A math teacher won a lottery that pays $1,000 per month for the next 20 years. But, he prefers to have the entire amount now. If the interest rate is 8%, how much will he accept? Answer in whole number.

Q: a B sin(A) = cos (A) = Note: Triangle may not be drawn to scale. Suppose a = 9 and b = 2. Find an…

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Q: Find the inverse function and graph both f(x) and f(x) on the same set of axes. Check your work by…

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Q: Explain why the integral is improper. 100 1 10 X 1.4 converges diverges 1.2 1 y 0.8- 0.6 dx 0.4 0.2…

A: To find the value of an improper integral, convert the integral in terms of limits. If the resulting…

Q: Find the Laplace Transform of f(t) = te cos(3t) (A) B D s+1 s² (s+ 1)² +9s² = ((5+1) ²+9) S s²…

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

Q: Write an equation for the function graphed below -7 6 5 4 -3 -2 y= 50 on it'st 72 3 Q

A: Topic = Functions

Q: a ht C1 For the function f(x,y) = 4x² + 7y², find the following. a. b. f(x+h,y)-f(x,y) h…

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Q: 2) Express 100C50 as a sum of two terms from Pascal's triangle.

A: Let us find thatThe  100C50 as a sum of two terms from Pascal's triangle.we know that the formula of…

Q: (a) Determine whether the series n=1 n+1 n³ +3 is convergent or divergent.

A: Solution: ∑n=1∞n+1n3+3

Q: Solve the differential equation by variation of parameters. y" + y = csc(x) y(x) = c₁cos(x) +…

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Q: -y(2x+y) x(x+2y) - y'=-

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Q: Evaluate the integral of x cos 2x dx with limits form 0 to pi/2. (A) -3/4 B 0.75 C -0.5 D 1/2

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Q: el For the function z = f(x,y) = - 4x³ -6y² - 7xy, find t V ne ON dz dx dz 3x forr || f(-5,4)=…

A: The given function is: z=fx,y=-4x3-6y2-7xy   As we know that; The Power Law: ddxxn=nxn-1

Q: Find the vertical asymptotes of the function Then graph the function. Y x² +1 3x - 2x²

A: The given function is y=x2+13x-2x2

Q: 1) Solve the following ODES by Undetermined Coeff. ● 4X 11 X y - 16 y = 19.2 € + 60e, y(a) = y() -4X…

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Q: If cos x = 5/11 and the terminal point of x is in Quadrant IV, what is sin x

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Q: Find the gradient of the function at the given point. g(x, y) = 12xe/x, (12, 0) Vg(12, 0) =

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Q: n zise me gebrac ve do chang Find the extreme values of the function and where they occur. y = x³ -…

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Q: Find the radius of convergence and interval of convergence of the series n=1 (x - 5) n n5n

A: Radius and interval of convergence

Q: 5. It was noon on a cold December day in Tampa: 16°C. Detective Taylor arrived at the crime scene to…

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Q: Solve for t, 0 < t < 2π 14 sin(t)cos (t) = 8 sin(t) t = 0.96,5.32 Give your answers accurate to at…

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Q: Find a possible formula for the trigonometric function whose values are in the following table. y =…

A: topic- trigonometric function

Q: (e) Find the linear approximation of the function f(x, y, z) = x³ √√y² + z² at the point (2, 3, 4)…

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Q: Solve the following ODES by Undetermined Coeff D Ş 17 4X y - 16 y = 19.2 € + 60e, y(a) = ý (0) -4X…

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Q: 1. DIFFERENTIAL EQUATION (2y³ + 4) dx = (6-2xy²) dy

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

Q: If r(x) = -cos (x + 9) +7, determine the antiderivative of r(x). (Do not include the constant C'in…

A: In this question, we want to find the antiderivative of the given function r(x).

Q: Sketch the vector field F. (Select Update Graph to see your response plotted on the screen. Select…

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Q: 4 n=n? + 2n 1 4. Σ -(x-3)"

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Q: Find the gradient of the function In(x² − y) – 1, X Vz(2, 3) = Z at the given point. (2, 3)

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Q: x = est, y = to (a) Find dw/dt by using the appropriate Chain Rule. dw dt W = X- (b) Find dw/dt by…

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Q: For the given differential equation, what is the a) order, b) degree of the differential equation,…

A: The given differential equation is d3ydx35-7xd2ydx23+5dydx=11ey

Q: how long will it take for the money in an account that us compounded at 8% interest to quadruple

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Q: Estimate the area under the graph f(x)=1/(x+3) Over the interval (-2,1) Using 8 approximating…

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Q: 9. Consider the function y = 22 with derivatives 2(6-2) dr² Find any horizontal asymptotes of the…

A: Concave Up , if the second derivative is positive . Concave down , if the second derivative is…

Q: Determine the graph of the equation. -x² - y² =z Choose the correct graph of the equation. O A. at…

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Q: 12 0 6 <<← ?° Q

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Q: Find the absolute extreme values of the function on the interval. F(x)= == 3 21 0.5≤x≤2 OA. absolute…

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Q: Consider the following differential equation to be solved by the method of undetermined…

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Q: Find an equation of the line tangent to the following curve at the point (a,f(a)). f(x) = 8 ex + 5x;…

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Q: Find equations of the spheres with center (2, -3, 5) that touch the following planes. (a) xy-plane…

A: As per our norms we have to write one question at a time kindly repost remaining questions.

Q: Write the given differential equation in the form L(y)- 90x), where L is a linear 4y"-15y4ys…

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Q: Find the derivative of the following function. f(x) = sinh 16x

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Q: Integrate using the method of trigonometric substitution, express the final answer in terms of the…

A: In this question we have to solve the Integration. Trigonometry Identity Used:-…

Q: Determine csc(x) + cot (x) if tan x + sec(x) = 22/7. 27/12; 29/15; 24/18; 23/11

A: We can answer the question by finding the correct option as below.

Q: 2 Solve the following ODES by 1.2 • ý -2y +y = e sinx Inverse Operator method X X Anse y=cie +…

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Q: An exponential function f(x) = ab passes through the points (0, 3) and (3, 375). What are the values…

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Q: According to Fermat's Theorem: If f has a local maximum or minimum at c, and if f'(c) exists, then…

A: To give two examples (one of each) of specific functions f and values of c that demonstrate the…

Q: Find the general solution of the given second-order differential equation. 2y" - 5y' + 6y = 0 y(x) =

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Q: lim x→5 3x |x-5|

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