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Q: 1. Assuming that one of the sides of a rectangular field is along a river bank and no fencing is…

A: In this question, we want to know the dimensions of the rectangular field that will satisfy the…

Q: Evaluate the integral by completing the square and using the following formula. (Remember to use…

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Q: dig given B) IS differentiat -0.47 Let Alt) = 10e (in milligrams) at time + where t is hours 3 after…

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Q: A ramp is inclined at 12° to the horizontal. A cart is pulled 8 m up the ramp by a force of 120 N,…

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Q: Find the tangent line(s) to the parametric curve given by z = t¹ - 9t² and y = t² at (0, 9).

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Q: Find the area of M. == Let M be the region bounded by the parabola y (0,2) (-2,0) 4 0 L N ရာ T c…

A: Given problem:- Find M be the region bounded by the parabola y=(-1/2)x2+2 and the line y = - x - 2 .

Q: y''+2y'+2y=r(t), where: r(t)={10sin2t if 0π ; y(0)=1 ; y'(0)=-5

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Q: 3x52x³ +5x² - 2 2³ +1 4. ·[3.25 da

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Q: SR(xy)dA where R is the region bounded by x=0, y=2x+1 and y=-2x+9.

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Q: 15. dx 16x* - 1

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Q: Homework Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule.…

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Q: Find the tangent line(s) to the parametric curve given by a = t¹ - 9t² and y=t² at (0, 9).

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Q: 1. Find the interest paid on a loan of $2000 for 1 year at a simple interest rate of 7% per year…

A: "According to the guidelines issued by the company we are supposed to answer only one question.…

Q: 3πt -? What is the value of Sin 4 2. What is the value of Tan 3

A: Given sin3π4            ⇒sin3π4=22=0.707

Q: 2 1 x^²({( ²² - ² - ) } L 3 S S

A: Given that,      L-12s-1s32

Q: Find the general solutions of the system. 200 14 -575x 002 x(t) =

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Q: Refer to the graph of f(x) on the interval [-2, 4] shown below. Which of the following would give…

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Q: x² + y² Briefly differentiate directional derivatives with suitable graph and equations.

A: This is a problem related to vector calculus. Based on the general formula and calculation we will…

Q: You are building a cylindrical barrel in which to put Dr. Brent so you can float him over Niagara…

A: Given problem:- You are building a cylindrical barrel in which to put Dr. Brent so you can float him…

Q: [2 + m 3 1. Given A= 1 a. (AB)¹ - A 1 2 -1 -1 4 5+ ml and B = [-1-m 2 91 3 5+m 3 0+m 6 11 Find the…

A: According to Bartleby guidelines I can only answer the first question of the given three questions.

Q: The output of a factory is changing at the rate of Q' (t) = 2t³ - 3t² + 10t + 3 units per hour,…

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Q: find ℒ{f(t)}. (Write your answer as a function of s.) f(t) = (t + 1)3 ℒ{f(t)} =

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Q: The marginal revenue for a certain company is given by the function R' (x) = 100x-1/2 where R'(x) is…

A: Given.

Q: Q4/Find x and y that make the equations equal to zero: 5x+2y-4-0 6x+8y-2-0

A: Simplify both equation for x and y .

Q: 6. [ sinxcosxdx

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Q: O =^P^-^2) TAPE 2

A: Topic:- differential equations

Q: Example Test the series Σ 11 for convergence or divergence.

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Q: Find the directional derivative Duf (2,0) where, f(x, y) = xexy + y and u is the unit vector in the…

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Q: Q1/ The volume generated by rotating the region bounded by the given curves y = √x + 1 + 2, y = 2x,…

A: Concept: The disk method: The volume of the solid created by rotating the region enclosed by the…

Q: Which relation is incorrect: a. i.j = 0 d. j.k=i b. ixj=k e. ii 1 c. ixi=0

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Q: 2. Evaluate the limit assuming that lim f(x) = 3 and g(x) = 1. x--4 (a) lim f(x)g(x) x-4 (b) lim…

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Q: ·S √ 6. dx x² - 4x + 13

A: ∫1u2+1du = lnu+u2+1+C

Q: Evaluate the integrals. x√√1-x² dx a. x X b. I si sin5 -cos-dx 3 3

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Q: Consider the function Step 1 of 3: Find lim f(x). x--6- f(x) = x²2 + 12x + 22 19x + 100 if x < -6 if…

A: Given.

Q: Using Chain Rule method Find the derivative of: 5 2. F= x³ + x² + x + 1 1. F(x) = ln Cos(x²)

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Solution: L-1 {1/s7}

Q: Suppose the weight (in pounds) of a baby boy x months old, for his first 10 months can be…

A: Given function, f(x)=1.6x+8.3 Where x is in months.

Q: y"-y-4e-x+3e2x; y(0) - 0.y(0) --1.y"(0)-2

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Q: Find the relation between backwards finite difference and average operator.

A: Given

Q: Q2: The population of a state is known to grow at a rate proportional to the number of people…

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Q: Question 12 of 12 >> Find all values of e such that the limit exists. lim x² + 6x + c x-1 (Give your…

A: The given limit is: limx→1x2+6x+cx-1 To find all values of c such that the limit exists.

Q: The number of tree species S in a given area A in a forest reserve has been modeled by the power…

A: Given, S(A)= 0.882(A)0.842 Differentiation w.r.t A we have, S'(A)= 0.882(A)0.842

Q: b) Use chain rule 1 y= LESANNE aretan u where u eª ue

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Q: The future value S of an investment earning 6% compounded continuously is a function of the…

A: Given expression of S S = f(p,t) = pe0.06t

Q: 1) Given f(x, y) = x derivative of f? which of the following is Əyox the mixed second order par f

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Q: . What is the snortest distance between the parabola y=2x² and the line y=4x-4

A: Shortest distance between two curves are always along the common normal.

Q: 8 3) If f(x)= 2 (x-1)*, then f (2) (1) = Σ k=0 a) b) 2 c) 4 d1

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Q: Q2: The equation of the tangent line to the graph of y=r2 and t=4x² at t=1 is (not that x is…

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Q: 1. Solve the following differential equations d²y_dy dx² dx — - +2y=x

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: In the 2000 U.S. Census, a small city had a population of 50,000. By the 2010, the population had…

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