ve the following: y' - x³y² = 4x³, y(0) 4x³, y(0) = 2.

Q: Use polar coordinates to evaluate the double integral. 1 1 + x² + y² where R is the sector in the…

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Q: where do these (encircled in red) come from?

A: I am attaching image so that you understand each and every step. Please take exact value then we get…

Q: gral Izyds xy ds ere C is the spiral r = e from 0 to 0 = 2π. =

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Q: If tan(0) Hint = sin(0) = cos(0) = sec (0) = 15 - 8 ) 0 ≤0 ≤ 90°, then the exact value of

A: Here we have to find the other trignometric function.

Q: Find the general solution of the differential equation. y(4) - y = 7t+cost. NOTE: Use C₁, C2, C3,…

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Q: what is the integration of x^2/(9-x^2)^3/2 using trigonometric substitution

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Q: Consider the following. f(x, y) = 5x - 4y (a) Evaluate f(9, 1) and f(9.1, 1.05) and calculate Az.…

A: Given function,fx, y = 5x -4y

Q: ¹.8 The point P(25, 7) lies on the curve y = √2+2. Let Q be the point (a, √ + 2). a.) Find the slope…

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Q: Find the solution of the given initial value problem. y(4) – 6y"" +9y” – 0; P y(1) = 9+e³, y'(1) =…

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Q: Find the general solution of the differential equation. y (4) + 4y" + 4y = 0. NOTE: Use C₁, C2, C3,…

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Q: Without using a calculator, enter the sine and cosine of 240° using the reference angle. Decimals…

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Q: a B sin(A) = cos (A) = Note: Triangle may not be drawn to scale. Suppose a = 9 and b = 2. Find an…

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Q: 1.2.2 Quiz True or false? (a) Every vector space contains a zero vector. (b) A vector space may have…

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Q: Given the sequence below, determine the following: Is the sequence monotone? If so, is it…

A: Given :n!1.3.5...(2n-1)n=1+∞

Q: 4. Set up an iterated double integral equal to the volume of the solid in the first octant bounded…

A: Solution is given below:

Q: The graph of y=f(x) is given. Solve the inequalities. Write the solution set in interval notation if…

A: To solve the given inequalities for the function f(x).

Q: 1. Use the substitution method to evaluate x² S. VAI ³ + 50° dx

A: Here we have to find the integral using substitution method.

Q: List the terms of the sequence below from n = 1 to n = 5

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Q: 7 If f(x) = x² + 10x and g(x) = - X find f(x) · g(x).

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Q: K If f(x) = x² + 7x and g(x) Answer = 51 find g(f(n)). g(f(n)) IL

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Q: The radioactive substance cesium-137 has a half-life of 30 years. The amount A(t) (in grams) of a…

A: Given: The radioactive substance cesium-137 has a half-life of 30 years. The amount A(t) (in grams)…

Q: Write the first five terms of the recursively defined sequence. 12 ak 2² a₁ = 4₁ ak + 1 Step 1 Note…

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Q: S 3/ 2 V x 3/2 -dx X +4

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Q: Use the graph to find the indicated limits. -10 -5 Find lim f(x) x-3 Find lim f(x) x-3+ Find lim…

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Q: Consider the following repeating decimal. 0.5 Exercise (a) Write the repeating decimal as a…

A: Consider the following repeating decimal. 0.5To write the repeating decimal as a geometric series.

Q: If f(x) = 3x²-3x + 2, find f'(1). Use this to find the equation of the tangent line to the parabola…

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Q: Find y as a function of a if y(0) = 8, y(0) = 4, y"(0) = 134. y(x) = y"8y" -y + 8y = 0,

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Q: Find a bound for the error in the approximation T20 to the given integral (but do not calculate…

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Q: The derivative of a function of f at x is given by provided the limit exists. f'(x) = lim h→0…

A: We can use the given definition to find the derivative as below.

Q: 11. A ball is thrown downward with a speed of 8 ft/s from the top of a 64-foot-tall building. After…

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Q: ∞ A function is a probability density function if it satisfies the following definition: 1: f(t)dt =…

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Q: The circle given by the equation x²+y²+ax+by+c=0 passes through the points (2.0), (-1,7) and (5,-1).…

A: Put given points into given equation

Q: nd the solution of the given initial value problem: ) = || y(4) + 2y"" + y″ + 8y′ − 12y = 12 sin(t)…

A: The solution is given below

Q: Differentiate implicitly to find dy/dx. sec(xy) + tan(xy) + 10 = 1 (No Response) dy dx

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Q: The area of the shaded rectangle in the figure is A = /h. The possible errors in the length and…

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Q: 20. Find the area of the region outside the circle r = 3 and inside the circle r = 6 cos 0. -2 0 -2-

A: Given curves are r=3 and r = 6cosθ  At the point of intersection , we have…

Q: trigonometric substitution 2 X (9-x² -dx

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Q: Find the cosine of the angle between the vectors a = 2i +3j - 4k and b = 5i-1j+ 1k. (You should…

A: Find the cosine of angle between two vectors

Q: Find the general solution of the differential equation y(4) - 4y" = t² +e².

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Q: Find all real numbers a such that a2= a-2. Explain why this does not violate the exponential…

A: To find out values.

Q: Differentiate implicitly to find the first partial derivatives of z. 5x² + 11y² + 7z² = 4 (No…

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Q: Find the general solution of the differential equation. y (4) + 2y"+y 3+ cos(4t). NOTE: Use C₁, C2,…

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Q: a B Find: b = Note: Triangle may not be drawn to scale. Suppose a = 10 and A = 60 ° C= C B = b A

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Q: H.W Graph the functions: ا رسم الدوال 1- y = Sin = X 2- y = 3 tanX 3- y = 3 + Sinx 4- y = cot 3 X 5…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles.…

A: Solution is given below:

Q: The graph of y=f(x) is given. Solve the inequalities. Write the solution sets in interval notation…

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Q: / dw W8 W8

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Q: A window has perimeter 10 m and is in the shape of a rectangle with the top edge replaced by a…

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

A: Given:    f''(x) = 4    f'(2) = 11    f(2) = 16

Q: Test for symmetry with respect to each axis and to the origin. (Select all that apply.) 49 - x² The…

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