Find the area between f(x) = x^2-13 and the x-axis from x = 0 and x= 3. The area is blank square units.

Q: Equation Find the complete y" - 2y +y = ex X solution of the Differential using Method Variation 어…

A: Please see the below picture for detailed solution.

Q: Evaluate the indefinite integral. fe³√ √13 + x¹dx +C

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Q: produced to achieve a maximum profit Manufacturing time per ski Finishing time per ski Downhill…

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Q: Find the distance between the two points shown below. 2 1 -1 -2- -3 -4 -5 Distance = A 2 B + Ta…

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A: The average daily metabolic rate for certain types of animals can be expressed as a function of mass…

Q: Calculate ff f(x, y, z) dS For Js f(x, y, z) ds = y=7-2², 0≤x, z≤7; f(x, y, z) = = 2

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A: According to question,Given Series,∑n=1∞ 4n23

Q: [(2x- +6) (x² + 6x + 7)²dx by making the substitutionu = x² + 6x + 7. + C NOTE: Your answer should…

A: Given query is to find the value of the integral.

Q: Use a power series to represent the function f(x) Provide your answer below: M8 n = 0 6x + 4…

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Q: of 1² = = dz 15 is The value of

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Q: EXAMPLE 4 Evaluating Trigonometric Functions Given tan = and cos > 0, find cos 0 and csc 0.

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Q: A baseball team plays in a stadium that holds 68000 spectators. With the ticket price at $10 the…

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Q: Establish the indefinite integral: f tanxdx A) In sinx|+C O B) −In\cosx| + C C) sec²x + C OD)-cotx +…

A: The given integral ∫tan x dx We have to evaluate this integral.

Q: The safe load, L, of a wooden beam supported at both ends varies jointly as the width, w, and the…

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Q: Integrate each of the following functions using substitution, finding the most general…

A: we can answer only three subparts, or the first question and the rest can be reposted. No more than…

Q: Find the roots of (D4 +D²+1) Oa 1± √3 1± √√3 1±i√3 fro 2 O b. b − 1 ± √3¸ −1 ± i√3 2 2 2 EM=130 01 ±…

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Q: pose that f is an even function, g is odd, both are integrable on [-7, 7], and we know that S 1…

A: Topic:- application of integration

Q: Assume that the number of people infected by Covid-19 virus is growing exponentially. If the number…

A: Given that the number of people infected by Covid-19 virus is growing exponentially.  the number of…

Q: Evaluate the following limits: a) lim 1+ (1 + √/1² n b) lim x-0 1+x X c) lim(1+sin 4x) cotx x-0*

A: We have to solve Given limits.

Q: Evaluate the integral √2³ (2¹ – 10) "dr by making the substitution = ¹-10.

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Q: If f(x) f'(x) = = x2 - 3 - t² dt then

A: ∫xndx=xn+1n+1+cdxndx=nxn-1dconstantdx=0

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A: Use differentiation to find the horizontal tangent line.

Q: The speed of a particle in a test laboratory was noted every second for 3 seconds. The results are…

A: t0123v96.565.5a) as we know that distance using left end points = v(0) + v( 1 ) + v( 2 )3 - 0…

Q: It is very unlikely that you will have the maximum efficiency. If the actual efficiency is 75% of…

A: Let's find waste heat generated.

Q: In Exercises 61-66, find an equation for each graph. 61. AA -2" 2 4m 67

A: Q 61

Q: 2) Graph 1 period of y = -3sin2x + 2

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Q: If ["* f(x)dx = [ª* f(x)dx + [ª f(x)dx - [** f(x)dx, 6 what are the bounds of integration for the…

A: Given∫abf(x)dx=∫-62f(x)dx+∫25f(x)dx-∫-6-2f(x)dx We are required to find the value of a and b

Q: 3. [sec x tan x dx = (A) sec x + C (B) tan x + C (C) (D) (E) sec² x 2 tan²x 2 +C * + C sec² x tan²x…

A: As per our guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: The graph shows the number of fatal automobile accidents in a certain state for various years.…

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Q: Compute f(x) f'(x) f"(x) f" (1) = = = = f(iv)(x) = 1 1+x² 2x (1+x²)² f(x) = Σ k=0 (6x²-2) (x²+1) ³…

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Q: Find all critical numbers by hand. 2-44 x+7 and

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Q: Use the ratio test to determine if the series converges or diverges 2n n! Σ=1

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Q: Calculate Tu, Tu, and n(u, v) for the parametrized surface at the given point. Then find the…

A: NOTE: Refresh your page if you can't see any equations. . here we have u=5 and v=9 so the point…

Q: Use integration by parts to find the indefinite integral. (Use C for the constant of integration.)…

A: here ln(5x)2 can be written as  ln(5x)2=2ln(5x) ln(5x)2=2(ln5+lnx) now we can write as…

Q: (D³ - 4D²)y = 5, Find Yp 5x2 4 a. O b. 5x² 4 O C. 5x² 12 O d. 5x² 12 e none

A: According to question,Given Differential equation,D3 - 4D2y = 5

Q: Evaluate the integral by interpreting it in terms of areas. 1₁ ( 4 + √9-x²) dx

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Q: 4. lim cos(x )x

A: We can find the limit of the given function by sequential method. Let xn  and  yn be two sequence…

Q: 1/2 S." 2 2 cos ¹(x) dx

A: ∫udv=uv-∫vdu∫0122cos-1xdx=2∫012cos-1xdx

Q: A river is flowing downstream at a constant rate of 5 ft/s. We take a rectangular net that is 6 ft…

A: Given river velocity ( v ) = 5 ftsrectangular net whose area is A A = length × breadth

Q: 14. Find the numbers b such that the average value of f(x) = 2 + 6x - 3x² on the interval [0, b] is…

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Q: (4) Find the volume of the solid obtained by rotating the triangle (2,0)(2, 4)(1, 1) about the…

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Q: are driving a car away from home. Your velocity (miles per hour) t hours after noon is given by vt)…

A: Given query is is to find the velocity at indicated time

Q: Calculate the Taylor polynomials T₂(x) and T²(x) centered at x = 2 for f(x) = ln(x + 1). T₂(x) =…

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Q: Evaluate the integral. r1 7x dx

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Q: y"-y-2y = 0, y(0) = 0, y'(0) = 1.

A: The given differential equation is; y''-y'-2y=0, y(0)=0, y'(0)=1

Q: Find the parametric equations for the line described below. 1. The line through the point P(4, -4,…

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Q: Find the volume of the solid that is obtained when the region in the first quadrant under the curve…

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