Do not use calculators. Approximated decimals are not accepted. Let j=8 k= 3 Solve the equation: log3 (x-9+ k) = 2 -log(x - 1+k)

Q: x TC 021 Find The Area under the curve Y= 4sine between X=and 2 X= 7, by the double integral method.…

A: This question is based on application of integration.

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A: We have to find laplace of given function.

Q: Use the law of cosines to find the angle of the triangle based off the sides listed below for…

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Q: Using the technique of substitution with u = -t, the 01 / 2²1-41 des du 70 1 04/2² du ㅠ O -1 za 2²…

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Q: Describe the transformation that can be applied to the parent function g(x) = e to obtain the graph…

A: Explanation of the answer is as follows

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: Solve the given initial-value problem. dx y - x = 6y², x(8) = 1 dy x(y) = Give the largest interval…

A: Given problem:- Solve the given initial-value problem.   ydx/dy-x= 6y², x(8) = 1

Q: V A

A: ∫x1+x2dx=∫2u4+u2du=2·∫u4+u2du=2·∫2v24+v4dv=2· 2·∫v24+v4dv=2· 2·∫ -v4v2+2v+2+v4v2-2v+2dv=2·…

Q: x²-3x-10 x 5 x²-8x+15 9. lim

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Q: We know that F is an antiderivative of f, so to: O a) lim (F (b) - F(a)) a 0 Ob) lim (F (b)-F (a))…

A: Here given that, F is an antidervative of f, so we have to find the value of ∫0bf(x)dx=?

Q: (0²-16)³/2 de A3

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Q: 2. If ū=-27 +57-3k, then || is

A: We will find the value of u→ in the following step.

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

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Q: a. Show that f has a removable discontinuity at x = 3. x² - 7x + 12 f(x): x + 2 = x = 3

A: The given function is: fx=x2-7x+12x+2, x=3 Show that f has a removal discontinuity at x=3

Q: A bank pays continuous compounded interest. Sue deposits $100 in the account, and in 3 years she has…

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Q: Evaluate the following integral. r/4 1 (s secx- cos cos sx)²dx 0 x/4 ļ (secx- cos x)²dx= 5 3 4 8 0…

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Q: 5. The points A(1, 0, 2), B(2, 0, 1) and C(1, 2, k) form a triangle of area √6. Determine the…

A: Follow the procedure given below.

Q: Q3) Find the integration by using Partial fraction method Y x² + 2x + 1 (x² + 1)² dx

A: The given integral is: I=∫x2+2x+1x2+12dx   As we know that; The Power Rule: ∫xndx=xn+1n+1+C And…

Q: Consider the following statements: I. 27x+3, 27x11, and 27x + 17 are antiderivatives of 27. II. In…

A: Given : 1. 27x+3, 27x-11 and 27x+17 are antiderivatives of 272. In general, 27x+C is an…

Q: 79 J ·S= sen7⁹ (x) dx. When applying variable change u-cos(x) 39 ○ a) J = [ (1 − u²) 3⁰ du Ob) J=…

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Q: Find the final amount of money in an account if $3,900is deposited at 7.5% interest compounded…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 3) Find equations for the lines: a 21 g. The line through (0.-7,0) perpendicular to the plane…

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: Solve the given differential equations: X 2. y' = , y(0) = -2 y+x²y

A: To solve the given differential equation.y'=xy+x2y, y0=-2

Q: Explain in words how to evaluate the derivative of function?

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Q: Confirm that the integral test is applicable and use it to determine whether the series converges.…

A: a)  ∑k=1∞17k+2b) ∑k=1∞11+16k2

Q: Find the exact value of each of the remaining trigonometric functions of 0. cos 0 = - 4 5 0 in…

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Q: Graph the following function. Show at least two cycles. Use the graph to determine the domain and…

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Q: Find the given limit. 2 X-4 lim 7-x X--7 Select the correct choice below and, if necessary, fill in…

A: Find the limit

Q: Let S = { 1 − (−¹)ª | n € N}. Determine inf S and sup S. Justify. (-1)" n

A: Given : S=1--1nn|n∈N   To Find : inf S and sup S

Q: Find an equation for the graph shown to the right. Type the equation in the form y = A sin (@x) or…

A: Given

Q: Q3) Find the integration by using Partial fraction method Y x² + 2x + 1 (x² + 1)² dx

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Q: The result of A-(B x C)+ Ax (B.C) may be: × O 21+3j O D 21+2j-k O

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Q: Find the general solution of the given differential equation. y’’+6y’+3y=0 topic: complex roots of…

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Q: Find the directions of maximum and minimum change of fat the given point, and the values of the…

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Q: 1) Compute the value of representation √√√√3-i in exponential representation and polar

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Q: For the function f(x): - 5x² + x - 7, evaluate and fully simplify each of the following. f(x + h) =…

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Q: 9. g. lim t-∞ t→-8 6t²+t-5 9-2t²

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Q: Use Simpson's Rule with n = 10 to estimate the arc length of the curve. Compare your answer with the…

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Q: Q4/ 1- Evaluate: f/2fy sinx dy dx ди 2- If u = x² + ey² ,x= sin 2t , y = cost² find at

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Q: Let R be the region bounded by the parabola y = 4x² and the line y = x + 2. (a) Find the area of the…

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Q: The Great Molasses Flood At 1:00PM on January 15,1919, an unusually warm day, a 90-ft high, 90-ft…

A: We have to solve for force exerted by the molasses.

Q: The statement (A + B) - (C' n B) = (A + C) is an identity. (Hint: draw a Venn diagram of the LHS and…

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Q: Figure #2 a: I in b: 2.5in C:2.5in Figure #3

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Q: Q6) Determine if the following integrals converge or diverge. If the integral converges determine…

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Q: f (Ina) ² da 2

A: This question is based on integration by parts.

Q: Given the function z=f(x,y)=2y³ −6xy − 3x² +2, find the following: a) Vf= b) Find all of the…

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Q: Find the integrating factor e∫Pdx then find the general solution. y' = x - 2ycot 2x

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Q: Consider the function f(x) = x²-4 x²+2x-8 (a) Find the x and y intercepts of f(x) (b) State the…

A: Explanation of the answer is as follows

Q: 2-¹ {; -} 18-7 s²+48 +9, In the process of calculating you obtain an equivalent expression given by:…

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Q: Find the area of the surface generated by revolving the curve y = 2√x, 1 ≤ x ≤ 2, about the x-axis.…

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