Given below is the augmented matrix of a system of linear equations.

Q: Find the value of the limit: lim x→0* sinx+ tan x

A: Given query is to find the value of the indicated limit

Q: Consider the following. dx Let u = 5x3- 1. Find du. dx - np Indicate how the limits of integration…

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Q: dx メ-1

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Q: Question 2 Find the equation of the line through (9, 2) with slope -2/3. Select your answer y =-2/3…

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Q: Find an equation of the plane. The plane through the points (2, –1, 3), (5, 3, 6), and (-3, -3, -3)

A: We are asked to find the equation of the plane

Q: 9. Find the equation of the tangent plane to f(x, y) = x In(y) + x²y+3 at the point (x, y) = (2, 1).…

A: We have to find the equation of the tangent.

Q: Find a formula for the nth term of the sequence (choose one of 2) The sequence 2,6,10,14,18, ..

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Use Newton's method to approximate a root of the equation x + x + 4 = 0 as follows. Let 1 = - 1 be…

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Q: Describe the graph of the equation. r = 16 cos ti + 7 sin tj – k O It is an ellipse in the x = -1…

A: Let's find.

Q: The demand curve for a certain product is given by p(q) = 517- q. The supply curve is given by p(q)…

A: We have to find the consumer surpless.

Q: Evaluate: S(4sin (x) – 3sec? (x)) dx

A: ∫ 4sinx-3sec2xdx=∫ 4sinxdx-∫ 3sec2xdx=-4cosx-3tanxAdd a constant to the solution=-4cosx-3tanx+C

Q: Determine whether the sequence is convergent or divergent. If it converges, find the limit. S(3(n –…

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Q: Among all the points on the graph of z=7-x-y that lie above the plane x+3y+8z=D0, find the point…

A: Hee, the given surface is z=7-x2-y2 and the plane x+3y+8z=0 which passes through the origin. So, the…

Q: Describe the graph of the equation. (8 – 21) i + 13rj r = O It is a plane in 2-space through the…

A: In this question we have to find point and nature of given vector.   Option d is correct.

Q: 8) Find the linearization of f(x) = 6 + X+1 tan 4 dt at x = 0. 1.

A: On solving this we will get

Q: Evaluate the definite integral. e141 i + e-j +t k )dt O e 4 – 1 i + (e-1 – 1) j +, k - 14 (e4 – 1) i…

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Q: dy 5. Solve the differential equation = 7xy3 if y = 0.5 when x = 2. dx

A: Given query is to find the solution of the differential equation.

Q: Find the unit tangent vector and the length of the indicated portion of the curve: (a) r(t) = (6 sin…

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Q: -2ry f (r, y) = e

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Q: d d Calculate r1(t)· r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: Q9. Find the equation of the tangent plane to f(x, y) = x In(y) + x²y+3 at the point (x, y) = (2,…

A: Consider the equation of the form          F(x,y,z) =0 then the equation of the tangent plane to the…

Q: Starting at age35 ​, you deposit​ $2000 a year into an IRA account for retirement.  Treat the yearly…

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Q: Suppose that total cost is given by C(q) thousand dollars when q million units are produced. What…

A: Given query is to interpret the marginal cost C′(25) = 4.

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A: Given that     D(x) = -3x/10 + 8     S(x) = x/5 + 3

Q: Find the solution of the following IVP using Laplace transforms given that f(0)=1 and f (0)=2: d…

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Q: Find the particular solution of the following ODE given that y(0)=0 and y'(0)=3: d'y dy +10 +25y = 0…

A: Explanation of the answer is as follows

Q: The fox population in a certain region has an annual growth rate of 4 percent per year. It is…

A: topic -exponential function

Q: Describe the graph of the equation. (8 – 21) i + 13rj r = O It is a plane in 2-space through the…

A: I have appended the formula used in the solution part.

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: If a club consists of 13 ​members, how many different arrangements of​ president, vice-president,…

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Q: Find the cosine of the angle between the planes x + y + z = 0 and x + 4y + 3z = 6. Need Help? Read…

A: Given query is to find the attached cosine angle between the planes.

Q: st Show all -. If s = 1+3i, t = 2 – 5i and u =– 2+ 5i then calculate your working. Write your answer…

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Q: (c) in the tank to a height of 1 m above its top. Give a definite integral that computes the total…

A: answer is in next step

Q: Determine the inverse Laplace transform of the given function 25 L-1 [s²(s² + 4s + 5)]

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Q: Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is…

A: This question is related to infinite series, we will solve it using given information.

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: 73 dx

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Q: 1. Consider the curve defined by 9x2 – 16 y² + 36x + 96 y– 252 = 0. a) Write the equation of the…

A: To solve the following problem

Q: Find f(-5e3* + VE)dt

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Q: Write the equation in standard form. (Use xp for x’ and yp for y’

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Q: 6. Find the intervals on [0,2r)where f(0) = sin²(0) is concave upward/ concave downw %3D

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Q: marginal cost of a product is modeled by dc 16 dx 16x + 7 vhere x is the number of units. When x =…

A: Given query is to find the cost function.

Q: 9. Find the sum. (a) 22 32 23 33 29 34 310 (b) 1 + 2/2 23/2 11 1/2 1.

A: b)1+1212+12+1232+.........

Q: Find the slope of the tangent line to the graph of y = √x − 1 at the point (5,2).

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Q: 10 9. Consider the function f(x) %3D Let F(r) be the antiderivative of f(z) with F(1) - 0. Then F(x)

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Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). 3 r(t) = e"i+ etj %3D K(t) = ||

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Q: 3 2. (8x2 – 3x) (12x2 – 3) dx

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Q: In Exercises 4-6, solve the given initial-value problem. dy 6. dt 21 e2t, y(1) = 0

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Q: A line passes thru (3, 4) and cuts a right triangle with the coordinate axes in the second quadrant…

A: Suppose the line is: xa+yb=1 where a and b are the x and y intercepts respectively. Now, it passes…

Q: B. Solve for the integrals of the following: 3x2 dx -5 COS xesinx -dr c) ] 4 4x a) b) dx esin z

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