Find the area enclosed by the curves y=2r2, y=2x ,x=- and x = 1 4 A 59/76 B 45/51 49/96 D 65/89

Q: 1) Find the derivative of the following trigonometric expressions below. Please show all of you work…

A: A)y=sin x+ cos x -3x2dydx=ddx(sin x)+ddx(cos x)-ddx(3x2)dydx=cosx -sin x -6xB)y=-12…

Q: ey+y°.

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Q: Find the following Laplace and Inverse Laplace Transform of the function. 5. f(t) = e-4t (t-cos(t))

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Q: Suppose that '(t) and F(0) . Find 7(t) F(t) = <

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Q: 2. - XGtx)

A: Explanation of the answer is as follows

Q: 5. Suppose that f(n) satisfies the equation 5. f(m + n) = f(m) + f(n) – 2f(mn) for all integer m,n…

A: The objective of the question is computing the value of f(n).

Q: Convert a = 600 to a Cartesian equation. y = x/2 x = v3y Oy= v3x

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Q: Given IV-x2+ 4x +5 dx. Using trigonometric substitution, what is the integral form in terms of 0 ? A…

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Q: 22 - 12x To solve -dx, partial faction is to be employed. What is the most appropriate form of the…

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. S r xy dy dx dz 0,

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Q: Find the indefinite integral. (Use C for the constant of integration.) 1 XV x4 dx - 16

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Q: 4y V16+16g Find the divergence of the vector field F(z, 9) i+ V16z + 16g Provide your answer below

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Q: A 25-year old woman burns 250 – 30t cal/hr while walking on her treadmill. Her caloric intake from…

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. LLL. yz dx dz dy -60 -90

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Q: 3 2 3. Vxydydx = Vxdx Vydy Select one: O True O False

A: This question is related to double integral , we will solve it using given information.

Q: 3 (x + h)³ – a³ lim h0 h

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Q: An oral medication is absorbed into the bloodstream at the rate of  4e−0.04t  milligrams per…

A: Find the total amount of medication absorbed within the first 20 minutes

Q: 15x2 – x3 – 43x – 19 Ax +B C D + rx +s The integral -dx can be rewritten as dx. (x+1)2(x²– 6x+ 13)…

A: Take partial fraction.

Q: x² V1-x2 dx Use trigonometric substitution 2.

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Q: ニ 2 2. dx | -r

A: The given integral  y=2∫-rrr2-x2dx  Can be solved using integration formulas given below…

Q: Find the Volumes for the fallowing sollids whose theishts are de fined by ZCXyy) and bases are the…

A: Double integral

Q: Find the area (in square units) of the region under the graph of the function f on the interval [-3,…

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Q: Complete the table shown to the right for the​ half-life of a certain radioactive substance. ​…

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Q: Convert the polar coordinates (2, 60) to Cartesian coordinates. (1, √3) (√2, √2) (√3, 1)

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Q: Convert the polar coordinates (1, 111) to Cartesian coordinates. O(V3/2, -1/2) O (1/2, -V3/2) O…

A: The objective of the question is determine the Cartesian co-ordinates.

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. p5-y y dx dy 3y

A: the solution is as follow

Q: (9) If sin(A) = /2, sin(B) = - ½, "/½ < A < r, and n < B < 3*/2, find cos(A + B) (A) 0 (B) /2 (С) —…

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Q: NOTE: Enter the exact answer. dy dx

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Q: he traffic flow rate (cars per hour) across an intersection is r(t) = 500 + 800t – 180t, where t is…

A: Given query is to find the number of cars between 6 to 8 am.

Q: Find the area between y = 3 sin a and y = 7 cos a over the interval [0, 7]. Sketch the curves if…

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Q: dx = x – 2y + 1 dt dy = x + 3y – 9 dt

A: given

Q: Determine whether the series is convergent or divergent by expressing the nth partial sum s, as a…

A: Expressing terms as a telescoping sum:∑n=4∞ 8n2-14∑n=4∞ 2(n+1)(n-1)4∑n=4∞ 1n-1-1n+1∑n=4∞…

Q: Select from the subsections, the one that corresponds to a step of the solution procedure of the…

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Q: A solid right cylindrical cement block of volume 97 ft³ is to be made, and then painted except for…

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Q: Given f''(x) 25 sin(5x) and f'(0) = - 1 and f(0) = 2. | Find f() 6.

A: Given query is to solve the differential equation and find the valu of indicated function.

Q: Find the limit. lim tanh(x)

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Q: Find the total area of the region enclosed by y=x^2 and y=2x by integrating with respect to y. A 2/5…

A: topic - area bounded by curves

Q: (4/3,4) to polar coordinates. Convert the Cartesian coordinates O (4, 30) (V42, 150) (8, 30)

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Q: 8. Let y(x) be the solution of the differential equation ry' - y = lnr such that y(1) = 1. Find y(2…

A: The standard form of the first-order linear differential equation is: dydx+Py=Q Where P &amp; Q is…

Q: 8. xy +y2 - x²y' = 0

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Q: 2. x² V1-x? dx_

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Q: What would a graph look like if the polar equation is "r = 4"? It would look like a semi-circle…

A: The polar equation is  r = 4 To evaluate: The graph of the polar equation.

Q: Estimate the area under the graph of f(x)= 3x between x 0 and x=1 using each finite approximation…

A: Note: As per our company guidelines we are supposed to answer the first three subparts of the…

Q: An open box is to be made from a square piece of material, 38 inches on a side, by cutting equal…

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Q: Determine the points at which the limacon defined by the polar equation r= 3 +2 sin e Has horizontal…

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Q: Which formula is not equivalent to the other two? 10 (-1)*-7 -5 (- 1)* 3 (e) k-7 | 3 (2) k = -7 k+1…

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Q: F- dr in the case when F(z,y) = (7y -sin (y) + 8) i+ (72 - cos (y))jis conservative, and Ais the…

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Q: Find dy for given Values OF x and AX y= 4x315x X=-3 and AX = 0.3

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Q: A ball is shot from the ground straight up into the air with initial velocity of 42 ft/sec. Assuming…

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Q: Question Using Rolle's theorem for the following function, find all valuesc in the given interval…

A: Given query is to find the value of c for the given interval.