O Evaluate Je*+1 dx

Q: x fare cos = dx 2

A: Indefinite Integration

Q: H.W: Evaluate the integral 2TL TL ·ss πο 5. (sinx + cosy)dxdy

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Q: The angle between the two vectors is not equal to Select one: O True O False u= and v= 0= π

A: Here we use the concept of dot product of the vectors.

Q: Graph one period of the function f(x) = -sin(3x)

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Q: 2 8. For the telescoping series find a formula for the nth term of the sequence of (2k-1)(2k + 1)'…

A: The telescoping series ∑k=1∞22k-12k+1

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

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Q: Evaluate 1 foto dx. 6 + e-4x -dx 1 6+e - 4x = + C

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Q: Find a linear differential operator that annihilates the given function. 2.3 + e* cos 2x

A: Let, the given function:fx=3+excos 2x

Q: The cofactor of the following Matrix is [5 W = 3 4 6 cof(W) -12 18 11 4 2 0 11 -22 -8 16 2 1] 5 3

A: To find the cofactor matrix of W

Q: ·S In (x) √xln(x)-x =dx

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Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

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Q: ₁ y २ The circle x² + y² = 36 ty revolved about the = line 1. Phat is the Volume ? garcratid Cl.…

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Q: y' = x - 4xy

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Q: Let à = and b = . Find k so that a and b will be orthogonal (form a 90 degree angle) k-

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Q: The vectors u = (5, −4, 0) and v = (5, -4,0) and v = (−4, −5, 4) are orthogonal. Select one: O True…

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Q: 3. f- 8xdx

A: Solve the integration

Q: Using Homogenous Equations solve in terms of y: xdy - ydx - √x² + y²dx = 0 –

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Q: Sketch the figures and show step by step solutions. Find the area lying above the x-axis and under…

A: We have to find area for given curves.

Q: The function h is defined as follows. h(x) = x² +7x-18 x²-8x+7 Find h (4). Simplify your answer as…

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Q: What is the average value between the curves f(x)=√x³ in the interval [419] of

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Q: Consider the differential equation x2y" + xy' + y = 0; cos(In(x)), sin(In(x)), (0, ∞). Verify that…

A: First change into linear ode with constant coefficient then solve

Q: fx x tan x dx

A: We can find the integration using integration by parts as below.

Q: 25. f(x): Determine the value of k so that f(x) is continuous. Show work. 2x² - k x < 2 = 2x² - 5x -…

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Q: Sketch the figures and show step by step solutions. Find the area between the curve y = x3 – 6x2 +…

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Q: A man travels in a motorized banca at rate of 12 kph from his barrio to the poblacion and come back…

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Q: <2, U = < 4, 5, x

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Q: H.W: Find the center of mass of a solid of constant density & bounded below by the disk R: x² + y²…

A: We need to find center of mass.

Q: Choose x such that the following two vectors are parallel u= and v= O -7 O None of the others 07 O…

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Q: mx + + 1) (x+1)^ then value of m +n is (where n is a prime number) X-2 dx equals ex + C

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Q: The Eigen values of the matrix A = = 1 1 li 1 0 1 1 0 0 1 0,1,2 O 0,0,1 O 0,2,-1 O 0,-1,2 O 0,2,2 O

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Q: A rectangular lot has an area of 1600 sq m. find the least amount of fence that could be used to…

A: Solution of given question is written in below steps.

Q: \(\) The vectors u= and V = are not orthogonal if and only if x=-136

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Q: Differentiate ex with respect to x, assuming that y is implicitly a function of x.

A: Here we have to use the concept of implicit derivative

Q: The equations of three lines are given below. Line 1: 6x+4y=-8 Line 2: y = x-3 Line 3: 3y = 2x+4 For…

A: The given lines are:Line 1: 6x+4y=-8Line 2: y=23x-3Line 3: 3y=2x+4

Q: The strength of a patient's reaction to a dose of x milligrams of a certain drug is R(x) = 4x√11…

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Q: State the order of the given ordinary differential equation. dy d²y dx² = V1+ Determine whether the…

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Q: cos² (x) + cos² (1) (x) cos³ IF .dx

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Q: Q31 Find the Laplace Transform to the following function L sin2t cos3t

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Q: \(\) The vectors u= 8> and v= are not orthogonal if and only if -136 Select one: O True O False

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Q: Find positive numbers x and y satisfying the equation xy=9 such that the sum 3x+y is as small as…

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Q: H.W: Find f, f, and f, if f(x, y, z)= x - √y² + z² x=(x.x)\S xh + lis

A: Here we have to use the concept of partial derivatives

Q: Let a = (5, 4, 2) and b = (-1, -2, -3), then 3a 5b (10, 2, -9). = - Select one: O True O False

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Q: What does the following equation represent in R O None of the others O Sphere O Plane O Line O…

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Q: y = 2 16-2

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Q: The graph of y = f(x) is shown. Use the graph to answer the question. 2 1 f(x) 1 -1 -2 2 lim Find…

A: Given graph of function y = f(x)

Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

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Q: What two positive real numbers whose product is 19have the smallest possible​ sum?

A: We want to find the two positive real numbers whose product is 19 and the smallest possible sum.

Q: Solve the given initial-value problem. The DE is homogeneous. 3 xy² dy = y³ y -x - x³, y(1) = 3

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Q: Solve the triangle, if possible. a = 26.38 km, b= 21.64 km, c = 18.31 km Select the correct choice…

A: Given problem:- Solve the triangle, if possible.   a = 26.38km , b = 21.64km , c = 18.31km

Q: If a x i = 0 and a x j = 0, then Select one: O O a is equal to k a is any vector perpendicular to i…

A: We know that if two vector are collinear then their cross product is zero, Therefore 'a x i =0 '…