Evaluate: So fixy³ dydx

Q: Give the Fourier transform of the function f. f(x) ha x € [0,₁] {* otherwise. =

A: Above question is solved.

Q: Let A= de ghi Assume that det(A)=-11, compute the following. NOTE: Enter all values exactly. (a) (b)…

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Q: (5)  Please explain in words how a student would determine the normal vector to the direction vector…

A: explanation of determination of normal vector are as follows

Q: Determine the absolute extrema of the given function on the specified interval. Show your solution…

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Q: 2. Raya Is making a closed rectangular jewelry box with a square base. She is using two different…

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Q: Consider the region bounded by y = ex+1, y = 1, and y-axis. 1.5 0.5 -1.5 -0.5 0 Which of the…

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Q: need

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Q: Use Integration by parts to solve: (3xsin(5x) dx

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Q: 1. Find the equation of the tangent line to f(x) = (x-1)² 3 (x+1) when x = 2.

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Q: nd an equation of the tangent plane to the given surface at the specified point. z = 4x² - y² + 4y,…

A: Topic:- application of derivatives

Q: a.find the slope of the line tangent to the graph of f at P. b. Determine an equation of the tangent…

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Q: Let f and g be continuous functions such that: [Fox f(x) = 3 And So, determine the value of: [2f(x)…

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Q: Evaluate the line integral, where C is the giv z² dx + x² dy + y² dz, C is the C

A: See the details solution in below

Q: 13. Evaluate the indefinite integral fx cos x dx x sin 2x cos 2x a. + c 2 x sin 2x cos 4x b. + c 2 2…

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Q: 6. Find the Laplace transform of each convolution using the theorem C{f*g}=F(s)G(s). a) C {t³ * est}…

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Q: Determine the instantaneous rate of change of the function y = 5x + 2x² 1 with respect to x at x-4.…

A: Find instantaneous rate of change

Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

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Q: A rectangular field is to be fenced off along a river where no fence is needed on the side along the…

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Q: f(x) = -3 cos (+)-2

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Q: 8 For the function y = f(x) = 7+2²' a. Find the slope of the line tangent to its inverse function at…

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Q: Find the area of the region enclosed between y - 4 sin(x) and y = 4 cos(z) from z= Hint: Notice that…

A: We have to find area bounded by the given curve.

Q: SHOW FULL SOLUTION. A semi-circle is placed on top of a rectangle such that the diameter of the…

A: Given :   A semi-circle is placed on top of a rectangle such that the diameter of the semi-circle…

Q: 1. what is the basic concept of a vector?

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Q: Use a definite integral to find an expression that represents the area of the region between the…

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Q: 5- The tail of vectors a and b form two sides of a parallelogram. Vectors is 30 degrees, and the…

A: Area of a parallelogram when two sides of the parallelogram are given by the vector a→ and b→ is…

Q: Answer the question. x2+1, -1sx<0 0<x<1 5x, f(x) = -3, x = 1 -5x + 10 1<x<3 4, 3<x<5 d -6. 6.S... L…

A: Topic:- function and it's continuity

Q: Suppose you are given a square with an inscribed circle as shown below. If the area of the square is…

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Q: According to Stefan's law of radiation the absolute temperature T of a body cooling in a medium at…

A: dTdt=kT4-Tm4                       11T4-Tm4.dT=k·dt1T2-Tm2T2+Tm2=k·dt…

Q: Algebraically prove the identity, Left Side sin +1 1 sin 8-1 2 sec² 0. Right Side

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Q: Identify any vertical, horizontal, or oblique asymptotes in the graph of y=f(x). State the domain…

A: Graph of the function is given, we have to find its asymptotes and domain

Q: 1. Which of the following is equivalent to 3(x+4) - 6+5x? A. 3x + 12-x B. 8x-2 C. 8x + 6 D. 2x+6

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Q: "Si" means "if" The function f is defined as follows: Knowing this, calculate: f(x) = 4x³+ln(3x) si…

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Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A: We have to find position vector

Q: The expression f(x+h)-f(x) h for h#0 is called the difference quotient. Find and simplify the…

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Q: f(x)= X-I x=1 √x-1 X = 1 1123 -s continuous at x = 1?

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Q: Which of the following is a mathematical sentence? 1.2 is a prime number. II. = 0. I and II Il only…

A: To find out the correct option.

Q: X x² - a² dx

A: To find the value of given integral.

Q: Factor the difference an+1-an to show that the given sequence {a} is strictly increasing or strictly…

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Q: 1. Find the trigonometric Faurier Series of the function ..defined... by... f(x) = x+# if π..<X.…

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Q: x² +1 x³+1 B x²-x+1 B x²-x+1 16. Partial fractions of A - a. x-1 A b. x+1 - will be of the form C.…

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Q: 6-Determine the volume of the parallelepiped formed by the vectors U= [2,1,3], v= [1, -4,2] and w=[…

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Q: Nx - My If = R, where R is a function depending only on the quantity z = xy, then the differential…

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Q: Can someone convert the final answer to integer or decimal?

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Q: Explain why the calculation (axb). (ĉ. d) is not meaningful.

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Q: the marginal revenue (in dollars per unit) for a month for a commodity is  MR = −0.2x + 35,  find…

A: Topic:- application of integration

Q: (2x²-9x-9)dx x³ - 9x

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Q: Find the volume under the surface z = f(x,y) and above the rectangle with the given boundaries. z =…

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Q: b) Evaluate In x dx. X Question 3 For the differential equation y'+-- sin 2x, y (a) Show that the…

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Q: Problem 7. Find absolute extreme values for f(x) = ³ − 6x² + 5, x € [1,5].

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Q: What is the rectangular equivalence to the parametric equations? z (0) = 4 cos 0+2, y (0)=2 sin 0-5,…

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