(-4-x)²+2 if x # -5 Let f(x) = 2x + 12 if x = -5 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(x)

Q: b. y = 2x² - 1 x + 1

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Q: lim X118 30x - 7 √√36x² + 7x V

A: limx→-∞30x-736x2+7x =limx→-∞30x36x2+7x-limx→-∞736x2+7x =limx→-∞30x|x|36+7x-limx→-∞7|x|36+7x…

Q: Find the equation of a plane that is perpendicular to the vector 57- 2j+ kand passing through the…

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Q: Given that f(x) = 2x + 5 and g(x)= x² + 5, find: a) f(g(2))- b) g(f(2))- c) f(f(2))- d) g(g(2))-

A: We need to find composite function.

Q: Use the quotient rule to find the derivative of 6 sin(x) - 8 10x10 + 3 You do not need to expand out…

A: Disclaimer: According to guidelines we cannot provide you with handwritten answers  Here is the…

Q: 1.) An= (n +-4: give the first s terms. 2.) An = 48 26 ; insert 5 terms. 3. Ah = {-13, -6, 1,8,...}…

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Q: Given f (x) below, select ALL of the true statements. lim-4+ f (x) = 1 lim, 4 f (x) = 1 lim,-4-f(x)…

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Q: Express the domain for each function using inequality notatation. Enter "DNE" for the empty set and…

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Q: Find the solution of the differential equation dt A. y = 0 B. y = 2 C. y = 2t D. y = -3t E. y = t²

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Q: Evaluate lim 1 1-2x X-3 x-3

A: Here we have to use the concept of limits

Q: 2. Are the planes 2x-y-4z = 10 and x - 2y + z = 4 parallel or orthogonal?

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Q: If x(t) denote the position of a body at time, then the velocity of the body at time t is dt True…

A: Topic = Derivative Correct option =True

Q: dy dx = 4x+xy² y-x²y

A: Topic:- differential equations

Q: 1 — A [1-2 - 2 -5 1+4

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Q: type of radioactive element has a daily radioactive decay rate of 0.9%. If 11 pounds of this element…

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Q: Evaluate lim X-2 4x² - 8x x-2

A: Topic = Limits

Q: Let p(t) represent the population of a major city t years after 1950, as shown in the table and…

A: The population of city after 1950 is given as , Year 1950 1960 1970 1980 1990 2000 t 0 10 20 30…

Q: Part 2. Sketch the graph of a function satisfying all the given conditions. • The domain of f is…

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Q: t) Identify the type of quadric surface defined by the equation 9y²- and find all x-, y-, and…

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Q: P use Lagrange interpolation formula to determine the relationship between the force and velocity…

A: Let's solve using Lagrange interpolation formula.

Q: 7. y = tan (In(5x))

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Given that f(x) = (x-7)2 and g(x) = 7 - 4x, find: a) (f + g)(-3)- b) (f-g)(-3)- c) (fg)(-3)- d)…

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Q: 1) Suppose U(x,y)=4x²+3y²+x0.5y0.5 a) Calculate the partial derivatives of U with respect to x and…

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Q: If g(x) = sin(x) then g'(x) = = g'(5) =

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Q: verify that det(A B) = det(B A) and determine whether the equality det(A + B) = det(A) + det(B)…

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Q: Let h(x, y) = x5 + y sin² x x² + y² 0, if (x, y) = (0,0) if (x, y) = (0,0) (a) Show that h is…

A: We can show that the given function is discontinues .

Q: Q5. Find the directional derivative of the function [f(x, y, z) = xy + y.z+z.x] at the point…

A: Given fx, y, z=xy+yz+zx Point P0=1, -1, 2 Equation of the line is x-310=y-211=1-z2

Q: Show all necessary solutions and box all final answers. √√x² +11-3 x 4 3x²8x - 16° 1. Evaluate lim

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Q: For which value of b the boundary value problem BVP y" + 25y = sin x, y(0) = 0, y(b) = 0 does not…

A: The general solution of the higher order differential equation=CF(complementary…

Q: Evaluate each limit, if it exists: x²-4 a)lim 22-4 X-2 1-x² b)lim x-1 1-x x²-4x x-0 x(x-1) c) lim

A: Here we have to find the limit of the functions.

Q: Find and draw the domain of the partial derivatives əm ¹ of m(x, y) = √x − y + √x+y. əx

A: We can find partial derivative of the given function .

Q: Find a parabola with equation y = ax^2 + bx + c that has slope 10 at x = 1, slop -18 at x = -1 and…

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Q: Consider f(x) defined as follows: f(x) = 5x² + 13x + 6 |x + 2| [4 - 3x] + x, " x < -2 x ≥ −2…

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Q: Q5- Sketch the region of integration and evaluate the integral: √3 2 ²² edydx

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Q: Q1. Find the general solution for the following differential equation: -y² (x²ex² - y²)dx+xydy=0

A: The given differential equation is; (x2e-y^2/x^2 -y2)dx + xydy=0.

Q: 8. Find z₁ if z = xyev, x = rcos (t), y = rsin(t), when r = 2 and t = 516

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Q: (4-x-x² if x ≤ 3 if x > 3 2x-9 Calculate the following limits. Enter "DNE" if the limit does not…

A: We have to find the limit.

Q: ) = (x + 3) can be expressed in the form f(g(x)) where f(x)

A: We have to find the function g(x) according to the given information

Q: Solve the given linear differential equation. Use C as the constant of integration in your solution.…

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Q: Given matrices:

A: Given data:- A=42170-71-53B=12-153345-7C=1-24

Q: Obtain the DE of the family of circles with center on the line y=x and passing through the origin.…

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: If f(x) 4x + 2 3x + 3 find:

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Q: Evaluate the function at the indicated values. (If an answer is undefined, enter UNDEFINED.) f(x) =…

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Q: 16. The y''' of the curve y = v ax

A: We know, ddxxn=nxn-1, for any real number n.

Q: Q5/ A: Solve the following differential equation by Laplace : dy - 4y = 16 t =-6, y(0) = 3 dx² dy dx

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Q: dr de r= (7 + sec 0) sin 0 Find dr de ||

A: See this solution in below.

Q: Find the 53th The answer is function derivative of the function f(x) = cos(x).

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Q: A. FUNCTIONS, LIMITS AND CONTINUITY 1. For the function f(x) = 3× find f(x+1)/f(x-2). *

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Q: Compare the the planes below to the plane -5x + 5y - 5z = 0. Match the letter corresponding to the…

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Q: Fit a second order polynomials to the data in the following: X Y 1 4 3 8 4 10 5 12 6 13 7 10 8 9 93…

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