Given the triangle below, find sin(0). Enter the answer as a fraction. 17 15 0. 8

Q: Find a solution for y in terms of x that both satisfies the differential equation and passes through...

A: We have to find the solution of differenrial equation

Q: Statement Equation X and inversely as cube of W. z = KM³N the product of r and t and inversely as W ...

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Q: IV. Find the equation of a line passing through (-1,4) and perpendicular to the line x+5y-4=0. V. Fi...

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Q: The demand function for beer is given below, where p is the retail price and  D(p)  is the demand in...

A: The demand function for beer is given below, where p is the retail price and  D(p)  is the demand in...

Q: Find the equation of the surface of revolution generated by rotating the part of the curve z= Sen (y...

A: Since there is no Sen function existed in math, the problem has been solved assuming the given curve...

Q: What is the equation of the tangent line to the function y=x²-1 at a point (2,3)?

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Q: Given the following matrix and its eigenvalues -2 3 has eigenvalues R, = -3 and R, = 7 3 6 1. Find t...

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Q: ſ csc' xdx

A: Solution is written in below steps.

Q: Consider the funetion 1) Find the domain of glx) 2) Find lim g(x) and limg(x). 3) Find oblique asymp...

A: Solution: Given data ,  g(x)= 2√(x2+3x)

Q: Question Given the triangle below, find tan(0). Enter the answer as a fraction. 53 28 45

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Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural...

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Q: 3sin(x) lim tan(2x)

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Q: A rectangular prism with dimensions 6 m × 4 m × 8 m (l×w ×h) is shrinking. (a)  Assume that the leng...

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Q: d. If a rational function has a finite limit as x , then it must have a finite limit as x 43. Explai...

A: Topic:- calculus

Q: Write the first five terms of the arithmetic sequence. a1=3, d=6

A: Let's five terms of arithmetic sequence are a-2d,a-d,a,a+d,and a+2d Then a-2d=3 ,d=6 a=3+2×6=3+12 a=...

Q: Use differentials to estimate the amount of material in a closed cylindrical can that is 10 cm high ...

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Q: Use the function below to answer the following questions. m(x) = - -5 (a) Use transformations of the...

A: Solving the problem by finding the domain,range and asymptotes.

Q: Q9/ Find the centroid of the region enclosed by the cardioid r = 1 + cos 0.

A: 5/6 centroid

Q: Which of the following is another point on the tangent line of f(x) = x³ at the point (1, 1)? (3, 6)...

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Q: C: Proof that (Answer one only) S a)L (cos?t- sin²t) : %3D s2 + 36

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Q: 2х-1 dx 3 A 2x– 1) 2 1 -(2x- 1)2 + C 3 1 (B) (2x- 1)2 + 등(2x-1)2 + C 10 3 (2x-1)2 + 10 (2x-1)2 + C 3...

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Q: 2x x² – dx 2 — Зх — 10 3.x

A: Given ∫2x-3x2-3x-10dx We know that dxndx=nxn-1 Also, ∫1xdx = lnx+C

Q: The monthly costs for a small company to do business has been increasing over time due in part to in...

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Q: Let the region R be the area enclosed by the function f(x) = x°, the horizontal line O and x y = -3 ...

A: To find: The volume of the solid. Given information: Let the region R be the area enclosed by the fu...

Q: 2x² +3 dx x(x – x(х — 1)2

A: Find your answer below 

Q: To evaluate the integral V-x² + 9 xp- which of the following substitution should be used? Select one...

A: ∫-x2+9xdx

Q: Use the change-of-base formula and a calculator to approximate the given logarithm. Round to 4 decim...

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Q: . Use the Chain Rule to show that if 0 is measured in degrees, then werl d (sin 0) = de T cos 0 180 ...

A: Topic:- application of derivatives

Q: B. find the slope of the tangent to the curve at the given point 1. y= x-6, (1, - 2) 2. y = 3x -5x. ...

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Q: 3 situations that could represent functions

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Q: B. Apply the quotient rule to find the derivative 1. y 4-7x 3. y = 5- 3x

A: From the quotient rule of derivative we get Let,  y=uv where u and v is function of x then dydx= vdu...

Q: dy given the equation z + y° = e. dr Use implicit differentiation to determine dy dx > Next Question

A: Given query is to find the derivative of the expression.

Q: Which of the following would represent the equation of the graph that passes through the point (8, 9...

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Q: +00 2" Use an appropriate test to determine if the series converges or diverges. n+ en n=1

A: Here we have to use appropriate tests to determine if the series ∑n=1∞2nn+en converges or diverges. ...

Q: valuate the triple integral. 6xy dV, where E lies under the plane z = 1 + x + y and above the region...

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Q: For each function, determine whether it is a polynomial function. Is the function a polynomial? Func...

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Q: Find the value of a so that the function f(x) = xe has a critical %3D point at x = =D3. NOTE: Enter ...

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Q: Determine whe ther the series is Convergent or divergent.write the exact test that you Use. n=2

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Q: et f(x) = x³ + 4x. Using fact that f(2) = 16 find (f-1)'(16)

A: Topic:- application of derivatives

Q: Specify the unit vector extending from origin toward the point G(2,-2,-1). Graph a vector V in the s...

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Q: Given the matrix and its eigenvalues -12 has eigenvalues R, = -1 and R, 1 -5 = - 2 %3D Find the new ...

A: We have to find Matrix A1 and A2

Q: Suppose that f(z, y) is a smooth function and that its partial derivatives have the values, f-(-8, -...

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Q: Properties of Inverse Matrices If A is an invertible matrix, k is a positive integer, and c is a non...

A: we will use the property,  (AB)T = BT AT   and  AA-1 = I   

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. After ...

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Q: Consider the indefinite integral *7x³ + 9x² + 12x + 24 -dx x4 + 4x2

A: Given,            ∫7x3+9x2+12x+24x4+4x2To find : The partial fractions decomposition.

Q: A ball is thrown into the air with an initial velocity of 32 feet per second, from a height of 100 f...

A: Given query is to find the time taken for ba to hit the ground.

Q: C. Apply the chain rule to find the derivative 1. y = (8 - 3x )3 3. y = (1-x)7 2. y = V2x + 1

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Q: Find the following using the table below. 1 2 3 4 f(x) f'(x) g(x) 3 1 4 2 1 4 2 3 4 1 4 2 (x),6 3. 2...

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Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular...

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Q: ya + yi = 1, when x = 0, y = 4 dy = cos(x + y), when x = 0, y = dx

A: Firstly we arrange the differential equation and after that we separate the variables and integrate....