-2 t Evaluate √5+² dx

Q: Given the function f(x) = x² – 3x f(2+h)-f(2) h (a) Find the expression (b) Use your result from…

A: The given function is ; f(x)=x2-3x.

Q: Suppose a. ® Г f(x)dx = 36, [ f(x) dx f ' = f(x)dx = 12,

A: The given integral values,    ∫09f(x)dx=36 and ∫79f(x)dx=12

Q: For the IVP, y'=f(x,y), y=yo, x=xo, iff and df/dy are continuous discontinous defined undefined then…

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Q: Find the general solution of the differential equation y" − 6y' + 58y = 0. NOTE: Use c₁ and c₂ as…

A: This given differential equation is 2nd order homogeneous linear differential equation .

Q: ind the angle between the vectors u=, v=

A: Given that u=1,1, v=-5,3To find :Angle between two vectorsSolution…

Q: Find the slopes of the surface in the x- and y-directions at the given point. h(x, y) = x2 − y2 (-2,…

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Q: Find the limit as x approaches 3 for x²-3x 2x²-5x-3

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Q: Let f(x, y) be a function with continuous second partial derivatives. Suppose we know that (-1, 2)…

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Q: Find the limit. lim X→x ←+ -54 -3 -2 -1 00 O-2 f(x) 00 SIEX) 4 m 2 14 -3 2 3

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Q: find the area of parallelogram A=(0,2,0) B=(2,5,2) C=(3,8,4) D=(1,5,2) round to 2…

A: The given points are A=(0,2,0), B=(2,5,2), C=(3,8,4), D=(1,5,2)

Q: Determine la derivada de ƒ (x) = 5 sec x − √√3 csc x - Llene los blancos (sombreados de azul claro)…

A: I have stated the used formulas in the solution

Q: √5-x² LIL -√5 Jo 0 5 I² +2² (x+y) dy dz da

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Q: Suppose the following: [ f(x)dx = 36, "f(x)dx = 12, f" f(x)dx = 12, [²9(x)dx = 24, and h(x): =…

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Q: Prove, using integration, that the volume of a sphere with diameter "d" is πYd³ 6

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Q: ƒ (t) = (sin(t) — ¼ t³)³ - 3 9 g(y) = (2y — 5)-4 — 2² (2y – 5)-² -5 f(x) = (√x + x)¯°h(x) where h(x)…

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Q: Guy wire to a 100-ft tower has a tension of 500 pounds. Writew the component form of the vector f…

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Q: Researchers at two universities have developed a piecewise function that can be used to estimate the…

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Q: Use the figure below to find the exact value of the trigonometric run tan(A) 7 A

A: The solution is given below

Q: Find the indefinite integral using any method. (Use C for the constant of integration.) I'v 1 +…

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Q: Rewrite the following equation with the variables separated. 3xy' + 2y = sin(y). dy (sin(y)+2y) O O…

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Q: Choose the normal vector of the tangent plane to the surface defined by Z = e6x²+14xy-5y² at the…

A: To find: The normal vector of the tangent plane to the surface at the given point. Given…

Q: The area of an ellipse with axes of length 2a and 2b is given by A = Tab. Approximate the percent…

A: Concept: We have given the Area A=πab Here the length a is increasing by 2% which is daa=2% Here the…

Q: find an equation in rectangular coordinates for the equation given in cylindrical coordinates r= 2z

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Q: d 1 (a) / (₁2²+ = + 2²/² +6² +5) X dx d ex (b) (x³ sin(z) +2+1) dx d (ln(tan-¹(x))) dx (c)

A: The given problems can be solved using chain rule of differentiation.

Q: At which octant will you find (-8, 13, -1/2)?

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Q: Given the function xye9-sin² ecos² fxx of f is equal to 0. f(x, y)= The second derivative Select…

A: A detailed solution is given below. fx = partial derivative of f(x,y) with respect to x. fxx =…

Q: The region is bounded by the curves of y = x² and x = y². Find the integral in line y = -1. Use…

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Q: Use the figure below to find the exact value of the trigonometric function of angle A. cos(A) 0.49 X…

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Q: The rate of growth of the population of a city is predicted to be the following, where p is the…

A: topic - differential equation

Q: (d) Determine the y-intercept(s). (e) Sketch the function. (f) Determine the axis of symmetry. (g)…

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Q: Find the trigonometric integral. (Use C for the constant of integration.) [" (cos(20)) (sin(0) +…

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Q: Solve the given initial-value problem. y(x) = y" + 6y' - 7y = 11e2x, y(0) = 1, y'(0) = 1 -7.x 2x 7e…

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Q: 4. What are the values of A, B, C, and D so that 1 a. A = b. A = C. A = d. A = HALA00 B= C= B B 1 8'…

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Q: P(x)=92x-x^2-1760 find limx->40 P(

A: Apply the limits and find the value

Q: 3. 4. S 2t (1²+2) ³ 514 √15 +2 - dt =dt

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Q: 1 2-4 를 -5 금 dr

A: Since the third question is incomplete, solve first and second integral

Q: find a set of parametric equations of the line through (2,8,3) and (11,20,21)

A: The line through the points (2,8,3) and (11,20,21)

Q: 1. Find the total area bounded by the curves y=x²-3x and y = x³ + x² −12x.

A: Given Graphs y=x2-3xy=x3+x2-12x First we find point of intersection of graphs…

Q: Answer the following questions for the function f(x)=x√x²+1

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Q: x) = = ph f and T3 on the same screen. y 2+ -1.0 -1.0 -0.5 -0.5 1 -1 -2 -3 y 2+ 2 1 -1 -2 -3 0.5 0.5…

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Q: 1. Find the second-order prediction error filter and the prediction error variance for the random…

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Q: 5. y = 8x³ - 1 3 4 x 2 - 1 -

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Q: Find a power series representation for the function. f(x) = X 8 - x³

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Q: 2. Integrate the rational function below without using partial fraction decomposition. S -dv

A: Integrate the rational function below without using partial fraction decomposition v2/(v6-1)

Q: Discuss the topic from algebra you used in completing this exercise. Give an example of a business…

A: Concept: Algebra: The area of mathematics known as algebra aids in the representation of…

Q: Use geometry (not Riemann sums) to evaluate the following definite integral. Sketch a graph of the…

A: This question can be solved using the concept of geometry to solve definite integrals.

Q: Find the general solution of the following differential equation. y" - 4y + 7y=0 NOTE: Use c₁ and c₂…

A: Given y''-4y'+7y=0

Q: Evaluate fetanx sec² x dx

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Q: Find 10 partial sums of the series. (Round your answers to five decimal places.) 00 n=1 15 (-2)^

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Q: Find the general solution of the following differential equation. 64y" +80y + 25y = 0 NOTE: Use c₁…

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