Question Find the volume of the solid obtained by rotating the region bounded by y=3x2, x=1, x=3, and y=0, about the x-axis. Submit your answer in fractional form.

Q: How many cycles are in this graph: a 02 3 01 2 1 3 5 b 1 1 d

A: We find the number of cycles in the following graph:

Q: TU x² So √x²+4 dx

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Q: Find an equation for the tangent line to f(x) = xe²x at x = -1

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Q: Find all possible functions with the given derivative. y' = 7+ 4

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Q: Find az/ax and dz/dy. xyz + cos(xy) - 2y sin(x) + z² = 3 Find az/ax and dz/dy. exz ZX y

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Q: Given: (x is number of items) Demand function: d(x) 2420 √I Supply function: s(x) = 5√√x Find the…

A: Demand function: d(x)=2420xSupply function: s(x)=5x

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) (VSt) 5t cos 5t dt

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Q: Find the angle between the vectors in radians and in degrees. u = 9i + 7j + k v = 7i - 9j (a)…

A: The objective of this question is to find the angle between two vectors in both radians and degrees.…

Q: f's domain. x f(x) a b C d 1 2 4 8 Determine if f is invertible. O Yes, f is invertible. O No, f in…

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Q: Let y = f(x) be a twice-differentiable function such that f(-1)=5 and dy=(xy² + 4y)². What is the…

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Q: Use the substitution formula to evaluate the integral. T. √ cos 2 (0³/2) de T. 0 (Type an exact…

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Q: a. Find the value of a for which the matrix A is singular, A = [97] b. Find the inverse matrix B-¹…

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Q: True or False, and explain why showing all steps. The function f (x,y) = x2 + y2 has a global…

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Q: Find the standard form for the equation of a circle (x-h)²+(y-k)² = ² with a diameter that has…

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Q: 12. Suppose that a department contains 10 men and 15 women. How many ways are there to form a…

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Q: ************** Evaluate the expression under the given conditions. sin(20); sin(0) = 1,0 in 0 in…

A: .In second quadrant, only sine and cosecant are positive.

Q: Verify that (cotx-cscx) (cotx+cscx) + 1 = 0.

A: (cotx-cscx)(cotx+cscx) + 1 = 0.

Q: a. Find the open intervals on which the function is increasing and decreasing. b. Identify the…

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Q: 1. A particle moves along the x-axis so that its velocity at time t is given by v(t) = t = 0, the…

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Q: 10 Find the derivative of: 4√ Type your answer without fractional or negative exponents. Use sqrt(x)…

A: Explaination of the answer is as follows

Q: Use the given graph of y = f(x) to evaluate the following.

A: given graph of f(x)

Q: QUESTION #1 Find a, b, and c for the following matrix relation to be true. 1 3 21 31 4 0¹ [00] 1 L3…

A: given matrix

Q: x sin¹(x² − 7) cos (x² − ñ) dx. 58. x

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Q: Given a=37, b=32 and c=25, use the law of cosines to find angle y.

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Q: 11x¹¹ (x¹2 + 6)³ a) This can be transformed into a basic integral by letting Consider the indefinite…

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Q: 6. Evaluate the following indefinite integrals: 3x+7 a.f dx x²+6x+9 b. S 5x+6 x²-36 - dx 3x+2…

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Q: Find the total differential. 7x + yl 10z - 5y W =

A: *Note – when finding the partial derivative w.r.t one variable, other variables consider as…

Q: The equation of the hyperbola that has a center at (4, 10), a focus at (-1,10), and a vertex at…

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Q: Given a-6, b-10 and y-120°, use the law of cosines find side c

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Q: Evaluate the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

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Q: Let A be the area under y = e and above the x-axis, on [0,a]. Let B be the area under y = e and…

A: The area under a curve y = f(x) and above the x axis on [a,b] is

Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) =…

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Q: Solve the following initial value problems using the Laplace Transforms. (a) y" + 6y' + 25y = 0;…

A: Since you have asked multiple questions, we will solve the first question for you.If you want any…

Q: As a car accelerates, it does not accelerate at a constant rate; rather, the acceleration is…

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Q: 5. For 0 ≤t≤ 6 seconds, a screen saver on a computer screen shows two circles that start as dots and…

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Q: The line y+x = 2 is tangent to the graph of f(x) = sin(Ax)+ex +1 at x = 0. Find the value of the…

A: The objective of this question is to find the value of the constant A in the function f(x) = sin(Ax)…

Q: Find the area of the region. y = 81 - x4 -4 -2 y 80 60 40 20 2 4 X

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Q: Maximize p = 2x + 3y + 5z 2y + 2y + Y + Subject To: 2x + X ++ X + IA IA IA 2 3x < z 10 15 40

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Q: Use Laplace transforms to solve the initial value problems: 1. y" + 4y= 0; y(0) = 5, y' (0) = 0

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Problem 2 What region R in the ry-plane maximizes the value of √√₁ (4-20² R Give reasons to your…

A: An integral of a function f(x, y) over an area in xy-plane represents a signed volume of the solid…

Q: Find the function with the given derivative whose graph passes through the point P 2 g'(x) = - +4…

A: The given derivative funcion .The aim is to find the function for which the function passes through…

Q: 9 Consider the function f(x) = 6x⁹ + 6x7 - 7x² - 4. Enter an antiderivative of f (x). Do not enter…

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Q: Determine whether →F(x,y,z)=3x^2yˆi−yzˆj+zx^2ˆk is a conservative vector field.     Component of…

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Q: Suppose your demand function is given by D(q) = − q² − 2q + 542, where q is thousands of units sold…

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Q: Consider the following. f(x, y) = 8x 9y (a) Find f(7,4) and f(7.1, 4.05) and calculate Az. f(7,4)…

A: Consider the following.(a) To find .(b) By using the total differential   to approximate .

Q: Suppose that f(x, y) = 2x² + 2y¹ − 2xy Then the minimum is

A: Given function: f(x,y)= 2x4+2y4-2xy partially differentiating f w.r.t. x, ∂f∂x= 8x3-2y partially…

Q: -5-4-3-2 L. The function graphed above has: Positive derivative on the interval(s) Negative…

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Q: Solve the initial value problem and find y(1): yy' = xe¯²², y(0) = 1

A: Given equation:

Q: [1 Find the inverse of the matrix C = 0 12 operations. Show all your work. 0 1] 1 1 4. 1 using row

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Q: Find all possible functions with the given derivative. f'(x) = x5 f(x) =

A: Given function