Find the area enclosed by the x-axis and the curve y=4 – x2. A 32 square units B 18 square units 32 -square units 3 D 36 square units

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Q: 3. S 10x(x² – 1)ª dx 4

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

Q: Find the Differential Equation of number 3 question [2x+ycos(xy)]dx + xcos(xy)dy = 0

A: Follow the procedure given below.

Q: In problems 1-8 find the least order DE which has the general function as its general solution: 1. y...

A: I am attaching image so that you understand each and every step.

Q: 4. Compute 23 2 3 4 3 2 0

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Q: 5. In problems 1-5, by elimination the constant 'a' and 'b' obtain the DEs for which the following f...

A: Given:- y =A sin(A+B)  To find:- Eliminate arbitrary constant A and B obtain Differential equation

Q: Find a vector parametrization for the intersection of the plane x + y+z = 3 and the cylinder x² + z2...

A: solution given below..

Q: A function F is an antiderivative of the function f on an interval I if for all x ɛ I A F(x)=f (x) B...

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Q: Master It Find the area enclosed by the curve x = 2 - 3t, y = Vt and the y-axis. %3D

A: Given problem:- Find the area enclosed by the curve x = =t² - 3t, y = √t and the y-axis.

Q: 29- 3D (2) H

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Q: Calculate y' and y" for y = x°e². (Simplify answer.)

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Q: (1-xy)^-2dx+[y^2+x^2(1-xy)^2]dy=0

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Q: Construct tangent segments drawn from an external point to a circle are congruent. Given: Tangents a...

A: Given problem:- Construct tangent segments drawn from an external point to a circle are congruent.  ...

Q: (b) y = cos'(11x* + 2x).

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Q: Find the value of 'n' that satisfies the equation: „C, =, C, the correct value of n)

A: We will find the value of n as shown below

Q: b. [3f(x) - 4g(x)]dx

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Find the value of k so that the value of (2x - 1) dx is 4. A 2 B) 5 c) 4 D) 3

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Q: Determine whether the lines L1:(x−22)/7=(y−17)/7=(z−19)/7 and L2:(x+15)/8=(y+22)/9=(z+22)/10 inter...

A: NOTE: Refresh your page if you can't see any equations. . the first line is  write the given line i...

Q: The cost of certain piece of machinery is $700 and its value is depreciating with time according to ...

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Q: Set up integrals required to find the area of one of the two regions (your choice) bounded by the cu...

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Q: Evaluate the limit. lim 十十ダ

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Q: 2 -16x dy (a) find (b) find the slope of the tangent at x=4 (c) equation of the tangent at x=4. 2.3 ...

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Q: Evaluate the following using a trigonometric substitution. Draw and label a reference right triangle...

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Q: O 2. Choose the best answer. Find the area of the triangle to the nearest tenth square a = 17 inches...

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Q: ERROR. Problem: Determine the particular solution of y"-3y'+2y=4e"; y(0)=-3, y'(0)=5 using Laplace a...

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Q: of Find (8, - 9) if f(x.y) = 8x? + 4xy - 7y + 5x - 8y - 5. дх of (8, – 9) = (Simplify your answer.) ...

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

Q: x+3 4. S dx (x²+6x)²

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Q: 3cos3x (3cos³x - 1 1- sin?x To evaluate dx, the integrand can be transformed to

A: Given: - The integral is, ∫3cos3x-11-sin2xdx To find: - The given integrate can be transformed to. O...

Q: Let M be the region in the first quadrant bounded by the graph of y = 2x + 3, the graph of y = x + 3...

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Q: 7. Find dy dx (a) y = (x* + 5x) cos 5x, %3D

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Q: dy If y (t+ 2t + 6) (7t + 6), r find dt dy dt

A: Given  y=t2+2t+67t2+6y=7t4+6t2+14t3+12t+42t2+36y=7t4+14t3+48t2+12t+36

Q: (x+ Vy? + 1)dx – (y-) dy = 0 2 %3D Vy? +1

A: Follow the procedure given below.

Q: of Find (7,- 2) if f(x,y) = 4x² + 7xy - 3y? + 6x - 5y - 2. of (7,- 2) = (Simplify your answer.)

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Q: x!/2 on the interval [1, 4]. Find the arc length of the curve y 2x3/2

A: This question is based on application of integration. With the help of formula of arc length we got ...

Q: Find an equation of a plane containing the line r=⟨0,−5,−1⟩+t⟨−2,4,−2⟩ which is parallel to the plan...

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Q: 5. In problems 1-5, by elimination the constant 'a' and 'b' obtain the DEs for which the following f...

A: Note:- this is multiple sub parts question and according to our comapny law we can do maximum 3 ques...

Q: 6. By converting to spherical coordinates, evaluate 22 dz dx dy. 0.

A: triple integral

Q: Let ​f(x)=6x−2​, ​g(x)=x2+2​, and ​h(x)=x+26. Evaluate the expression ​(f◦g◦​h)(4​).

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Q: Evaluate the iterated integral. dx dy dy = (Type an integer or a simplified fraction.)

A: To evaluate:∫17∫0414x3ydxdy

Q: 6x 24x - 6x is g'(x) = * is R'(w) = 4. The derivative of g(x) (2-x)2 4w5+4w3-6w²+3 2-x 5. The deriva...

A: 4) Given:       gx=6x22-x      g'x=6·ddxx22-x                =6·ddxx2·2-x-x2·ddx2-x2-x2             ...

Q: 04 - +C 3ln® do : OP 2 2e A True B False

A: The given integral,∫2e3lnθ dθ=θ42+C

Q: Find f'(x) for the function. (x) = 7x(17x* x + 1 f'(x) =

A: Given function is fx=7x17x4+15x+1find f'x

Q: The current population of a certain bacteria is 4747 organisms. It is believed that bacteria's popul...

A: We know that,  P(t)=Aekt where,  P(t) - population at time 't' A   - Initial value k   - rate of gro...

Q: 3. Determine the the points where the following function assume relative extreme values. Classify wh...

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Q: 2 91 If A = 1+y 4 0 and B = 5 3 31 [0 2 91 40 find the values of x, y. l2 3 3] x2 2

A: We have to find X , Y values  

Q: 18. It states that for each value between the least upper bound and greatest lower bound of the imag...

A: Sine we are given with multiple number of question answered according to the guideline.

Q: Choose each improper integral from the options below. (No work is required to be su OA. J. ーx dX xe ...

A: NOTE: Refresh your page if you can't see any equations. . here upper and lower limits are finite an...

Q: Use sympy to solve the following problems: (a) Solve u' (t) + u(t) = e' subject to u(1) = 3. (b) Fin...

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Q: raphs of x=f(y)=y(11−2y) and x=0 enclose a region in the first quadrant. Rotating that region about ...

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Q: Consider the Cobb-Douglas production function f(x, y) = 40x/y/3. Compute f(125, 64), f(64, 8), and f...

A: We to put given value in the function