Solve the integral using wallis formula.

Q: Find the exact sülution fur ylz Xtzy

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Q: Q3. Given the complex numbers z1 = -V3 +i,z2 = 2 - i,z3 = -V3 – 3i and z4 = 4 + 4i 3.1 Represent the…

A: We have to solve given Questions

Q: gths of pregnancies in a small rural village are normally distributed with a mean of s and a…

A: Here the range is 233to 293.  Here I am providing my notes

Q: Consider the equation y"+ay'+by=f(x) where a and b are real constants. If the general solution of…

A:

Q: 2 Find the Inverse Laplace transform f(t) if given the Laplace Transform function 1 F(s) = using…

A: Use partial fraction

Q: OGraph the following Runetion two -4

A: Graph

Q: enupomS UI Che IlmaJur anu Uf elmpses, anu apolnts Of traces. Consider the quadric surface S2 : 4 +…

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Q: Where is each function continuous? (b) f(z) = sin (1-r) I+3 (c) f(r)= In (d) f(r) = 12+5r +6

A: Topic:- function

Q: Find the area of the region enclosed by y = 0.75 and a 6 - y". -4 -3 -2 -1 4 5 -2- Use horizontal…

A: To find the area of the region enclosed by y=0.75x and x=6-y2.

Q: Use a double integral to find the volume of the indicated solid. 9. z = 9-2 y 2. y=2 4 X=4

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Q: Find the inverse function G for the function F(x) = (x-1)/7 in the real numbers. Show all steps.

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Q: 2.1 Find the value of x and y from the given complex equation (-2+ i)x + 2y =1+ 3i. 2.2 Write the…

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Q: Problem 6. The area A of a triangle is given by A=ac sin B, where B is the angle between sides a and…

A: Area of triangle, A=12acsinBa is increasing at 0.4 units/sc is decreasing at 0.8 units/sB is…

Q: Find the radius of convergence and the interval of convergence.

A: Solve by  formula

Q: A: By using Linear equation solve the first order differential еquation y' + sec(x)y = cos(x)

A: The given differential equation is;  y'+sec(x)y=cos(x).

Q: 44. Find the derivative of loga u with respect to x. a. log u du/dx b. u du/ln a c. loga e/u d. log…

A: Given data÷

Q: Set up the definite integral required to find the area of the region between the graph of y = – 23x…

A:

Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region in the first…

A: By using the Shell Method to compute the volume of the solid obtained by rotating the region in the…

Q: Use the Laws of Logarithms to rewrite the expression below in a form with no logarithm of a product,…

A:

Q: Find the inverse of the function. f(x) = 9-2x^3 f^-1(x) =

A: THIS QUESTION CAN BE SOLVED USING THE CONCEPT OF INVERSE OF FUNCTION.

Q: Use the Fundamental Theorem of Calculus to find the "area under the curve" of f(x) = 4x + 7 between…

A:

Q: Find f, and f, as functions if 2y f(x. y) = y+ y + cos x

A: This question is related to differentiation, We will solve it using given information.

Q: Set up the definite integral required to find the area of the region between the graph of y = y = 4x…

A: Topic:- application of integration

Q: 1. Given ā = 31 -9j and b = -6i +j compute each of the following. (a) 105 (b) 14ā + 205 1 (c) 8b 3

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

Q: The shaded region between the graphs of 2x2 + 20 and y = 3x – 15 is displayed - - below in orange.…

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Q: 2 2-y Mote: Complete lirst for X, them or Y.

A:

Q: The region bounded by the given curves is rotated about the specified axis. Find the volume of the…

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Q: Find the partial derivative of f(x, y) 8x - 2xy2 + y3 with respect to x at the point (2, 1, 61).

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Q: If f is differentiable at a number, x, then f is continuous at x.

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Q: Find the exact values of the remaining trigonometric functions of theta satisfying the given…

A: Follow the procedure given below.

Q: Determine the general solution to the vector differential equation r' = Ax with A = [2030-40 -30 2]…

A:

Q: Find all the values of x between 0 and ë where the tangent line to the graph of y = sin (x) cos (x)…

A: We will use the concept of differentiation to solve this.

Q: Find the area (to three decimal places) bounded byf(x)=x^2e^x and q(x)=4-x^2

A: Given problem:- Find the area (to three decimal places) bounded byf(x)=x2 ex and q(x)=4-x2

Q: 4. cos 4x cos 2x dx

A: The integration of the integral is cos(4x)cos(2x).

Q: NOTE: Enter the exact answer as an improper fraction if necessary. A =

A:

Q: A company's marginal cost function is where x is the number of units. Find the total cost of the…

A:

Q: prove that if the polynomial f(x) = x2n + a1x(2n-2)  +....+an-1x2 + an  is divisible by g1(x)= x-1…

A: prove that if the polynomial f(x) = x2n + a1x(2n-2)  +....+an-1x2 + an  is divisible by g1(x)= x-1…

Q: Find the directional derivative of f at P in the direction of a. f (x, y) = 17 tan Р(-18, 18); а %3D…

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Q: dz Find if z = 16x5 – 18x³y3 + 9y – 4. %3D ay az %3D ду

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Q: f(x) e C = 0 %3D - ) = Σ %3D n = 0

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Q: Set up a triple integral for the volume of the solid. Do not evaluate the integral. The solid…

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Q: alculate D(f ◦ g) for the fun

A: answer is in next step

Q: Find a power series for the function, centered at c. 1 h(x) 1 C = 0 8x' h(x) = n = 0 Determine the…

A: We have to find the power series and interval of convergence.

Q: Duf :

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Q: C. Determine the Laplace transform of 1. F(x)= x2 2 f(x) = e®, a €R 2.

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Q: Determine the Laplace transform of the following function f(x) = x2 1.

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Q: Two parallel sides of a rectangle are lengthened at a rate of 3 cm/sec, while the other sides are…

A:

Q: Compute the derivative of the function y = 7 sin-(x) at the point x 3 (Use symbolic notation and…

A:

Q: In a recent Gallup poll, 1003 randomly selected adults in the United States were asked if they have…

A: This question is related to percentages, we will solve it using given information.

Q: 5. A two-pen corral is to be built. The outline of the corral forms two identical adjoining…

A: