f(x) = x* - 2x? ... Choose the correct graph below. O A. В. C. D. Ay 10- -40

Q: Find an equation equivalent to x²+ y² + 2z²+ 2z - 5 =0 in spherical coordinates.

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Q: The Pacific halibut fishery has been modeled by the differential equation dy dt where y(t) is the…

A: dydx =ky1-yM⇒y' =0.72y1-y9· 107⇒y=-90000000e0.72t+c11-e0.72t+c1

Q: (sin 3x sin 2x dx 3.

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Q: 19 Convert the Cartesian equation x - 5 = 0 to a polar equation. r = 5cscθ r = 5cosθ r = 5secθ

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Q: Evaluate the following integral: •Vx+4 sin(y – 3y?) dy Jx+4 | 2

A: First we integrate the given function and then we put limit and simplify.

Q: y = x° – 6x, y = x² у — х b. Find the area of the region enclosed by the two equations. Only include…

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Q: dx

A: We will use substitute method to solve this integrate

Q: a?u 2. Solve 0, 0 < x < T, 0 <y<n, + и(0, у) %3D 1, и(п, у) — 1, 0 < y< n и(х,0) — 0, и(х, п) — 1, 0…

A: Solving

Q: State sec(cosec÷) in terms of x. Hence solve the equation 1 sec(cos ec 1 2x

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Q: Write the integral that would be used to find the area bounded by y = x2 + 1, y = x - 2, x = -2 and…

A: Given y=x2+1,  y=x-2, x=-2 and x=2

Q: Evaluate the definite integral. 13 i+ej+t k dt O e13 – 1 -(61 -1) + 1 13 e13 i- (e- - 1) j+ 1 13 2…

A: We have to find the integral

Q: 1. m(t) = -6t(5t* – 1)* 2. y= (x3 + 2)(x² – 1)* 3. y= (x - 8)* (x +3)5

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Q: Select the answer option that corresponds with polar coordinates (2, ). 90° 2 135° 45 150° 30 15° 12…

A: We can find the answer as below by naming the coordinate.

Q: The absolute maximum and absolute minimum value of the function f(x) = 3x – in [-1,4] is: 4.5, 4…

A: We have to find out the maximum and minimum value

Q: 2) Sx sin(2x?) dx 3) S cos?(2y) sin(2y) dy 4) f sec3 x tanx dx

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Q: .3. cot°x csc*x dx

A: Find your answer below

Q: Find the Taylor Series centered at 1 for the function f(x)= 4x3-2x2+x=5. Show with clear work.

A: We are asked to find the Taylor series centered at 1

Q: Find T(t) and N(t) at the given point. r(t) = 2 cos(t)i + 2 sin(t)j + tk; t = 2 T -25 i + 15 k NE) =…

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Q: Use long division to divide. (x³+ 4x²+x+ 4)÷ (x+ 4) x²+ 8x+ 33 x2+ 1 120 x²+ 8x+ 33+ x+ 4 x²– 4 129…

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Q: dy and d'y of the parametric equations Determine da da 1. a (t) = t - 4t and y (t) = 2t – 6t %3D

A: 1)x(t)=t2-4tDifferentiate w.r.t 't'dxdt=2t-4 ---&gt;1dtdx=12t-4…

Q: if 0 < x < 5, if 5 <x < 10. За-15 f(x) 15 - За Evaluate the definite integral by interpreting it in…

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Q: A. Evaluate the following integrals. dx 1. 5+x² dx V4-9x² dx x V16x2-25 dx 4. x2+4x+13 2. 3.

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Q: clearly

A: We have to choose the correct option according to the given information

Q: I need to find the rieman sum not the area

A: Left Riemann sum is same as the area of the rectangles with the left endpoints on the curve.  From…

Q: 4. Sketch the function Ax) = 2xª – 16x², indicating any extrema, points of inflection,

A: follows the procedure given below.

Q: 3. f(x) = 3x² + 8 a. -6x b. 3x с. -3х d. 6x f(x) = x' -1 а. Зх b. Зx c -3x d. 3x2

A: Topic = Derivative Correct answers 3) d 4) d

Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

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Q: Show that (f) and () aoe invesse fondion ARgeboaically @ fix) fex) = " O f cx) = X- I X+5 g(x) = ニ

A: We have to show that f and g are inverse function.

Q: If f(x, y) = 7xey + 7y Inx, then is given by: дудх O 49e5y + 7/x 35eby + 7/x O 25e5y + 7/x O 35e5y +…

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Q: Activity 1.1.3. Each of the following questions concern s(t) = 64 – 16(t – 1)?, the position…

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Q: 5 if x 1 5 4 5 -5 -4 -3 -2 -1 -1 3 4 -2 -3 -4 -5- 2.

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Q: Find the arc length of the parametric curve. x = e', y = e, z = /2t; 0<t<7 L=

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Q: Find the amplitude, period, and phase shift of y = 4 cos (2x). (Express numbers in exact form. Use…

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Q: Find the Integral by using the substitution method.  x(7-x^2)^1/2

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

Q: 3 (e) lim (1 x2

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Q: Find the exact area of the surface obtained by rotating the curve x = 21² +=, y = &Vr,1s153, about…

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Q: Use the zero or root feature of a graphing utility to approximate the zeros of f(x)= 2x³+8x² – 5x-7…

A: The objective of the question is find the roots (zeros) of the given function.

Q: 2. Set up the integral to calculate the area between the curves | (f(x)-g(x)) dx f(x) = x²+2x+1 А.…

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Q: 4cscθ

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Q: Find the principle solution of tan(4 – 4x)= 0. %3D

A: find for x tan(4 - 4x) = 0 4 - 4x = tan-(0)              [ take both side tan inverse 4 - 4x = 0…

Q: 3. Evaluate the following integrals: cos e OP (1+ sin 6) Vsin e G = H = sin (-9x) dr I +1 dr 1² In…

A: We have to find the integrals.

Q: Line L is perpendicular to the Find the slope of line L O a. -4 O b. 5/2 О с. 2/5 С. O d. -2/5

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Q: Prove or disprove. If the substitution u = f(x)dx becomes g(u)du, and if an indefinite integral of…

A: Given problem:- Prove or disprove. If the substitution u = Ø(x) is such that f(x) dx becomes g(u)du,…

Q: Convert x 2 + y 2 = 8 to a polar equation. r = 4 r² = 8 r² = 64

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Q: 29,4 15.4 82.6 A graph of f is shown above. The numbers shown represent the geometric area of each…

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

Q: 30+y 25+ 20 6, 18) 15+ 10 Find the area of the shaded region enclosed by f(x) = x3 + x2 - 6x and…

A: Explanation of the answer is as follows

Q: f(x) = x-1(x² + 1)vx %3D

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Q: Find 2u, -3v, u + v, and 3u 4v for the given vectors u and v. (Simplify your answers completely.) u…

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Q: Use logarithms to solve the equation for t. (Round your answer to two decimal places.) 20 = 10 1 +…

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Q: For the function f(x) = x ln(1+ x°), %3D a) What is the Maclaurin series for f and its interval of…

A: Given function is fx=xln1+x3Maclaurin Series of function fx…