in x

Q: Express the integral in terms of the variable u, but do not evaluate it. | 7x /5 – x² dx; u = 5 – a²...

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Q: Use the method of Lagrange multipliers to maximize the function subject to the given constraint.   M...

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Q: 1. The graph of f(x) = cos r is Graph and its asymptotes are Option 2. The graph of f(x) = cot x is ...

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Q: The function S = g(t) represents the average speed of vehicles on the M1 freeway, in km per hour, t ...

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Q: Solve the systems of LDE using the method of operator (D2 – 3)x – 4y = 0 x + (D² + 1)y = 0

A: Given : (D²-3)x-4y=0 x+(D²+1)y=0 To find : To find x and y using D- operator method    

Q: Solve the Laplace transform of e-2t cos/3t – t²e-2t

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Q: Let E and F be two events. Which one of the following is known as Baye's Theorem? (P(E).Ρ(Ε| F ) (P(...

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Q: Let / be a continuous function defined on the set of real numbers. What can you conclude from the ta...

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Q: Given a system of linear equations, with ke R. -2x + y 22 - - 2 + Зу + : - 1 3x 5y + (5 + 5k)z - 5+ ...

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Q: Solve the following linear differential equations: 1] (D³ + 2D² – 5D – 6)y = 0 , y(0) =y'(0) = 0 , y...

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Q: Find dy/dx  if   x4= cot y

A: First diffrenciate with respect to x and y.. Then simplyfy. 

Q: Determine the value of y in the given equation in the interval [0, 2rT): 2cos-y - 3cos y = -1

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Q: A boat leaves port, travels 13.77 miles, turns 20 degrees, and travels another 3.47 miles. How far f...

A: Here, from the given figure: a=17.77 & c=3.47 Now angle B=180°-20°=160°

Q: Find all points of the graph of f(x) = 3x2 + 9x whose tangent lines are parallel to the line y - 57x...

A: Solution: Two lines are parallel if they have same slope.    

Q: Determine whether A-B is defined. If it is defined, express the result as a single matrix; if it is ...

A: Given A=02-1153 and B=110-83-3Yes, A-B is defined.

Q: у" %3D 9х2 + 2х —1

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Q: Evaluate the integral by making the given substitution. sec(2x)tan(2x) dx, 2x +C

A: Solving the problem by doing the integration.

Q: 8] Particular Solution of (D2+D-6)y = 0; y(0) = 0; y'(0) = 5 (a) y= Ce-3x (c) y=-e Cze2x (b) y=e-3* ...

A: Explanation of the answer is as follows

Q: 4u? — 4и + 3 - пр- J (2и — 1)/4и? — 4u — 15 - - -

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Q: polar equations represents a cardiod or heart-shaped

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Q: Evaluate the definite integral two ways: First by a u-substitution in the definite integral and then...

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Q: II. Find the area bounded by the curve y = x3 - 12 x and the x-axis. Sketch the curve indicating the...

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Q: 4u? — 4u + 3 np= (2и — 1)/4u? —4и — 15

A: According to question, Given integral,Let I = ∫4 u2 - 4 u + 32 u -1 4 u2 - 4 u -15 du

Q: If the graph off is increasing before x=c and decreasing after x = c, then the function has relative...

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Q: Find the values of a and b such that (-1, 2) is a point of inflection on the graph of f (x) = ax- br...

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Q: Consider the graph of the function k with A the area between the graph and the horizontal axis on th...

A: Given graph of a function k(x)

Q: The market research department of a company recommends that the company manufacture and market a new...

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Q: Solve the following systems of ODE using Laplace Transform x' + 2x – 2y = 0, y' + x+2y=0, x(0) = 1, ...

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Q: 10. Solve for the Y(s) of a given function that is in terms of y(t) with the corresponding initial v...

A: Let's find. 

Q: Graph and discuss the continuity of the function sin xy f(x, y) = if xy + 0 ху 1 if ху — 0

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Q: 연습문제 13.7 1. 제약조건 g(x, y) 3D 0 하에서 z %3D f¢x, y)의 극값을 구 하여라. (1) f(x, y) = 9- x²-y², (2) f(x, y) = x...

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Q: Question 9 Consider the augmented matrix of a system of linear equations in four unknowns x1,x2,x3 a...

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Q: If f(x, y) = 7(92-67, then 1 9(9x-6y) ' is given by: 18 (9x-6y) 12 (9x-6y)3 18 (9x–6y)³ 12 (9x-6y) O...

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Q: Determine the Laplace transform of e-2"cos/3t – t²e-2 3+2

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Q: Given the graph below, what is the period? Use the word pi to represent rt. Example, if your answer ...

A: Period of graph

Q: Given a system of linear equations, with ke R. -2x +y 2 2. + 3y + 3x 5y + (5+5k)= 5+5k 1.1 Use an au...

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Q: Use properties of the definite integral and appropriate formulas from geometry to evaluate the integ...

A: We will integrate the given function.

Q: Convert the Cartesian coordinate (1,6) to polar coordinates, 0<0 < 2n Enter answers as a decimal rou...

A: Let's find. 

Q: Find or evaluate the integral, (Remember to use absolute values where approprlate. Use Cfor the cons...

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Q: Consider a function f with domain {x|x + 0} and the following derivatives: 2 bx3 bx² – 1 bx? f' (x) ...

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Q: Question 7 A company is selling items at a rate of g(1) items per day. Interpret the statement g(1) ...

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Q: An oil tanker hits a reef and begins to leak oil. The resulting spill is circular in shape and incre...

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Q: 3] The auxiliary equation of the Linear Differential equation with real constant coefficients satisf...

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Q: 98. The paraboloid z = 6 – x – x² – 2y² intersects the plane x = 1 in a parabola. Find parametric eq...

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Q: View Policies Current Attempt in Progress Find the area of the shaded region. The image is not to sc...

A: Given that:                      

Q: Determine the y(t) for the following initial value problem: y" – 2y' + 5y = 8e'sin2t -

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Q: 9. If we determine the inverse Laplace of F(s) 7s2-41s+84 what would be the sum of the (s-1)(s2-4s+1...

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Q: The integral / sin²xcos?xdx is equal to M – cosN) dx' what is M and N? (1- M= N=

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Q: Let f be a differentiable function defined on [-6,-21. If f satisfies the conditions below, . = -5 i...

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Q: Evaluate the following indefinite integral: S(Ha +3a- +4) da 3. + - a+4x+C ONo Answer T+a- + 4a+ C +...

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