2dy Зу-4

Q: If the solution of the initial value problem y'= (x-1)5+3(x-1)² +5, y(3) = 1 is y= M6+M³+5M +C What ...

A: ∫ax+bndx = 1a.ax+bn+1n+1+C

Q: Use any convenient method to solve the following system of equations. If the system is dependent, ex...

A: The solution is given below:

Q: Evaluate the integration by parts (5х)(сos(3x))dx 0.

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Q: Find the most general antiderivative of f(x) = sin x cos x . sin x cos x + C 2 cos? x + C 2 None of ...

A: We will find the anti derivative of f(x)  as shown below

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

A: Let's find. 

Q: 1 0 a b Consider the matrices A = and B = 0 0 са 12.1 What is AB and BA? Give the matrices and do no...

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Q: Find an expression for the area between the curves y = x-/2 and y = e between the lines X = 0 and x ...

A: In this question we have to find the expression for the area between the curves.

Q: Use the Fundamental Theorem of Calculus to find the derivative. Vx-x1-t2 dt d dx

A: The Fundamental Theorem of Calculus says: ddx∫ag(x)f(t) dt=f(g(x))·g'(x)...(1)

Q: Calculate the following limits. Show some calculation or explanation that justifies your answer. х —...

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Q: A boat leaves port, travels 11.84 miles, turns 20 degrees, and travels another 4.43 miles. How far f...

A: Given that:    c=11.84 mi; a=4.43 mi                            

Q: Solve the particular solution of the differential equation dy/dx = (x* + 1)/xª, x = 1, y = 1. A. y =...

A: Given:     To determine: Particular solution

Q: 4. The displacement of a particle on a vibrating string is given by the equation s(t) = 10 + sin(107...

A: Here we have to find the velocity and the acceleration of the moving particle. The solution is follo...

Q: 7. Find the intervals on which f(x) is concave up or down, the points of inflection, the critical po...

A: As we know that, To calculate the critical points, f't=0. Given; ft=t3-6t2+4

Q: 1. Which of the following is the amplitude of y = 4 sin (3x)? В. п/4 С. п/3 A. 4 D. п/6 2. What is t...

A: Explanation of the answer is as follows

Q: Which one of the following integrals represents the area of the region enclosed by the two curves y ...

A: If two function y=f(x) and y=g(x) continuous on [a,b] and f(x)≥ g(x) on a≤x≤b, then area of the regi...

Q: The pt. (x,y) is at a distance 5 from (0,-3)

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Q: For what r-value (approximately) does the function f(x) = sin(x) – 2? (Use x = 2 as a first approxim...

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Q: e3x lim

A: e3xex=e3x-x           (aman=am-n)e3xex=e2x

Q: 43. Graph and discuss the continuity of the function sin xy if xy + 0 f(x, y) = ху 1 if xy = 0

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Q: of 8 Question 7 At time t hours a company is selling items at a rate of r(t) items per hour. 10 Inte...

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Q: The owner of a small amusement park represents the number and type of vehicles that are in the parki...

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Q: Which of these could be a correct next step to be able to write this equation in standard form? 3. (...

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Q: Evaluate dx x3 – 2x2 + x

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Q: stion 2 If the solution of the initial value problem y'=(x- 1)+3(x-1)² +5, y(3) 1 is y=-M°+M³ + 5M+C...

A: We have to find out the M and C

Q: 1 Find that antiderivative of the function whose value at X = –1 is x2 + 4x + 5 0. x + 1 In |x+5 - I...

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Q: 1. f(x) = S-x² + 4; if x 3x = 3 2. f(x) = x² -4 ;x = 2 オ-2t

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Q: A particle at (1, 0, 0) starts moving in space in such a way that its position vector at any time t ...

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Q: II. Study the properties of the given circular functions then answer the following questions. Write ...

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Q: Find the angle B in a triangle ABC, if angles A= 58.6° and C = 30.84° O 30.84° O 90.56° O 152.24° O ...

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Q: ' = (3x^2 + y^2) / xy , y(1) = 1, solve for y when x = 2, and solve for y when x = 4

A: To solve the following problem

Q: If f(x, y) then is given by: 7(7x-6y) 12 (7x–6y)3 12 - 3 (7x-6y)³ 14

A: we will partially differentiate the function twice

Q: You have a savings account. You have had this account for about 6 years and you ended up with about ...

A: Compound Interest formula :

Q: Problem 1. e=2+2i, find all solution of z.

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Q: 1 cos(2 t) (-13 cos(t) – 15 cos(3 t) + 26 sin(t) + 10 sin(3 t)) + 260 1 (26 cos(t) + 10 cos(3 t) + 1...

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Q: What is the perpendicular distance of the line 6x + 8y - 50 = 0 from the origin?  a. 10 units b. 1...

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Q: Consider the system of linear equations below with k a real number. X +y 一 y (1 -k) =1- k = R): -1-k...

A: Find the augmented matrix [A, B] of the system of equations. Step 2 : Find the rank of A and rank of...

Q: The displacement, 8 in feet, of a particle moving in a straight line is given by 8 = 5t2 6t + 14, wh...

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Q: Sketch the region enclosed by the curves and find its area. 1 V1- 9x2 y = 2 NOTE: Enter the exact an...

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Q: In a A ABC, if ZA = 55° and sides a = 15.11 m, c = 6.25 m, then ZC is %3D O 19.81° O 76.28° O 13.72°...

A: We have to find angle C

Q: A particle is moved along the x-axis by a force F(x) = x² + 5x – 6 . How much work is done in moving...

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Q: Find the intervals of concavity and any inflection points for the function f(x) = -x²e".

A: Given query is to find interval of conavio amd inflection points.

Q: tan x + √ 3 = 0

A: To solve for x. 

Q: 11. Find the exact value of each expression. a) sin-1 () 2 b)sin(tan-(-V3)

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Q: (-1)** The series n=1 n is a) Convergent, but not absolutely b) Converges absolutely c) Diverges

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Q: From the list of equations: 1. Y = 5x + 2 2. 5у 3 25х + 10 3. 5у — 10x + 10 4. 2y = 10x – 4 Which pa...

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Q: Find all local minima and maxima for the function x2 + 8x – 20 f(x) = Explain how you can know which...

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Q: According to the Stefan-Boltzmann Law, the thermal radiation energy emitted (per unit time) by a hot...

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Q: a b а в Consider the matrices A = and B = %3D c d Show how you use the dot product definition to cal...

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Q: Given f(x) = 3 cos² (x), write the equation of the line tangent to y f (x) when 3

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Q: y = c3e4* + c2e¯* + c1 + C2e -x

A: