Find the derivative of y = 3x² − 2x + dy = 6x 2 dx dy dx dy dx Oy = = 3x - 1 = 3x - 2 6x - 2

Q: Find the slope of the graph of the function at the given valu 8 f(x) = 4x² + - when x = 5

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Q: - ƒ(x) = (x² + 3x) (x−¹ − x¯4)

A: ddxx2+3xx-1-x-4

Q: Find Vectors and Perform Vector Operations in R³ Let à = (3, 2, 2). Find a unit vector in the…

A: Given query is to find the unit vector.

Q: Solve the given initial value problem by using Laplace transforms. y" + y = 2, y (0) = 4, y'(0) = 3…

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Q: 15. Find the area inside the circle r sin and outside the cardioid r = 1- cos 0.

A: Since, you have asked multiple question, as per company guidelines I will solve the first question.…

Q: So So Va² +8 dx dy x=√y

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Q: A sled is pulled along a level path through snow by a rope. A 30-lb force acting at an angle of 40°…

A: Work done by a force F unit acting at an angle x°, creating displacement of y unit is given by,…

Q: 8 1. r = sin 20 2. r = cos 20 3. r = sin 40 4. r = cos 40 5. r = sin 30 6. rcos 30

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Q: Set up iterated integrals for both orders of integration. Then evaluate the double integral using…

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Q: M3.2. d. A cadet engineer determines that when x hundreds of units of a particular commodity are…

A: We need to find out the instantaneous rate of change of P(x).

Q: Find the differential of the function f(x, y) = x√y at the point (2, 7) using Az = 0.3 and Ay = 0.15…

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: solution:-the region bounded by 27y, x=0 and y=3 rotating about y-axisusing cylindrical shell…

Q: S x² x²+49 -dx

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Q: A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German…

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Q: 28. (2A + B²)4

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Q: Question 9 Determine the derivative of the given function: y = ²2t Oy=t² (2¹) + 2(2¹) (t) Oy In 2(2)…

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Q: 4. Find the general solution to the DE 2x²y + xy'-3y=0.given that y₁=- is solution.

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Q: dr Solver +rsece = cose Select one: O a r= O b. r= O c r Od r O e r= 20 - cose + c seco - tane 0 +…

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Q: A rectangular poster is to contain 162 square centimeters of print. The margins at the top and…

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Q: Evaluate the double integral. 4y 1634², 0-{(x,x108281,0882²} D = {(x, y) 1 0 ≤ x ≤ 1,0 ≤ y ≤ x²} 5x5…

A: See this solution in below.

Q: f(x) || = ex 1 - ex

A: ddxex1-ex

Q: Question 26 Find the second derivative (y") of the given function: y = e² sin z *)(2(- sin x)) e²…

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Q: Calculate the partial derivatives of a function of two variables. Given f(z, y) = 10 + 4y + 7zy,…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: b) For each of the following, let A and B be some sets, both subsets of universal set U = {x|x is an…

A: Please see the below picture for detailed solution.

Q: Find the volume of the given solid. under the plane x - 2y + z = 5 and above the region bounded by x…

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Q: Find the second derivative [f"(x)] of the given function: f(x) = eln / +2 O 2 (²+2) (5) (²+2)√²+2…

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Q: Evaluate the double integral. 116 4x². (+² + 2y) dA, D is bounded by y = x, y = x³, x ≥ 0

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Q: The half-life cesium-137 is 30 years. Suppose we have a 100 mg sample. a) Find the mass that remains…

A: The equation for decay is:Pt=P0ektwhere t=time in years, P0 is the initial mass.

Q: - Find the area of a parallelogram formed by the vectors PQ and PR, where P = ( − 4, – 4, — 6), Q =…

A: See the details solution in below

Q: Prove the identities sinh(2x)=2sinh(2)cosh(2)

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Q: Consider f(x) = 5x + 4 and g(x) = x² + 4x − 21. • You must combine all like terms before you submit…

A: Since, you have posted multiple questions, as per guidelines we"ll solve only first three parts. If…

Q: Find the differential of the function. y = e³x dy = =

A: We have given function  y=e3x dydx=ddxe3x dydx=e3x·ddx3x dydx=e3x·3 dydx=3e3x dy=3e3x dx

Q: Answer seems to be wrong

A: Given function:- 8x2-y2-7z=362

Q: In getting the derivative of a variable raised to a variable y = [f(x)](2), which of the following…

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Q: 11-14 Find the differential of each function. 11. (a) y = xe-4x (b) y=√1-14

A: Solve the given

Q: It still seems to be a incorrect answer

A: The given function is; f(x,y,z)=√(4x2+3y2+2z2)

Q: Find Vectors and Perform Vector Operations in R³ Let à = i + 27 + 3k. Find ||a||.

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Q: Let f(x) = 0 for x < 0 and f(x) =x3 for x ≥ 0. Match the following. Here DNE means does not exist.…

A: Givenf(x)=0,x&lt;0f(x)=x3,x≥0We need to findf'(0),f''(0),f'''(0)

Q: d Perform the following Operations on the | 14 = (-2₁-3₁-5), V = (4₁-2₁-1) to W² = (-404) R₁W = [ (u…

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Q: Find the derivative

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Q: J. R (x + y) dA where R is the region bounded by y = √x and y = x².

A: The answer is in step 2.

Q: Find the cross product axb Where a = <-4₁0₁22 and 6= (-2, 5, -27. laxb-CD, Find the cross product…

A: In this question we have been given two vectors and we need to find their cross product.

Q: 19. a) Find an equation of the circle that satisfies the stated conditions. Center at the origin,…

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Q: Solve cosx dx + (sinx)y=1 Select one: O ay sinx + ccosx O b. y = 2sinx + 2cosx + c O c. y = sinx –…

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Q: 5. | tan’xsec*xdx

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Q: If the point P is on the graph of a function f, find the corresponding point on the graph of the…

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Q: Calculate Dot Product Let a = and ☎ - - Find k so that a and k = . will be orthogonal (form a 90…

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Q: Find Cross Product Let à = (3, – 3, — 4) and 6 = ( − 2, – 3, 5). Find à x 6. V

A: Given query is to find indicated cross product.

Q: 4. f(x)=2", a = 0

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Q: 1. Find the double integral over the region R bounded by the functions. Choose the more convenient…

A: To find:- ∬Rx3y2dA ; y=x,y=0,x=1 ∬xeydA ; y=x,y=0,x=1 ∬RxydA ; y=x2+1,y=3-x2