Solve the right triangle with hypotenuse 28 and one of the acute ngles 42°.

Q: 2x²+5 1. Answer the questions below and then graph the rational function: f(x) = x²+x-2 a. Vertical…

A: To find out the vertical asymptote, vertical asymptotes and also make the graph.

Q: In the following problems you will find the limit of a function numerically (i.e. from a table).…

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Q: Write an expression in factored form for the polynomial of least poss 5+ 3 W 1 2 3 4 5 -2+ -3 -5 -4…

A: We have to write the polynomial in factor form from the given graph of polynomial

Q: Find dw/dt using the appropriate Chain Rule. w = x² + y² x = 3t, y = 8t (No Response) dw dt

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Q: Differentiate implicitly to find dy/dx. sec(xy) + tan(xy) + 10 = 1 (No Response) dy dx

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Q: (c) f(x) > 0 The solution set is (-2, 0) U (4, 00) (d) f(x) ≥ 0 The solution set is 10.01 (0,0)…

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Q: Determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. -2t y"…

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Q: t².edt J (P)

A: Solve the following

Q: Using Trapezoidal Rule, with n = 10, approximate the ntegral below. Give the error of approximation…

A: To solve the following problem using trapezoidal rule

Q: Given the function g(x) = 8x³ + 12x² − 288x, find the first derivative, g'(x). g'(x)= Notice that…

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Q: . A rectangular pen is built with one side against a barn. If 2300 m of fencing are used for the…

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Q: nd the solution of the given initial value problem: ) = || y(4) + 2y"" + y″ + 8y′ − 12y = 12 sin(t)…

A: The solution is given below

Q: O t-sin(t)

A: the answer is t-sin(t)  provided the solution below with steps in step2

Q: if x - 5 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = Let f(x) =…

A: This is a basic limit problem

Q: It has been determined that the cost of producing x units of a certain item is 10x + 363. The demanu…

A: To find the revenue function, while cost and demand function of the product is given

Q: A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles.…

A: Solution is given below:

Q: Suppose you need to know an equation of the tangent plane to a surface S at the point P(3, 1, 3).…

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Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: We have to find the slope of the tangent line to the polar curve  r = cosθ3 at the point θ=π.

Q: Find the solution of the given initial value problem: y (4) + 2y" + y = 9t + 4; y(0) = y′(0) = 0,…

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Q: /2 (e) [™¹², sin(x) cos(x)dx

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Q: Evaluate the following integral. 2 3x² dx (16+x²)²

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Q: Solve: 20 tan² (0²) de a. O b. O c. ✓d. sec(0²) - 0 sec(0²) - 0² tan² (0²) - 0 tan(0²) - 0²

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Q: The total stopping distance T of a vehicle is shown below, where T is in feet and x is the speed in…

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Q: True or false? An inner product is a scalar-valued function on the set of ordered pairs of vectors.…

A: Given question:- True or False?

Q: You are a corporate attorney who earns $300 for each hour you work. You want a vegan poutine. The…

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Q: A ball is dropped from a height of 10 feet. Each time it drops h feet, it rebounds 0.81h feet. Find…

A: Let's find total distance traveled by the ball.

Q: Find the directional derivative of the function at P in the direction of Q. g(x, y, z) = xye⁹², P(2,…

A: Given :gx,y,z=xye9zP2,2,0, Q0,0,0

Q: Find the general solution of the differential equation. y (4) + 4y" + 4y = 0. NOTE: Use C₁, C2, C3,…

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Q: waluate the following integral. 2 3x dx (16+x²)²

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Q: Graph the function. Plot at least 4 points. For vertical asymptotes, make sure there are at least…

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Q: Given the integral expressions for F and G below, select all statements that are true. F = [₁² (5x²…

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Q: Express the function f(x)=(1+x)/((1-x)^2) as the sum of power series.

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Q: 3. Let S be the surface defined by the vector function (2e" sin v, 2e" cos v, u²+u), Find an…

A: We are given in our question a surface S defined by vector function R(u, v) = <2eusinv, 2eu cosv,…

Q: Evaluate the limit: lim 2-8 x² - 12x + 32 2-8

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Q: Evaluate the following definite integral. 5 dx 2 0 √x + 169

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Q: The cost of producing 420 calculators is $2320. Producing 580 calculators would cost $3120. Step 1…

A: The cost of producing 420 calculators is $2320. Producing 580 calculators would cost $3120. To find…

Q: (b) x-2º dr

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Q: Solve the initial-value problem. +3dy + 3t²y = 8 cos(t), y(t) = 0 dt

A: We have to solve this initial value problem.

Q: Find the average rate of change of g(x) = - 4x³5 from = - - 3 to x = 1

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Q: A circular plate with radius 9 m is submerged vertically in water as shown. Express the hydrostatic…

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Q: QUESTION 1 Consider f(x)=x²+2x+1. Which of the following is true? Of is continuous at all C; given…

A: Let's solve.

Q: 1. The point (-2, 5) lies on the circle whose center is at (-1,-3). Write the standard form of the…

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Q: If f(x) = 3x²-3x + 2, find f'(1). Use this to find the equation of the tangent line to the parabola…

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Q: 3. Find the slope of the tangent at x = 1 for y = ln(2x + 3) a) 2 b) = d) In(5)

A: As per Bartleby guidelines rule I am answering only first question as both question are different…

Q: Write the first five terms of the recursively defined sequence. 12 ak 2² a₁ = 4₁ ak + 1 Step 1 Note…

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Q: Evaluate 2 Lg(t -3 g(t) dt.

A: topic- definite integral

Q: Complete detailed solution. What is the equation of the tangent line at x=1of f(x)=1-2x

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Q: Find y as a function of t if 9y" +12y + 29y = 0,

A: Given :9y''+12y'+29y=0

Q: Find the solution of the differential equation that satisfies the given initial condition. x In(x) =…

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Q: Use a graphing utility to approximate (to three decimal places) the solutions of the equation in the…

A: Using ÷ cscx=1sinx   1sin2x-8=0 1sin2x=8 sin2x=18 Now taking inverse and finding values of x we get…