√2² This can be transformed into a basic integral by letting Consider the indefinite integral U= du- C 2 and √x – 2 dx: Performing the substitution yields the integral > Next Question

Q: Find the derivative of the function. y' = x cos - x cos-¹(x) y = √1-x² 1- x² -

A: Given that y=1-x2-xcos-1(x)

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Q: •24-x2 신 0 0 -4-y 0 x dzdydx

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Q: on using a single vector function (including domain) of the following curves in R

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Q: Let y(t) be the solution to Use Euler's Method with time step ntn 00 10.2 20.4 30.6 40.8 51.0 Yn 2…

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Q: Find the area between the graph of y = 5 - 5x^(2/3) and x-axis and −1≤ x ≤ 8 using properties of…

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Q: Find the derivative of the function. y' = y 1 - x² - x cos-¹(x)

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Q: _f(x) = 2 X 1 - 2x

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Q: (4) Compute the following: I7 (a d da na" = I7a6 Jn:2x-1 haban toy (b) d dx P [etan z] tanx ₁₁)] (x²…

A: according to bartleby guide line we do only first part ofmultilly 4(a)      d dx(lnx7(x2-x+3)11we…

Q: 35. Verify the following: sec sin 0.tan 0 sin e cos² e

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Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

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Q: Find the area of the surface generated when y = 2√x from 1 ≤ x ≤ 4 is rotated around the x-axis.

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Q: 11) If the Taylor series of a function has the general expression xn f(x) = En=on! The corresponding…

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A: Given query is to find monthly payment.

Q: Sketch the curve. r = 9 cos(8) O -4 ac -2 O y 2 -8…

A: Given query is to sketch the curve and find the area.

Q: A firefly is flying along the path defined by r(t) = 20. At hat point(s) along the firefly's path…

A: Given position vector r( t ) = { t2 , 5-t2 , t3 } r( t ) = t2i + ( 5-t2 )j + t3kas we know that a( t…

Q: bounded by the following curves: y = x³/2, y = 8, x = 0, y = 0. Find the volume of the solid…

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Q: Find the Taylor series (general form) of f(x): 1 X centered at x = 1.

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Q: Find the vertex, focus, and directrix of the parabola with the given equation. Then graph the…

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Q: Does the series converge conditionally ot absolutely

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Q: 4. Trace the curve: y² = x²−4x−12 x²-2x-3

A: for x intercept put y=0for y intercept put x=0y2=x2-4x-12x2-2x-3

Q: Find the area of the region bounded by the graphs of the algebraic functions. f(x)=x² +34x+289 g(x)…

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Q: Consider the function f(x) = x4 − 4x3 + 10. Your goal is to graph this function without the use of a…

A: Given, fx=x4-4x3+10

Q: Solve the initial value problem dy € + ² = 5x√ỹ, _y(1) = 2.

A: standard form is dydx+p(x)y=q(x)given  dydx+yx=5xydivide by y  both sides 1ydydx+1x×yy=5xwe know…

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Q: Solve: y (cosx)= (9+ y²)

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Q: The inverse Laplace transform of A. e³t (3 cos(5 t) + 5 sin(5 t)) C. e-3t (3 cos(5 t) + 25 sin(3 t))…

A: we want to find L-1 [ 3s + 34s2 + 6s + 34 ]

Q: (From Briggs) 1. Without evaluating integrals, explain the following equalities. a. b. 7(8-2x) dx =…

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Q: Two sides of a triangle are 16 and 8. Find the size of the angle 0 (in radians) formed by the sides…

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Q: 20) Explain the idea behind l'hospitals vule.

A: use an  example to understand the l hospital rule.

Q: 8). If y is a differentiable function of X, then the slope of the curve of; 3 = 6 at point where y=1…

A: Note: Since the student has mentioned to solve question no. (8), so we are solving according to…

Q: Use Stokes' Theorem to evaluate SF. ds, where F(x, y, z) = (-xy, -xz, -yz) and C is the triangle…

A: Given that , Fx,y,z=-xy , -xz , -yz and C is the triangle with vertices 0,1,0 , 0,1,5 , 3,1,0…

Q: Solve the equation: 3*²-5x x = 3 x = 5 and x = -5 O x = -5 x = 3 and x = -5 || 27.

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Q: 7. The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

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Q: 12. Find f x √(1-x²)³ dx

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Q: Use the Second Derivative Test to find all local extrema, if the test applies. Otherwise, use the…

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Q: 16) Sinx-cosy-2=0; dy = ? A) -cot X c) CosX siny B) -cot y d) -cscy cos X E) 2-COS X siny

A: given 16) sinx - cosy - 2 = 0

Q: Determine whether the series given by Σ±% (-3) k+1 (-3)*+¹

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Q: Use Stokes' Theorem to find the circulation of F = 4y? +7zj + 7xk around the boundary of the surface…

A: According to question,Given vector,F→ = 4yi→ + 7zj→ + 7xk→z = 64-x2 + y2for z≥0.

Q: y = 12 - x², y = x² - 6

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Q: Consider the ellipse defined as 9x² + 25y² +90x-50y +25=0 • write the standard form equation of the…

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Q: Use the power series method to solve the given initial-value problem. (Enter the first four nonzero…

A: The given initial value problem:x+1y''-2-xy'+y=0 ; y0=8 ; y'0=-1

Q: X Find the point of inflection of the graph of the function f(x)=2sin on the interval [0, 147]. ○ (7…

A: Given query is to find th point of inflection.

Q: 14. Given g(x) = f(t². + 6t16) dt, find intervals on increasing / decreasing and concave up/ concave…

A: The given integral function is: g(x)=∫-22x t2+6t-16 dt

Q: Find solutions to the equation. 5 Tan²x + Tanx = 2 on x=2 on interval [77, 27). Round olutions to y…

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Q: Find the polar equation of the hyperbola xy = 4.

A: Given query is to find the polar equation.

Q: 6) Show that (2xy, 2yz + is conservative.

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Q: 3) lim X^ X-O' B) i A) O де D) ∞ a(3) = 3₂ E) nove eriste

A: Given query is to find indicated limit.