2 -3 sin x 2. Find + 4e*+3 dx. cos? x

Q: )Let f ( x ) =3x4 + 4x3 find the absolute extrema f(x) on (-2,1)

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Q: f(x) dx = -4, f(x) dx = 6, g(x) dx = 8 - If g(x) dx b. c. 3f(x) dx d. dx x) - g(x)] dx g(x)] dx e.…

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Q: V3 - 2s ds 02 40

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Given f''(x) = 4x – 5 and f'( – 3) = 3 and f( – 3) = 6. %3D Find f'(x) = and find f(3)

A: Given, f''x=4x-5 , f'-3=3 and f-3=6 We have to find f'x and f3.

Q: Use the PARTIAL DERIVATIVES and find the implicit derivative dy/dx at (r, y, z) = (1, 1, 1) on this…

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Q: find the derivative of y = x3/x

A: Given y=x3x

Q: dx the correct solution of this integral is:- 1+x A) 2 V5 В) Зл

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Q: How 3 Find the absalutemaximes and minima far the funCtion (4x-x) Cosy an the rectangular plate…

A: Solution is given below:

Q: Verify that the function satisfies the three hypotheses of Rolle's theorem on the given interval.…

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Q: x'+ x°)dx (x³+5) to 3

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Q: nswer the following Truê ôr False! f(r) is an antiderivative of v(E), then f(x) + 8 is an…

A: We have to check the following

Q: Learning Task 2: Expand each function (using the appropriate technique/ formula). Compute the…

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Q: Consider the following function. f(x) = 16 – x2/3 Find f(-64) and f(64). f(-64) = f(64) = Find all…

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Q: dy 1+y+1

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Q: 6. (6x – 3y + 2) dx - ( 2x - y– 1) dy = 0 ans. 3x - y + C = 5 In | 2x - y + 4|

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Q: Sales of a Product The total number of units of a new product sold t months after its introduction…

A: see below the answer and explanation

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

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Q: Consider the following planes. Sx+ 6y -2= 66 x- 12y + 22 0 (a) Find the angle between the two…

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Q: Choose the correct speed and direction of a plane with a velocity of (5,-12). 13,113° 17,293°…

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Q: In each part, use a scalar triple product to determine whether the vectors lie in the same plane.…

A: This question is related to vectors, we will solve it solve it using given information.

Q: Determine whether the planes are parallel, orthogonal, or neither. бх — 5y + z %3D4 x + 2y + 4z = 1…

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Q: 3. A metal plate is lying in the region bounded between the circles r? + y² = 1 and 1² + y? = 4 and…

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Q: Find the dimensions of a rectangle with a perimeter of 140 feet that has the maximum area. The side…

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Q: (sec3x The integral of the given function f (sec dx is \tan3x. cot³3x cot3x + C 3 а. 9 cot3x cot3x…

A: cot2x+1=csc2x sec(x)tan(x)=csc(x) ddx(cotx)=-csc2x ∫xndx=x(n+1)n+1, for any real number n.

Q: An open box is to be made from a 16 inches long and 10 inches wide rectangular pieceof metal by…

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Q: Find the slope of the graph of f(x) at the point where the graph crosses the r-axis. pe = Find the…

A: Topic:- application of derivatives

Q: Find the exact length of the cur x =t sin t y =t cos t for 0 <t < 1.

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Q: dy dx 1+8sin ?x 1 Given tan(3y)=3 tan x . Show clearly that

A: As we know that; The chain rule: fgx'=f'gx·g'x   The trigonometric identities; 1). tanx=sinxcosx 2).…

Q: dy If y2=2x+3y dx find then use it to find the tangent line to the curve at the point (3,2) For the…

A: Solution is given below:

Q: 8)Suppose the total cost of a certain product is C(x) = 0.001 x2+ 5x + 300. The product can be sold…

A: Find your answer below

Q: In(&x³) f(x) = 1-9e-* -2x 1-9e 2

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Q: Find the general solution of the given DE (x-3y-1)dx-(x-3y+5)dy%3D0.

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Q: Solve the differential equation: dx+(x-y+2)^2dy=0

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Q: dx + (x – y + 4)²dy = 0

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Q: Find the domain and range

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Q: In each part, use a scalar triple product to determine whether the vectors lie in the same plane.…

A: a) u=2,-2,2, v=3,0,-2, w=5,-2,0u.v×w=2-2230-25-20u.v×w=2(10)+2(-4-6)u.v×w=20-20u.v×w=0Since ther…

Q: Y = 2 Arccos ( 1 -) + v4x – x²

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Q: 1. Given f(x) S(x) = x² + 4x - 2 and g (x) = 3x – 4 , find the composition of functions for the…

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Q: 4 5 Replace the letter A in the integral | A(2æ® + 4)* dæ so that the integral evaluates to - (2a® +…

A: Given,            The integral∫A2x6+44dx evaluates to 152x6+45+C.To find : The value of A.

Q: (a) Differentiate f(x) = Vx+4 by using the first principle. (b) Differentiate the following…

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Q: what is the area between the curves: y = 7 cos( pi*x),    y = 12x2 − 3

A: 7cos(πx) and 12x2-3

Q: (sinx)" dx is:- 4) The solution of (sin x) dx A) (sinx)' dx B) C) Zero

A: ∫0πsinx7dx=∫0πsin7xdxWe know…

Q: 4. Given f(x)=x+-: a) Find all asymptotes and state their equations. b) Find all local max/min…

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Q: Find the volume of the parallelepiped with the given vertices . (0, 0, 0), (0, 4, 0), (-3, 0, 0),…

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Q: Learning Task 2: Expand each function (using the appropriate technique/ formula). Compute the…

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Q: 4. y = tan¬1(3x) cos 1 4x 5. y =

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Q: Directions: In implicit differentiation, we differentiate each side of an equation with wo variables…

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Q: (2) Use logarithmic differentiation to find . Do NOT use the quotient rule here. e4x y = (x3 + 4)3…

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Q: A rectangle is expanding such that its length is always 4 times its width. If the width is…

A: Let's find.

Q: Consider the function f(r) 10r 10 + 9x° 2x2 6. Enter an antiderivative of f(x). Do not enter +c as…

A: Solve for the antiderivative