Q: дz дz Suppose z is a function of r and y and tan(√x + y) = e²². Determine and 3x ду

A: given function tanx+y=ez2

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Q: 4. Determine whether the following statements are True or False? y = f(x) (a) _lim_ f(x) = 1 (b) lim…

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Q: 1. The figure shows the graph of a function f(x) with domain 0 ≤ x ≤ 3. Which of the following…

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Q: 2. Use integration to find the volume of the solid generated which is bounded by x + y = 2 and the x…

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Q: 0 Compute the integral: I alned

A: LetI=∫01xlnxdxApply integration by…