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

Q: Which of the following are parametric equations for the entire line y = x + 1? Choose all that…

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Q: fs = t³ - 1250t², when will the acceleration seconds)? O 5 seconds O 3.5 seconds O 4.5 seconds O4…

A: Using differentiation we get acceleration

Q: The given definite integral is equal to x3 dx Jo x + 1 O 1.23 O 0.43 O 0.18 O 1.42 Onone of the…

A: The given integral:∫01x3x+1We need to evaluate the definite integral.

Q: Find the volume of the region enclosed by z = 1 - y² and z = y² - 1 for 0 < x < 42. V =

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Q: solve by differential √226

A: To solve by using differential.

Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F =…

A: Here, the outward flux is given by: ∫∫DDiv(F) dA…

Q: I ++ y + 22 Z 1) Consider the system of linear equations 3x 11. If we are using Cramer's Rule, we…

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Q: find the volume of a solid limited by a cylinder = x^2+y~2=25, by a plane = x+y+z=8

A: Concept: Volume using triple integrals: Let D be a space region that is closed and bounded. Let a…

Q: e. 4 e2z 1+etz dz

A: topic- definite integral

Q: If u and are orthogonal to each other, then u x O True False = 0.

A: Given :u→ and v→ are orthogonal

Q: Tiffany has the following coins in her piggybank a 1cent, 5cent, 10cent, 25cent, 1 dollar and 2…

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Q: Find all the values of x such that the given series would converge. ∑_(n=1)^infinity((−1)^n x^n…

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Q: Use integration by parts to find the integral. (7x-3) e-2x dx -2x dx = (7x-3) e

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Q: क्ने Find the curl of F(x, y, 2) = (2x,3y, 52). depends on the point (x, y, z) ● 10 O

A: Let's find curl.

Q: Solve the given differential equation. All solutions should be found. (3y² + 2xy) dx − (2xy + x²) dy…

A: A detailed solution is given below.

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: A pilot heads his jet due east. The jet has a speed of 450 mi/h relative to the air. The wind is…

A: Let's solve all given questions.

Q: 1/2 x3 1-x4 1/2 √3 - 2/2 √2/560 16 Option 1 1/11 Option 3 1 15 2 16 dx 1 Option 2 Option 4 15 8 √15…

A: Given, ∫012x31-x4dx

Q: no working required just final ans

A: To solve the following problem

Q: Evaluate the integral. 37 (x - 1)(x² + +36) dx

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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: Solve the following using the inverse matrix method: (Show your solution) 13 3x + 2y 5 x + 4y 5x + y…

A: As per bartleby guidelines we only give first question answers.

Q: Evaluate the Integral Sec² √r √x dr Njw SYD

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Q: Find f(t). f(t) = = - 3s 1 - s²(s + 1)³

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Q: 2. Evaluate da da dr d. 1/2/3+2/²+1/+1 f. 2√x+3+x

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

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Q: An airplane takes off from an airport at sea level and its altitude (in feet) at time t (in seconds)…

A: The given equation is: h=3400lnt+1   ...1   As we know that; The Power Law: ddxxn=nxn-1 The Chain…

Q: Find the volume generated if the area between y = coshx and x from x = 0 to x = 1 is resolved about…

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Q: 1) Approximate (3+x-x²) dx with a left-endpoint Riemann sum using four equal subintervals. 2)…

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Q: Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F and…

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Q: 3* - 128 12/8 256 (Sin 2x) + 1024 (sin 4x) - Sin³2x 1900 320 0

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Q: If Vf = F, then F is called a potential vector field, and f is called a conservative function. O…

A: Answer: True

Q: 5. Find parametric equations for the line through the points (1, 3, 0) and (2, 4, 4).

A: The line passing through the points 1,3,0 and 2,4,4

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: Use Cartesian coordinates to evaluate JJ v² av where D is the tetrahedron in the first octant…

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Q: (a) Find the general solution of each of the differential equations: dy 8e2x - 4x dy dx = 12e - 10y…

A: Solved below.

Q: V1 - (In x)² x ln x VI dx

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Q: 2 Find the area bounded by the parabola y = 4x and the line y = 2x - 4. 3 sq. units 6 sq. units 9…

A: Given that  :   y2 =4x and y=2x-4 . And we find area bounded by this parabola and line.     Here i…

Q: dr 2√x+3+x d. ·S e. dx x√4x + 1 SIV f. dr x√4x²+1

A: These questions can be solved using integration by substitution.

Q: Option 3 + 7 2x2 7 ALL OF THE ABOVE

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Q: Find the area of the region bounded by y = 3x - x² and the x- axis. 9/4 9/7 9/2 9/5

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Q: luate 2 Af ² (x-1) 25 dx 7 S² √4+3x dx 1 x² (1+22³)5 dx esinx cosxdx O 플 the definite O inte

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Q: Suppose that f(x, y) = 6, and D = {(x, y) | x² + y² ≤ 4}. I Then the double integral of f(x, y) over…

A: Explanation of the answer is as follows

Q: Answer it correctly, neatly, and comprehensively.  Written answer only.  Determine the coefficients…

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Q: A ball is thrown downward with a speed of 14 ft/a from the top of a 196-foot-tall building. After t…

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Q: SxVx² √x² - 4 dx

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Q: The position of a hummingbird flying along a straight line int seconds is given by s(t)- 6t³ - 13t…

A: Note: As per our guidelines we can solve only one question with maximum 3 subparts.  Here is your…

Q: 2. Evaluate Solve all parts or I'll dislike. If you can't solve all parts just skip it dx dx d. S S…

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Q: 9) Two apartment tenants have a total of 600 feet of fencing to enclose a rectangular garden and…

A: Please refer to the image below

Q: Find all local maxima, local minima, and saddle points (if any) of the following function. If these…

A: A detailed solution is given below.