TryMaryviar yıvıar Question 9 of 10 Find the equations of the tangent lines to the graph of y=x2+6 that go through the point (0,-2) and sketch this graph and the tangent lines 1-2) an A PO Ben

Q: Find the function whose tangent line has the slope 8x² + 3 for each value of x, and whose graph…

A: To find the function:

Q: Find the general solution of the given higher-order differential equation. + 16d2y + 4y = 0 dx² y(x)…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, and y are positive.…

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Q: A tank contains 100 kg of salt and 1000 L of water. A solution of a concentration 0.05 kg of salt…

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Q: We are given the following homogenous differential equation and pair of solutions on the given…

A: Here is the solution:

Q: Find the general solution of the given higher-order differential equation. y""+ 2y" 16y'- 32y = 0…

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Q: Find a homogeneous linear differential equation with constant coefficients whose general solution is…

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Q: Find the solution r(t) of the differential equation with the given initial condition: r(t) = (100)…

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Q: A joint density function is given by (a) Find the value of the constant k. k= (b) Find the…

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Q: x) = y" - y² + ²y = 4 + = 4 + ex/2

A: We will solve  the given differential equation.

Q: find the vertical asymptotes of the graph of the function f(x)=ln(x+3)

A: x=a is said to be a vertical asymptote of a function y=f(x) iff as x tends to a f(x) tends to ∞ or…

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

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Q: W Identify the locations of transition points on the interval [2, 4]. (Give your answer in the form…

A: The given function is fx=2sinx+x We have to find transition points in the interval 2π, 4π.

Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact…

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer…

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Q: The linear functions f(z). g(z) and A(z) are shown below JJJ K By multiplying a combination of the…

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Q: Find the area enclosed by the two polar graphs: 1 = 3 and r2 = 6 sin 0. ³/2 (2πT + 2π + 3√/3) A) 3…

A: To find the area enclosed by the polar graphs: r1=3 and r2=6 sin θ.

Q: 5. Previously we used the recurrence relation dn+1 = 0.5dn + 200, d₁= 200 and the assumption that…

A: Given dn+1=0.5dn+200 and dn→L as n→∞. To find L .

Q: 4. A tank with a volume of 1800 gallons originally contains 1200 gallons of fresh water. The first…

A: Follow the procedure given below.

Q: Consider the following. u = −7i - 2j - 4k, V = 4j + 4k (a) Find the projection of u onto v.

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Q: Find the optimal Solution of following transportation system formulated below by 1. Simplex method…

A: Let's solve by using simplex method.

Q: Verify that the two planes are parallel, and find the distance between the planes. (Round your…

A: The objective of the question verify the parallel of given plane and find distance between them .

Q: Evaluate the following expression. Your answer must be in exact form: for example, type pi/6 for DNE…

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Q: ¹(7x) = 5 for the four smallest positive solutions 4 Solve 6 sin x = 1.25,2.75,71.87,458.37 Give…

A: Given, 6 sinπ4x=5

Q: Tutorial Exercise Use the method of cylindrical shells to find the volume V of the solid obtained by…

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Q: Find the length of the curve r(t) = (cos(3t), sin(3t), 4t) for -6 ≤ t ≤ 5 Give your answer to two…

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Q: (2) / 1 - 12/9 - x2 dx

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Q: Integrate: [ sin³ 3x cos5 3x dx [sin³ 3x cos³ 3x dx = [ {ITEM D1} dx = [((ITEM D2]) cos5 3x sin 3x…

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Q: Solve the following ODES by Inverse Operator method. 2X -X • (D²³+1) y = 3 + 2*² + 5 € Ans : y = C₁…

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Q: A barrel is shaped like an ellipsoid with equal pieces cut from the ends by planes perpendicular to…

A: Given a barrel of height 2h and radius at center R and at the has radius r. To find a formula for…

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Make a sketch of the region and its bounding curves. Find the area of the region. The region inside…

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Q: Verify that the given differential equation is not exact. (-xy sin(x) + 2y cos(x)) dx + 2x cos(x) dy…

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Q: Jo (ye* - Inyx) dx

A: The given integral: ∫yex-lnyxdxWe need to evaluate the integral.

Q: Select a formula for the general term ³ of the sequence, assuming that the patt of the first few…

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Q: Find the area of the triangle ABC. A= 52.1° B=32.8° c = 24.1 m What is the area of the triangle? m…

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Q: Determine whether the given set of functions is linearly independent on the interval (-∞0, 00).…

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Q: logists estimate the reproduction curve for swordfish in a fishing ground to be f(p) = -0.01p2 + 7p,…

A: Using double derivative test

Q: UnaUna f(x)=f x+1 Show all your work and simplify the result completely. Find the derivative of e…

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Q: Determine if the following series converges or diverges. If you invoke a test to demonstrate your…

A: A series is convergent if sequence of partial sum (sops ) is convergent

Q: Use spherical coordinates to evaluate the triple integral [[[ 2² + 3² + 2²dV, where E is the ball:…

A: We will first change it into spherical coordinate and then solve it.

Q: If r(t) = cos(-4t)i + sin(-4t)j + Ok compute r'(t)= i+ j+ k k+ C and fr(t) dt=i+ with C a constant…

A: Given: rt=cos-4ti+sin-4tj+0k   As we know that; The Chain Rule: fgx'=f'gx·g'x   And the common…

Q: 27. Calculate the work required to lift a 10-m chain over the side of a building (Figure 13) Assume…

A: We need to determine work.

Q: Find g'(3) given that f(3) = -1 and f'(3) = 2. 3x² - 5f(x) g(x) = g'(3) = = eTextbook and Media 2x +…

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Q: Find the points at which the following polar curve has a vertical or a horizontal tangent line. r =…

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Q: Find the derivative of f(x) = (2x+1)³(3x - 1)³. Show all your work and factor the result completely

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Q: A moving conveyor is built to rise 1 m for each 6 m of horizontal change. (a) Find the slope of the…

A: A moving conveyor is built to rise 1 m for each 6 m of horizontal change.

Q: Find three first order partial derivatives of the following function. f(x,y,z)=(x/y)*sin(z)

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Q: Find the general solution of the given differential equation. dy dx y(x) = = 3y 3y² 2 + Cx Give the…

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Q: A baseball team plays in a stadium that holds 64000 spectators. With the ticket price at $10 the…

A: In this question we have to find the ticket price that would maximize the revenue.