Evaluate lim X-2 4x² - 8x x-2

Q: Evaluate the integrals S 1 x2-7x+10 dx

A: As per the company rules we are supposed to answer only the first question and rest other can be…

Q: е 3. S d 5√x é √x eve

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Q: 191. y = √x from x=2 to x = 6

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Q: Find the open interval(s) on which the curve given by the vector-valued function is smooth. (Enter…

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Q: For the equations below, q is the total number of units produced per day by m employees of a…

A: Given: q=500m-m250=10m-m250 ;p=-0.3q+80  =-0.3×10m-m250+80  =-310×10m-m250+80  =-3m+3m2500+80…

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: Given matrices:

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

Q: lim. sin(t) t =

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Q: 3.) (t+z)dt - (z - t)dz = 0

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Q: aquar the aquarium. (Use Show how to approximate the required work (in J) by a Riemann sum. (Let x…

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Q: hi isn't f(-4), not f(4)?

A: we can solve it by the observation of graph.

Q: Find the differential equation of families of straight lines with slope and x - intercept equal. a.…

A: To find differential equation with given conditions.

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

A: Let's solve using Lagrange interpolation formula.

Q: [10 01 00 LO O 00 00-5 -5 O 0 00 01

A: Given :Matrix = 1000010000-500001

Q: Q5/ A: Solve the following differential equation by Laplace : d²y dx² - 4 y = 16 t

A: Differential equation

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

A: Please see the below picture for detailed solution.

Q: x³-4x-10=0 1 Use your calculator to determine the next five estimates using x₁ = 4 as the initial…

A: Given :

Q: 5. S sin(3 ln x) X dx

A: Need to find out the integration.

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: In a Northwest Washington County, the speeding fines are determined by the formula: F(s) 15(855) +…

A: F(s)=15(s-55)+80

Q: 10. 2/3 5² √4-9x² dx

A: As per our guidelines we are suppose to answer only one question, kindly rest can be reposted.…

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

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Q: 5. The f'(7) for y=v

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Q: Part I: Directions: Complete the table below. EQUATION CENTER 1. C(0,0) 6. 4. x² + y² = 64 x² + y² -…

A: From given table

Q: Evaluate lim √9x² − 5x + 1 + 3x 3x). X118

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Q: dz Find where z = 3x²y³,x = t¹ and y = t² dt

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Q: Suppose that f(5)=1,f'(5)=7,g(5)= -8, and g'(5) = 4 Find the following values. (a) (fg)'(5) (b)…

A: Suppose that f(5)=1,f'(5)=7,g(5)= -8, and g'(5) = 4 Find the following values.   (a) (fg)'(5)   (b)…

Q: Y X arb 1.5 Lab Activity In BMX dirt bike racing, jumping high (or "getting air") depends on many…

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Q: Let f(x)=3x+5f(x)=3x+5 and g(x)=4x2+2xg(x)=4x2+2x. After simplifying, (f∘g)(x)=

A: We can find the composition of the function.

Q: Use the intermediate value theorem to show that there is a root of the given equation in the…

A: Given function :  (a) x3=1−x So, f(x)=1−x−x3  on  (0,1)

Q: dz dt If (z=x. y), where x = cos (t) and y = sin (t) Q3. Use the chain rule method to find

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Q: 6S-4 Q4/A: 1- L-1. 52-48+16 B: Fit a second order polynomials to the data in the following: X 5 6 Y…

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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: Find the derivative of f(x): = 5-√√/x 9 51% Type your answer without fractional or negative…

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

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Q: 10. Integrate the Exp./Log. Function (integral calculus)

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Q: Find the a. 3yx² + y² = k b. 3yx² - 3y³ = k 3yx² - y² = k solution of the DE y' c. d. yx² - y³ = k…

A: The given differential equation is  y'=2xy/y2-x2

Q: (B): use the directional derivative to estimate how much f(x, y) = cos(xy) + xy² Will change if the…

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Q: Find the slope of the graph of the equation at the given point. (If an answer is undefined, enter…

A: Our Aim is to find the slope of the graph of the equation xy-3y2=8-(i) at the given point (14,4)

Q: Which of the following is an integrating factor of the differential equation ydx - xdy = 0. d. xy 1…

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Q: If f(x) ƒ'(x) = | = 4x sin cos x, find Find f '(1) =

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Q: If f(x) ƒ'(x) = = Cos = ƒ'(2): = 2 tan , then

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Q: Eliminate A and B from the relation y = Ae²x + Bxe ²x

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Q: Q2. Determine the complete solution for the following differential equation: y"+y'+0.25y=0 if y(x) =…

A: y''+y'+0.25y=0 let y=emx y'=memx    ;   y''=m2emx…

Q: lim X 11 2 3√ x² + 4 - 5 2x²-15x-77

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Q: Determine 4sin(x); the value of the arbitrary constants y(x) = C₁e* + c₂e¯* + y(0) = 1, y'(0) = -1…

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Q: Find the slope of the graph of the function at the given point. (If an answer is undefined, enter…

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Q: Find the antiderivative F(x) that satisfies the given condition. dF dx = -5ex - 4x; F(0) : = -9

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Q: 2 .  Approximate  6 4 1 ln(x)  dx  using the midpoint rule with four subdivisions to four decimal…

A: Given :∫461lnxdxn=4