In the year 1985, a house was valued at $110,000. By the year 2005, the value had appreciated to $145,000. What was the annual growth rate between 1985 and 2005? Assume that the value continued to grow by the same percentage. What was the value of the house in the year 2010? Round your answers to two decimal places. The annual growth rate between 1985 and 2005 is Number %. The value of the house in the year 2010 is Number

Q: 1. Find the area bounded by the parabolas y= 4x and y'+12x = 36

A: Topic:- application of integration

Q: I. Find the Laplace Transform of the given function using the definition of Laplace Transform a.…

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Q: Find the equation for the plane through the points Po(0,2, – 5), Qo( - 4,1, – 4), and Ro(5,4, – 3).…

A: plane passing through the points P00,2,-5, Q0-4,1,-4 and R0=5,4,-3

Q: e2x Vex + 1dx

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Q: Use implicit differentiation to determine dy/dx given the equation x^5+y^2=−4

A: implicit differentiation to determine dy/dx given the equation    x5+y2=−4

Q: . Use L'Hospitalľ's Rule to evaluate lim t In 1+

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Q: Find the Taylor polynomial of order 3 generated by fat a. f(x) = x2 +x+1, a=2 O A. P3(x) =7+5(x- 2)…

A: f(x)=x2+x+1f(2)=4+2+1 =7f'(x)=2x+1f'(2)=4+1 =5f''(x)=2f''(2)=2f'''(2)=0

Q: Assume that the radius r of a sphere is expanding at a rate of 10 cm/min. The volume of a sphere is…

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Q: Given the demand function D(p)=150/p Find the Elasticity of Demand at a price of $38

A: Given, Given the demand function Q=150/p At p=38 Q=150/38 Q=75/19 We know that price Elasticity of…

Q: termine the follow a. S=dx x6

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Q: Represent the following equation in R² by a vector-valued/parametric equations: 2x² + 2y² – 2x + 2y…

A: The given equation is: 2x2+2y2-2x+2y=7...(1)

Q: The rectangles in the graph below illustrate a left endpoint Riemann sum for f(x) = (16/a) on the…

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Q: (b) w = x²y – 10y2²2³ + 43z – 7 tan(4y) dw 2xy + 43 z² – 20yz³ – 28sec² (4) dy –30y²2² dz %3! dz

A:

Q: f(x+h)- f(x) 8x3- 3–4x-2 blem #1: Using lim,»0 Find the slope of the tangent line y = h 3x+6 = -2.

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Q: 1) (3,4), (4,3) Ans. Independent

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Q: Problem #1: Differentiatef (x ) = [(4 x4 - 5 )(3 x2-9 x -5 ) ]3 and solve f (2). Solution: Reason:

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Q: The size of an unborn fetus of a certain species depends on its age. Data for Head circumference (H)…

A: We will differntiate, and find the values.

Q: a) Using the definition of derivative, calculate the derivative of the function of f(x) = /3x +1 (b)…

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Q: What are the local extreme values of the function f(x) = x' – 3x + 2? a. None of these. O b. Local…

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Q: Evaluate the following integrals. 29 – 49 dy 2+ 49 а.

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Q: 3x + 5 dx, ] (x + 1)(x – 3)²

A: ∫3x+5x+1x-32dx

Q: Find an equation of the sphere whose endpoints of a diameter are (-2,0, 5) and (-1,2, 3).

A: To find the length of the diameter use the distance equation Therefore, D=-2-(-1)2+0-22+5-32…

Q: I. Evaluate each of the following iterated integrals. T/2 csiny Jo

A: Given ;∫0π2∫0sinyx1-x2dxdy

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A: Since you have posted multiple questions which are not interlinked so i can do first question as per…

Q: ||1+ Vx dx

A:

Q: Problem #5: In the equation f(x) = e* In(5x)– e*+2 +log(e²x* find f '(3).

A: Given query is to find indicated derivative.

Q: 12 · x2 – 28 · x + 20 A B Let f(x) The partial fraction decomposition of f(x) where A, B, C E Z. (x…

A:

Q: (iv) 15-22 dr. u = (v) S 15 · T/9 – x² dx. 9-z (vi) J +15 da. u=

A: iv) 15x2/sqrt(9-x2) v) 15 pi sqrt(9-x2) vi) 9x/(x2+15).

Q: The function 3 satisfies the hypotnes Find all values of c that satisfy the conclusion of the…

A: Topic:- application of derivatives

Q: nd the sum of the following series. If it is divergent, type "Diverges" or "D". 3n 5"n! nswer. ote:…

A: To find the sum of the series.

Q: Evaluate: L-1 1 S2s-9) 2+2. th CamScanner

A: Let's find.

Q: sin 3x cos“ 3xdx

A:

Q: Find the sum and express the answer in its lowest term. 3 =N 4 10 1) 9 3 2) + 13 6. 4 3) + + 7. 9.…

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Q: 1. S Vcos 20 sin 20 d0 x²-x 2. S- dp- (x+1)

A: To  evaluate the integral.

Q: sin(x²) ate lim 1+0- e2r – 2x – 1°

A: zero by zero form then apply L hospital rule

Q: 7. The sides of a square are measured to be 4 in, with a possible error of = (4) in. Estimate the…

A: We have to find the possible error and rate of change.     According to our guidelines we can solve…

Q: Evaluate the integral dx by first using the substitution u = e (e - 1)(e +1) to convert the integral…

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Q: Find the equation of the fangent line to the graph of the function f (z) sin (3,/7) at the point…

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Q: Question 5 of 13 On what instance does the Chain Rule of differentiation applicable? Explain…

A: In this question we have to find on which instance does the chain rule of differentiation…

Q: cos(3x) dx

A: answer is in next step

Q: d.x | – 2x² + 1 b.

A: To evaluate: I=∫x5x4-2x2+13dx

Q: inst /3. 2x2 + 3x, where both z and x are both functions Suppose that z = 9x Given that x is…

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Q: Find all the second order partial derivatives of the given function. -y? f(x,y) = xye O A. 2f = 2xye…

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Q: 72 a, =6, a,. 1+an

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Q: dªy d³y -4. dx4 „d²y -6· dy dx3+ 7 + 2y = e-* + xe¬× dx dx2

A:

Q: Graph each parabola. Identify the vertex, focus, directrix, endpoints of the latus rectum, and the…

A: The given equation is: y2-12y-16x-28=0⇒y2-12y+36=16x+28+36⇒(y-6)2=16x+64⇒4(4)(x+4)=(y-6)2 which is…

Q: 4. (D2 – 5D + 6)y = 15sinx – 15cosx -

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Q: Integrate f(x.y,z) = x+ Vỹ - z° over the path from (0,0,0) to (1,1,1) given by C,: r(t) = t i+t°j, 0…

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Q: (i) B(2,3)-

A: