find the values of the trignometric functions of t from the given information tan(t) = -5/12, sin(t) > 0 find sin(t), cos(t), csc(t), sec(t), cot(t)

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

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Q: For the following telescoping series, find a formula for the nth term of the state that the series…

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Q: A box with a square base and open top must have a volume of 62,500 cm3. Find the dimensions of the…

A: Given :For square base, side = x cmThen area=x2 cm2Given, volume of open top box=62500 cm3

Q: Write the first four terms of the sequence Sn = (−1)n+1 2n+1

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Q: A stone is thrown straight up from the edge of a roof, 975 feet above the ground, at a speed of 20…

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Q: Suppose that f(x, y) = D y 1+x at which {(x, y) | 0 < x < 1, − x ≤ y ≤ √T}. Then the double integral…

A: The given function is: f(x, y)=y1+xThe region D is given by:D= x, y | 0≤x≤1,  -x≤y≤x

Q: 3. f xsin(x²)dx √1+cos(x²)

A: Topic = Integration

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Writee the first expression in terms of the second if the terminal point determined by t is in the…

A: tan(t) = sin(t)cos(t). sin2(t) + cos2(t) =1

Q: Sketch the ellipse, and label the foci, vertices, and ends of the minor axis. © (b) (x+3)² +4(y-5)²…

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Q: A particle moves along the x-axis with velocity given by v (t) = 4 sin (2t) for time t ≥ 0. If the…

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Q: a. Find the eigenvalues and eigenvectors of the matrix b. Solve the system of differential equations…

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Q: Suppose a. This system of linear differential equations can be put in the form Y' Determine P(t) and…

A: Given that , t+6y1'=9ty1+9y2        ,      y11=0t-5y2'=8y1+4ty2       ,      y21=2

Q: If there is more than one solution, use a comma to separate your answers. Express your answer(s) in…

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Q: The picture below shows the graph y = f'(x) of the derivative of a function y = f(x). For each of…

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Q: At exactly two of the labeled points in the figure below, which shows a function f, the derivative…

A: The figure given is

Q: iven by rearranging the order of integration t 1-y e2-2² dz dx dy

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Q: (y + √√√x² + y²)dx-xdy = 0 x2 when x = √3, y = 1 I

A: The given homogeneous differential equation can be solved by putting y=vx

Q: A body falls in a medium offering a resistance proportional to the speed at any time. If the…

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Q: Consider the initial value problem, 9x2y′′+3xy′+y=0,     y(1)=1,    y′(1)=0 Determine the value of…

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Q: Find Sn for the given arithmetic series. a₁ = -74, d = -3, n = 20

A: Solution: Given: a1=-74,  d=-3, n=20

Q: Find the volume of the solid bounded by the paraboloids z = - 7+² + y² and z = 4- - y².

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Q: Consider the function f(x) = = 8 x² 10 190/2 5 x6 Let F(x) be the antiderivative of f(x) with F(1) =…

A: Topic = Integration

Q: Evaluate the following integral over the Region R. (Answer accurate to 2 decimal places). 4(1-2² -…

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Q: Find the critical points, domain endpoints, and local extreme values for the function. y=x4/5 (x+1)…

A: The solution is given below

Q: at the graph of f(x) passes through the point (10, 4) and that the slope o ) is 2x + 7. what is…

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Q: Condense the following expressions into a single logarithm by applying the properties of logarithms.…

A: Topic - Logarithmic equations  we are given,…

Q: Show that the function r(0) = sec 0 - +5 has exactly one zero in the interval 0, 83 r'(0) = Can the…

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Q: 6. If f f(x) dx = 10 and ₁ g(x) dx = 6, then [2f(x) - 3g(x)]dx is

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Q: Use a convergence test of your choice to determine whether the following series converge or 8 Σke…

A: According to question,Given Series,∑k=1∞ ke-k2

Q: ← 1 5+2x -=-(- ₁ -/-) ₁ Let f(x)= a. Use the following definition of the slope of the tangent line…

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Q: Show all work, give thorough explanations, and state what series convergence test you are using to…

A: As per the guidelines, I am supposed to do the first question among multiple questions. To get the…

Q: 5. Find the sum of the areas of approximating rectangles for the area under f(x) = 48 - x², between…

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Q: 10. Solve the higher-order nonlinear DE shown below and solve for x as a function of y. Take the…

A: y" +my2 = 0 given we have to find the solution of this differential equation this is the question of…

Q: Let s(t) = t3 - 30t2 + 18t + 47 be the position function of a car moving along a horizontal line,…

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Q: Evaluate the given by converting it to a spherical coordinate. L -2 JO 16-x²-y² 3x²+3y² y dz dy dx

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Q: A rotating light is located 20 feet from a wall. The light completes one rotation every 5 seconds.…

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Q: 3dx x(x+3) D. Evaluate :

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Q: xp 6

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Q: a) 023 = 8 b) 023 = 4 [13-27 A-2 7 04 c) 02-0 Qu

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Q: Solve 3b, thanks!

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Q: Find r, T, N, and B at the given value of t. Then find the equations for the osculating, normal, and…

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Q: Evaluate the following integral over the Region D. (Answer accurate to 2 decimal places). 1.…

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Q: Determine whether the following function is continuous at a. Use the continuity checklist to justify…

A: Here is the solution:

Q: Divide using long division, write remainder as fraction (if remainder occurs): (x^4 -5x^3 + x^2 +…

A: To divide the given polynomial by long division method.

Q: Fari File Edit View History Bookmarks Window Help la Crawford : 12 66.66% S 2 3 4 6 7 8 10 11 12 4)…

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Q: 10. Solve the higher-order nonlinear DE shown below and solve for x as a function of y. Take the…

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Q: Use a convergence test of your choice to determine whether the following series converges or…

A: Given query is to find series converges or diverges.

Q: D15 UT Determine the range for r and then the range for 8. Ob с -1 -2- Od -1

A: Given query is to find the correct graph:

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

A: We have to find the limit of the function:  x2x2x-1 at x approaches to 0.