Q5: Find the sums of the following (geometric series): 3n-1 1 6n-1 n=1

Q: Consider the matrix a) Find the determinant of A. det (A) = -30 b) If det (A) = 0, find the inverse…

A: We have to solve given Questions.

Q: 3. Find the quotient and the remainder for (x4 + 8x² − 6x − 3 ) ÷ (x+2).

A: 3. A polynomial p(x) can be written as p(x)=q(x)d(x)+r(x)⇒p(x)d(x)=q(x)+r(x)d(x) Where, d(x) is…

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A: Topic = Laplace transform

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A: Given differential equation is :

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A: Taking the eigen values and eigen vectors from the previously uploaded answer.

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Q: Consider the function f(x) = -3x²³ +3x²-3x -\ Find average rate of change on interval (-4,-1). Find…

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A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: In 19 years, Anthony Oaks is to receive $300,000 under the terms of a trust established by his…

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

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Q: Suppose a certain drug is administered to a patient, with the percent of concentration of the drug…

A: We are asked to find the interval  of increasing

Q: y-values 9 8 7 3 2 1 If f(x) = f'(3) = = 1 g(x) h(x)' g(x) 2 3 x-values then 4 50 y-values 5 4 3 1…

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Q: Find the solution of the differential equation that satisfies the given initial condition. x In(x) =…

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Q: 4) Find the value of a for which the limit lim x→0 evaluate the limit. sin(ax)-sinx-x x3 is finite…

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Q: This is the graph of the quadratic function rx)=-x²+bx+c 3 (The scale on the x-axis is not…

A: Given graph:-

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Q: der the following. x = t - 2 sin(t), y = 1 - 2 cos(t), 0≤t≤ 7″ an integral expression that…

A: We are asked to find the length of the curve

Q: Q5/ By Using Cayley-Hamilton method the inverse of the following matrix is:

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Q: H.W (5) 4 Solve the following differential equations of -0 -(x² + y²)dx + (2xy + cos y) dy 2rud dy

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Q: 5. The set P = {a + bi| 0 ≤a<1,0 ≤ b ≤ 1} is graphically represented by A B i X C 1 x 1 x D i

A: Since you've asked multiple question, we will solve the first question for you. If you want answer…

Q: Find the volume generated by revolving the given plane area about the given line, using: I. Sketch…

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Q: What is the partial sum of terms 12 to 15 of the arithmetic sequence 88, 75, 62, 49, ...? O 198 O-45…

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Q: 6. Find all the "zeros" of the function f(x)=x³ − 5 x² + 4x − 20 if you know x=5 is a root of f.

A: See the details solution in below

Q: 4. Find the area bounded by y=√11-x, the lines 3x-2 and x = 10 and the x-axis.

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Q: What is the measurement of the largest angle in AABC such that a = 52 cm, b = 46 cm, and c = 31 cm?…

A: The largest angel is the angel opposite to the largest side of triangle.

Q: A 14-foot ladder is leaning against a building. If the bottom of the ladder is sliding along the…

A:

Q: Solve the following linear system by using Gauss elimination method 5x₁ + x₂ + x3 = 5 x₂ + 4x₂ + x3…

A: Given that,

Q: Find the derivative of the function. h(s)= -2√3s² + 2 h'(s) =

A:

Q: The gradient of f(x, y) = xy at (x, y) = (3, 3) is

A: Given problem:- Find the gradient of f(x, y) =xy at (x, y) =(3, -3)

Q: 3 0 11 06: a: Let A = 12, B =[ -1 1 5 Find (2A-1)B -2 0 3

A: A= 301012-115 B = 1-20-132 find  (2A-I)B'   B' = 1-1-2302

Q: F Find · LV² [V² hpxp (₂h + x)us ha

A:

Q: 04: Find dy/dx for the following function:: (5) y = x³ log₂ (3 - 2x)

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Q: Find the exact length of the curve described by the parametric equations. x = 5 + 6t², y = 3 + 4t³,…

A: Find the length of the curve   x= 5+t2 ,y= 3+4t2 , 0&lt;=t&lt;=1 .

Q: Use the factor theorem and synthetic division to decide whether the second polynomial is a factor of…

A: yes

Q: For the next two exercises, determine the Maclaurin series for the given function. 2 sin(2/2) 3 2

A: You have asked question no. 2. 2. According to question,Given Function,sinx2

Q: dy dx for the following functions 1. y = cot X 2. y = sinxtanx Q4/A/Find

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Q: (2) Show that y=x sinx is a solution to y"+y= 2 cos x.

A: To Show: y=x sinx is a solution to y''+y=2cosx

Q: √x²+25 - dx= x X=5secØ and Ø = sec الخيار رقم 1 0 X=5tan and Ø = tan-¹) X=5sinØ and Ø = sin ||| خيار…

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Q: Given the sequence Of (n)=2+2 Of (m) = 2 + 1/ n Of(n)=n+: 1+n Of (n)=3--1/ = 21/1, 23, 2441... what…

A: Use sequence concept

Q: The graph of the function y=f(x) is below. f(x) N C X B From largest to smallest, what is the order…

A: We have to answer given Questions.

Q: 8. Given f(x)=x+3 and g(x)=4 – x², find g(f(x)) and f(g(x)). 9. Given f(x)=x²+4x-9 and g(x)=-4x² –…

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Q: Q2-Solve the differential equation dy = y - xcos² (2 dx x

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Q: Calculate two iterations of Newton's Method to approximate a zero of the function using the given…

A: Newton-Raphson formula of (n+1)-th approximation of root of f(x) is xn+1=xn-f(xn)f'(xn)

Q: Find the area K of the triangle specified below. a = 19, b= 19, c = 19

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Q: Let f(x)=x² defined a function on the closed interval −2 ≤ x ≤ 8. 1. f (4) 2. f(-3) 3. f (t – 3)

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Q: Find the solution of the differential equation that satisfies the given initial condition. dL=kL2…

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Q: 11. A plate in the form of a parabolic segment of base 12 m and height of 4 m is submerged in water…

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Q: s dx 20+ 8x - x²

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Q: Solve the following linear system by using Gauss elimination method 5x₁ + x₂ + x3 = 5 x₂ + 4x₂ + x3…

A:

Q: Solve: 9 d2y/dx²-24 dy/dx +16y=0; y(0)=3, y'(0)=3 Write the letter corresponding to your answer. The…

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