Use an iterated integral to find the area of the region bounded by the graphs of the equations. y = 49 - x² y = x + 7 Jx+7 dy dx =

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Q: 3 Evaluate: S(5x¹2x³ + 3x − 4)dx -

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Q: Consider the sequence (1/2+1/2+¹). lim 818 11 (+ 1/1/2+1) = -

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Q: Use the comparison theorem with f(x) = = 1 √x to show that [₂²= 1 √x-1 is divergent.

A: See this solution in below

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Q: In Exercises 35-40, find the partial derivative of the function with respect to each variable. 35.…

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Q: (c) I² +4 3x³+4x² - 4x [3 -dx

A: Here we have to find the integral.

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Q: Find the interest rate needed for an investment of $10,000 to grow to an amount of $13,000 in 6…

A: I have appended the formula used in the solution part of the question

Q: 1. Find the general solution of: du dx _ _ y + xy² + x³ x+x²y+y² dy

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Q: Use the Law of Sines to solve the triangle. Round your answers to two decimal places. A = 100°,  a…

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Q: Find power series for the following functions x 1- (2x)4

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Q: / dw W8 W8

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Q: Prove that if A is an invertible matrix and B is row equiva- to A, then B is also invertible. ation

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A: Suppose r is the radius of the log with the area of the log is given by: A=πr2 So, we have:…

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Q: Use the method of partial fraction decomposition to perform the required integration. 6x² +22x-23…

A: NOTE: Refresh your page if you can't see any equations. .

Q: O A. Use the formula for the cosine of the difference of two angles to find the exact value of the…

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Q: Find y as a function of a if y(0) = 7, y/(0) = -12, y'(0) = 108. y(x) = y" + 36y' = 0,

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Q: xp (I + ²)² [ (1) 9x)x I

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Q: 5 Find a parametrization for the line segment joining the points (0, 2) and (4,0) using the angle in…

A: A parametrization for the line segment joining the points (0,2) and (4,0) using the angle θ in the…

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

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Q: [4 - x - x² if x 5 Use a graph to determine the following limits. Enter DNE if the limit does not…

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Q: - y Sinx + Cosh zy=0 -Coshzy di Sinx = - dx ·coshzy dx dy Sinx+ coshzy dx =0 ليه Sinx = -co + dx…

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Q: Find the general solution to the differential equation: cos x y' = sin re

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Q: 2x += 2 +플) Describe the phase shift of g(x) = -3tan 2x + an(2x What phase shift? O right left right…

A: Given problem:- Describe the phase shift of g(x) = - 3tan(2x + π/2)

Q: Evaluate the integral: dw J 2000 5 W8 W8

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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: Transform the given polar equation r = sectan to rectangular coordinate.

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

Q: Given the functions f(x)= x^2 -2x+1 and g(x) =5x-4 determine:       (a) g(4) -g(3).   (b) f{g(2)}

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Q: The table below shows the velocity of an object (cm/sec) at each sec as it moves along a track for…

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Q: Use the comparison theorem with f(x) = 1 √x [₂² to show that 1 X- is divergent.

A: Show that ∫2∞1x-1 is divergent.

Q: Write the following expression as a single summation. ΤΗΣΗΣ 7· Σ (k2 + 8) + 9· Σ (2 - 1) = Σ k = 1 k…

A: Note :- These are multiple questions and according to our comapny guideline we can do maximum 1…

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Q: 12) 3 Find the first derivative of f(x)= -2 3x

A: The objective of the question is determine the first derivative of the given function.

Q: If 0 = sin(0) = 1 3 cos(0) = .π₂ then Enter exact values. No decimals allowed!

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Q: 3Q Express each vector as a product of its length and directions i. 2i+j-2k ii. 3/51+4/5k iii.…

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Q: MY NOTES ASK YOUR TEACHER Consider the equation below. (If an answer does not exist, enter DNE.)…

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Q: Find y as a function of t if y(0) = 4, y(0) = 1. y(t): = 64y" - 144y + 81y = 0,

A: Given: The characteristics equation is             64m2-144m+81=0⇒m=--144±-1442-4· 64· 812·…

Q: the limit 25 - x 5-√√x Evaluate lim x 25 →

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Q: a. Trapezoidal Rule____ b. Midpoint Rule....

A: question is incomplete