Solve the following system of equations.  2w + x + y+ 2z = −9 w − x + y+ 2z = 1 2w+ x+ 2y − 3z = 18 3? + 2x + 3y + z = 0

Q: Explain why S is not a basis for R². S = {(-6, 2)} OS is linearly dependent. S does not span R². OS…

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Q: If f(x)=√x+7 and h(x) = 6 -, find f(x) + h(x). X

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Q: Find the power series representation of the following function f(x) = ln(1+x)

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A: Given f(x, y) = 5x3 − 14xy + y3 Fomulae: ddx(xn)=nxn-1 and ddx(x)=1 By differentiating it with…

Q: 2. A ball is dropped from a 20-foot building with a constant acceleration due to gravity of 9.8m/s².…

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Q: ve the following: y' - x³y² = 4x³, y(0) 4x³, y(0) = 2.

A: We will solve the differential equation

Q: 9. Estimate the value of the convergent series 8 k=1 (-1)^² k! + 2k with an absolute error less than…

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Q: Consider the following. (Round your answers to four decimal places.) f(x, y) = x cos(y) (a) Evaluate…

A: Calculate value of function at given points  Then calculate difference between the values of the…

Q: 4. Use integration by parts to evaluate (2x - 5) cos(5x - 2)dr.

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Q: Complete the following steps for the given​ function, interval, and value of n.   a. Sketch the…

A: Let's solve.

Q: 2. Find the area bounded by y = x² - 2 and y = 2x + 1.

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Q: Σ k=0 (-1) k 5k + 9 The number of terms that must be summed is (Round up to the nearest integer as…

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Q: Consider the following. f(x, y) = 5x - 4y (a) Evaluate f(9, 1) and f(9.1, 1.05) and calculate Az.…

A: Given function,fx, y = 5x -4y

Q: The rate for parking in the short-term lot (maximum of 12 hours) at the seaport is $1.50 for the…

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Q: Q2: Find the surface area generated by rotating for y = x² - ln(x) for x = [1, 2] about the y-axis.

A: We need to find Surface area.

Q: 23: Solve the initial value problem 2√ = cos² (y) and y(0) = 2. lease write your answer in the form…

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Q: 52+45 lim x 9 x² + 13x + 36

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = P(4, 5), v =…

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Q: Use the comparison theorem with f(x) = 1 √x [₂² to show that 1 X- is divergent.

A: Show that ∫2∞1x-1 is divergent.

Q: Solve the initial value differential equation: (x² + 1) + 3xy = 3x where y(0) = 2

A: Given Differential equation,x2 + 1dydx + 3xy = 3xandy0 = 2

Q: The circle given by the equation x²+y²+ax+by+c=0 passes through the points (2.0), (-1,7) and (5,-1).…

A: Put given points into given equation

Q: Find the angle in the first quadrant that satisfies cose = √3 2π M FIM FU 6 None of these 5 T 6

A: We need to find the value of the angle θ such that cosθ=32.

Q: The function s(t) = t³ - 12t² + 45t represents the position of a particle (in meters), at time t (in…

A: We have to find points of position where object is at the rest position.

Q: y=x^3+5

A: Please refer to the image below

Q: [²₂ 0 y√2y - y²dy

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Q: Evaluate each of the following limits a) lim 5x²-11 2-3 2-1 b) lim ²-2x-8 x-4 x-4

A: a). The given limit is: limx→35x2-11x-1

Q: | 6. Use a trigonometric substitution to evaluate x³√x²-4 dx.

A: We will find integral using  trigonometric substitution.

Q: In the following problems you will find the limit of a function numerically (i.e. from a table).…

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Q: A charge to rent a saw per day or a fraction of a day Fixed Cost $5 variable cost $10 1 1/3 = 2…

A: We have to find the total cost for 113 days.

Q: True or false? An inner product is a scalar-valued function on the set of ordered pairs of vectors.…

A: Given question:- True or False?

Q: g(x) 8. Assume that f(x) and table. Use the following table to calculate the following derivative. 1…

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Q: . A rectangular pen is built with one side against a barn. If 2300 m of fencing are used for the…

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Q: Explain why S is not a basis for P₂. S = {1, 6x, -2 + x²,4x} O S is linearly dependent. OS does not…

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Q: 1²-29x + 5 dx (d) / (z − 4)² (z ² + 3) d (x

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Q: Consider the sequence (1/2+1/2+¹). lim 818 11 (+ 1/1/2+1) = -

A: To find the limit of the given sequence.

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A: We need to find out that the given series converges or diverges by using the ratio test.

Q: If sin(0) and is in quadrant I, find the following: 7 Give exact values. No decimals allowed! cos(0)…

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Q: For what value of c is the function f(x) = = C= C 7 2-4 (x+2)(x-3) x==2 x = 1 otherwise continuous…

A: Given :fx=c,      x=-27,        x=1x2-4x+2x-3   otherwise

Q: S tan 520 do

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Q: (a) Find the derivative of f (x) = (x² + 2) (4x − 3) by first expanding the polynomials. Enter the…

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Q: Use the formula for the future value of an ordinary annuity to solve for n when A=6000 the monthly…

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Q: Find the gradient of the function at the given point. Function f(x, y) = x² + 2xy Vf(5,2)= (No…

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Q: Determine the length of the parametric curve given by ㅠ = cost, 0≤t t≤ 2. X = sin³ t, y

A: To determine the length of the parametric curve given by x=sin3 t, y=cos3 t, 0≤t≤π2.

Q: In some manufacture company, which sales certain product, the price function p and the cost function…

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Q: function X-1 if X<1 f(x)= 0 if 1≤X24 X-2 if X34 20 a. Graph the given b. define values where, it is…

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Q: Find the equation of the tangent line to the graph of the function f (x) - - Enter the exact answer.…

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Q: A chemist has three different acid solutions. The first acid solution contains 20% acid, the second…

A: This question can be solved using the concept of system of linear equations.