03: Evaluate the following integrals: E In(x-1)(x-3) -dx x²-4x+3 (3) S

Q: Find the particular anti derivative that Satisfies the following conditions dy 4x +3 ; y(1) = 8 dx…

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Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

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Q: dx x² + 10x + 30 X2

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Q: Use trapezoidal rule to approximate the integral fex dx.

A: Follow the procedure given below.

Q: How much money should David invest today into a fund that earns interest at 3.50% compounded…

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Q: X (A) (2) +²2+ (x²+5)) 2x dx + (x+y)dy = 0 - 40 + (8 +)

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Q: What is the measurement of the largest angle in AABC such that a = 52 cm, b = 46 cm, and c = 31 cm?…

A: The largest angel is the angel opposite to the largest side of triangle.

Q: Consider a trough with the shape below. 2 m 5 m 8 m It is full of water, which has a density of 1000…

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Q: A movie stuntman receives an annual salary of $110,000, but becomes a quadriplegic after jumping…

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Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

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Q: Find the accumulated future value of the continuous income stream at rate R(t), for the given time…

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

Q: Find the accumulated future value of the continuous income stream at rate R(t), for the given time…

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Q: 11+22=

A: Topic = Algebra 11+22=33

Q: What are the first five terms of the following sequence? a₁ = 25, an an-1-5 O 5, 10, 15, 20, 25 0…

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Q: 2л ind an equation of the tangent line to f(x) = 7 cos(x) at x = 3 Let y = f(x) and express the…

A: Given query is to find the equation of the tangent to the curve.

Q: The 2000 census in a particular area gives us an age distribution that is approximately given (in…

A: Age distribution that is approximately given by the function,fx=40.3+2.17x-0.702x2

Q: Find the accumulated present value of a continuous stream of income at rate R(t) = $233,000, for…

A: We have to find the present value.

Q: Compute the derivative. y = cos (te-61) (Express numbers in exact form. Use symbolic notation and…

A: y = cos(te-6t) here we use chain rule and derivate the equation  with respect to t

Q: dy Assume x and y are functions of t. Evaluate dt 3 2 dx y = 2x + = 2x² +6; dt = 4, x= 1, y = 2…

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Q: 1). 8. Determine the Cartesian equation of the plane that contains the line 7=(2, 3, 2) + t(1, 1,…

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Q: Does the geometric sequence converge or diverge? Explain. 40,-10, 2.5, -0.625,...

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Q: Graph the curve whose parametric equations are given, and show its orientation. Find the rectangular…

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Q: Find laplase 4-f(t)=e²¹.t³.

A: In this question we have to find the laplase of the following function.

Q: What is the accumulated value of periodic deposits of $3,500 made into an investment fund at the…

A: Given problem:- What is the accumulated value of periodic deposits of $3,500 made into an investment…

Q: Determine the angle between 0 and 360° that is coterminal with -440°. 280 O 180 O 100 O 80

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Q: At which angle is cos Ⓒ =-1? 0 O 2 OTT

A: Given query is to find measure of the angle.

Q: 3- If √secx + 5cosx find y

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Q: Given that (x - 5)² is a factor of P (x), and that a = 2, find the values of b and c.

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Q: Find the area K of the triangle specified below. a = 19, b= 19, c = 19

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Q: Part 2. Find the Standard Equation 3. hyperbola with vertices at (-2,-4), (-2, 6), foci at (-2,-5),…

A: Given,  Vertices: (-2, -4), (-2,6), Foci: (-2, -5), (-2, 7)

Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

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Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: 05: Solve the following system of equations by Gramer's Rule. 2x - 4y 0 x+y+z=1

A: Use Cramer rule to solve the system

Q: Evaluate by interperting in terms of area, Find the area 4 I 15x-31dx

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Q: Solve: d²y/dx² +6 dy/dx +13y=0; y(0)=3, y'(0)=7 Write the letter corresponding to your answer. The…

A: Option C

Q: Apply the eigenvalue method to find a general solution of the given system. Use a computer system or…

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Q: Evaluate the indefinite integral. -3.5 - 15t - 3t-¹)dt (-15-35-3t-1)dt = 1 4 +²√t - 2 In t+c (Type…

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Q: Solve: 9 d²y/dx² -24 dy/dx +16y=0; y(0)=3, y'(0)=3 Write the letter corresponding to your answer.…

A: We have to solve given Questions.

Q: A hyperbola centered at (7, 0) has a focus at (7, 5) and vertex at (7, 4). Which is the equation of…

A: A hyperbola centered at 7,0 has a focus at 7,5 and vertex at 7,4.

Q: y = tan-¹(¹+x) -1

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Kiara invested her savings into a Registered Retirement Savings Plan (RRSP) at an interest rate of…

A: This question can be solved using the concept of compound interest.

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10…

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Q: Calculate the derivative. 5t ƒ"(1),_ƒ(1) f(t) = 1+1 (Give an exact answer. Use symbolic notation and…

A: see the answer and calculation below

Q: If y₁ and y2 are linearly independent solutions of ty" + 4y' + te³y = 0 and if W(y₁, y2)(1) = 3,…

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Q: Consider the functions. f(u) = u + u g(x) = cos(x) Find the following function and derivatives.…

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Q: Suppose y is a function of x. Find dy/dx. (a) g(x) = x + 1/x − 1 (using the definition

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Q: What is the sum of the infinite geometric series? 25-10+4-+ The series diverges. NIG 5 0 50 125 7 87…

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Q: Find the area bounded by the given curves, or as described. I. Sketch the graph II. Find the…

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Q: A movie stuntman receives an annual salary of $110,000, but becomes a quadriplegic after jumping…

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Q: Find the limit of the function lim x² 3x +2 X-1 X-A

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