cos(x) f(x) = 1- cos(x) In solving the antiderivative of by miscellaneous substitution, the substitution 7=tan transformed into Determine the value of Z) for z= 1.18. (note: use 2 decimal places)

Q: Use the convolution to write a formula for problem: y" – 3y' + 2y = f(t), y(0) = 1, y'(0) = 0; -

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Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) d²y + 2y = 3 , y (0)…

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Q: Find the curvature of the function y=ln(3x) at x=3x=3. Find the radius of curvature at x=3x=3.…

A: Given function is:  y = ln(3x) First we will calculate the radius of curvature : Radius of curvature…

Q: Use a power series to solve the differential equation : (1+ a?)y" – 4 a y' + 6y = 0

A: Given DE is  (1+x2)y"-4xy'+6y=0......(1) , by using power series solution.

Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9 2…

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Q: x+y Q3) Evaluate triple integral S S dz dy dx. x-y

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Q: A cylindrical steam broiler is to be constructed having a capacity of 1000 cu.m. The material for…

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Q: find the ser fak Aren from the folloding 24x+32y+82-72

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Q: 1 The value of f|5x – 3|dx is

A: Integration of the absolute valued function

Q: If A is 3 x 3 matrix such that (A + I3)² = 0 %3D Show that: A is invertible.

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Q: Three coins are tossed, what is the probability of showing three tails ? Your answer

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Q: Q: Solve by iteration methods the following 2X + Y+ 6z= 9 8X + 3Y + 2Z= 13 X + 5Y + Z= 7 X=2 Y=4…

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Q: Q3) Evaluate triple integral , S, S(x2 – y?)dz dx dy.

A:

Q: Give the parametric and symmetric equations of the line that passes through the point (5,−1,3) and…

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Q: 22 – 9a? = 1 4,

A: We have to sketch the graph of given equation.

Q: Find the values of (Xx) that minimize the function f(x,y) = 8x²- xy + 12y² subject to the constraint…

A: (a)

Q: Q5/ Use Linear Regression to fit the following data: 2 4 5 6. Y 4 9 10 10 8

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Q: Find the Maclaurin series for f(x) and use it to approximate the integral 1+ x3 correct to 4 decimal…

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Q: There are 34 juniors and 45 seniors in the auditorium. After x juniors and x+5 seniors left the…

A: We want to find value of x.

Q: There are 12 chocolate cakes, 18 cheesecakes, and several cream cakes in a refrigerator. If the…

A: Here we make an equation and then solve that equation.

Q: Evaluate the following integral using Trigonometric Substitutions Method: 2. y = 1- x dx

A: Here to solve the given integral, we can use trigonometric substitution  x=sin2t

Q: QI) Evaluate the integral dy dx using polar coordinate

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Q: 1- x dx y =

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Q: Consider the solid bounded by the planes: z=x+y, z=12, x=0, y=0. Determine the volume of the solid.…

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Q: Which of the following is the Taylor series expansion of the function f(x) =e-2 with center a 2n n!…

A: Given function is f(x) = e-x2

Q: 4-y² QI) Evaluate the integral * dx dy using polar coordinate

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Q: /1- y?)dx = 0

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Q: Solve the following equations transformable to quadratic equations. A. 1. 1 -+-= x 11 2. 2 x+1 4 2…

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

Q: Using implicit differentiation, find the slope of the tangent line at the point (9,16) on the curve…

A: Given curve, x+y=7 and point (9,16)

Q: Q4) Find plane area inside the polar function r 2 and outside polar function r=2 sin ( +e) in second…

A:

Q: 1.5 3-y Q1) Evaluate the integral S dx dy using polar coordinate 'y

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Q: If A is 3 x 3 matrix such that (A + I3)² = 0 %3D Show that: A is invertible.

A:

Q: Q4) Find plane area inside the polar function r 2 and outside polar function r = 2 sin +0) in second…

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Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) +2y 3 ,y (0) = 0,…

A:

Q: If a ball is given a push so that it has an initial velocity of 24 ft/sec down a certain inclined…

A: Here we can use the fact that the velocity is the instantaneous rate of change of distance. That…

Q: a) Given f(x) =- 3Vx + 2 Find f'(x) using the definition of derivative.

A:

Q: n(A U B) = 155, n(A N B) = 30, and n(A) = 105 %3D What is n(B) ?

A: We have given the values n(AUB)=155 , n(AnB)=30 and n(A)=105 . Then to find n(B) .

Q: 2 -1 0 3 0 3 2 -1 If D = and E = find 1 5 6 2 0 7 1 3, G = 1 7 4 0 6 [5 4 3 -7 2 6. , find 2 0 If F…

A: The given matrices having different orders.

Q: QI) Evaluate the integral dx dy using polar coordinate

A:

Q: et L: M2x2 - M2x2 be the linear transformation defined by L(A) = 414, %3D or matrix A in M2x2-…

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Q: 7. D is bounded by the surface (r2 + y² + z²)² = a²(x² + y² – 22). %3D

A: We have to find volume where D is bounded by the surface (x² + y² + z²)² = a²(x² + y² — z²).

Q: Evaluate a dz, where C is a circle with (z+1)* 4 centre at origin, |z| = 3.

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Q: Q2) Evaluate the following integral using Trigonometric Substitutions Method: dx 19x2 + 16 y

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Q: Evaluate the following integral using Trigonometric Substitutions Method dx y = 9x2 + 16

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Q: uation of a 3 X 3 M - 60 = 0 if one a is an integer valu t eigenvalue of A?

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Q: Q2) Solve the D.E x²dy + (3xy – 1)dx = 0 %3D -

A: Given differential equation is x2dy + (3xy-1)dx = 0

Q: r1.5 (3-y dx dy using polar coordinate Q1) Evaluate the integral o

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Q: Q2) Solve the D.E xy(x² + 1)dy – (y² + 1)dx = 0 %3D

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Q: 1 (i) Find the unit vector having the same direction as B – 2A+÷C. (ii) Draw the vector you obtained…

A: We have given three vectors A, B and C .

Q: Q5) Find volume of body bounded by z = 0 from below and z = 4 - y from above inside y = x? ,y = 4.

A: Volume of the solid (V) =∫∫∫dxdydxGiven solid bounded by z=0, z=4-x, x=y2 and x=4 Limits of…