1) If y = (x-a)√2ax-x² + + a is constant. x- -1(*-ª) ,then y' = 2√2ax - x² a² sin-¹ a²

Q: d. e. f. 1 R, Re 1 1 + 4.5×10²2 9.4×10² (1.7×10³ J)-(3.3 × 10² J) (1.7×10³J) = - e= (1.33) sin 25.0°…

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Q: Typewritten for an upvote. No upvote for handwritten. Please skip if you have already done this

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Q: B. Find the slope of the curve at the given point. 16. 2x²-3x+1 at (2, 3) 17. =3x²-2x+1 at (-1,6)…

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Q: Find in the parametric equation d'y dx² x = 5 sin² t y = 2 cost 0≤t≤ 2π.

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Q: Graph two full periods of the function f(x)=cos(4x) and state the amplitude and period.

A: Given problem:- Graph two full periods of the function f(x)=cos(4x) and state the amplitude and…

Q: An 84 cm wire is cut into three pieces. The second piece is 4 cm longer than the first piece and the…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Question 16 This equation represents what? O a sphere an ellipsoid O a paraboloid O a double cone x²…

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Q: II. Find the inverse of each matrix. 5 -11 1. -7 -9

A: A-1 =1AadjA .

Q: Solve the equation: (D² - 4) (D+2) y = 0 Oy=c₁e²x + c₂x²x + c3e-²x Oy=ce+exe + c3e

A: To solve the given differential equation.

Q: я f (x) = (x2 + 3x)³ . (4x3 - 5x) 7 - -

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Q: Determine the x - y coordinates of the points where the parametric equation x = 5 sin²t y = 2 cost 0…

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Q: tan x 4. f dx csc x sec (In x)dx 5. X dx 6. f 1- cos 2x

A: I have stated the used formulas in the solution

Q: what substitution formula is used here ?

A: the substitution formula used here is-

Q: Find the indefinite integral. (16x +13) In (2x)dx Select the method of integration that should be…

A: Integration by parts ∫udv=uv-∫vdu

Q: #6 Suppose the position of a projectile is expressed by the vector-valued function Describe how you…

A: As per Bartley guidelines we are supposed to answer only three subparts of one question per post.…

Q: USING WASHER METHOD Find the volume of the solid obtained by rotating about the y-axis the region…

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Q: Suppose a state's income tax code states that tax liability is 18% on the first $19,500 of taxable…

A: The tax function,   T(x)=a+0.18xx≤19,500b+0.14x-19,500x>19,500

Q: s 3- 2- 1 1 -5-4-3-2 -3- The graph below can be represented by parametric equations of the form […

A: topic- parametric equation of a curve

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

A: We need to find horizontal and vertical component.

Q: The current population of a certain bacteria is 2050 organisms. It is believed that bacteria's…

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Q: Find the area of the region bounded by the curves y = x² and y = -x² + 4x.

A: Here we have to find the area bounded by the curves.

Q: Find the derivative of the function and then evaluate at the given point. y = 2x² - 3x: (-1,5)

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Q: State what the Divergence Theorem says, using your own words. You may assume that E is a solid in R³…

A: We can state the Divergence theorem .

Q: Let a(t)=20e^-0.3t ( in milligrams) be the amount of drug in a patients body at time t where t is…

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Q: 16y¹ fit+22 (x,y) → (0,0) (b) lim (0'0) ← (¹x)

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Q: 3. fx²(9-x³)5 dx 4. J√4x-1 dx

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Q: 1. Find the area bounded by the curve y = x^2  and the x-axis and the ordinates x = 0 and x = 2 2.…

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Q: Find the Fourier transform of Hint: Use the integral formula Se-¹² du = √π e-a²₁²

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Q: Question 8 f the Cartesian coordinates of a point P are (0, 1, 1), then the cylindrical coordinates…

A: Convert Cartesian coordinate to cylinderical coordinates

Q: 3. Use the cross product properties to prove the relation (a - b) × (â+b) = 2(â × b) given a = (1,…

A: Given,a=i-3j+2kb=-2i+0j+k

Q: 2) fff (x² + y² + z²)ž dv D is the unit ball. Integrate using spherical coordinates.

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

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Q: Let S be the collection of points (x, y, z) that satisfies all of the following inequalities: 0 ≤ x…

A: Here Z is function of x and y so first we have to integrate w.r.t z then x and y.

Q: e. at the course h the courf. e obtained fr eln (1-t) - dt 1-t A ed to you in any form is ed on [√x³…

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Q: If u and are non-zero vectors and Proj=0, then which one of the following must be true? O The two…

A: Two vectors u and v are orthogonal if u.v =0 .

Q: In 7 + 4√3 2.63391 ≈

A: The given expression is  ln7+43

Q: 1. d²y dy +6- dt² dt +8y=-4 cos(3t)

A: We need to solve D.E. As per Bartleby's guidelines we can solve one question from multiple question.…

Q: hich point is on the line parametrized by the following? (-1, 2, 3) (3, 2, 0) (0, 0, 0) x = 3-t y =…

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Q: Solve for the slope of each of the given point of a function

A: Given that,

Q: 1. What is the smallest number that can be exactly divided by 2, 3, 4, 5 and 8? 120 20 12 24 2. What…

A: A detailed solution is given below.

Q: Find an equation of the plane tangent to the following surface at the given point. yz e x² + +42=0;…

A: The given equation is;  yzexz+42=0; (0,-7,6).

Q: This triple integral represents the volume of a cylinder. O True O False 2π V = f²f²f² r dz dr de

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Q: 5. Set up an iterated triple integral in the order dxdzdy that gives the volume of the solid in the…

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Q: x4 Lz²+9dx 3x³ +9x−27 tan- ¹ (-) +C Option 1 x³ − 9x + 27 tan−¹ (3) + C Option 3 3x³ + 9x 9x + 27…

A: Here Is the solution

Q: -6 +][]+ 3 5 0 3 -2

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Q: Let f(x, y) = 10-3r² +4. (a) Find the gradient Vƒ(2,-3) of f at the point P(2,−3). (b) Find the…

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Q: д 1 Option 1 Option 3 1 1+ 3x2 2√3 9 2 3 3 dx Option 2 Option 4 √3л 9 √3л 3

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Q: P 2. ( Use the disk or washer method to find the volume of the solid obtained by rotating the region…

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Q: √(√x³ - 2 1/2 + √²) d dax In x++²x+ }\x² +C √√(x³)x=√x + √√2x+C

A: SOLUTION-

Q: cos 3t dt 5 + 3 sin 3t Ocos 3t

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