17. y dx — (х + бу?) dy %3D 0

Q: Sx+11x+2 dr x(x+1) Zln|x| + 3 In|x+ 1| +C 2łn]x| + 3 In|x +1|- Option 1 Option 2 2ln|x] + 3 Inx+ 1|…

A: We can solve this as follows:

Q: Find the derivative, dy/dx: y = log3 (2x +1) Oy =- (2z+1)3 In 3 Oy = (2r+1) In 3- Oy= log, e (2z+1)3…

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Q: Find the second derivative of the function x2y – 2 = 5x + y

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Q: Find curl (7z i + 8x j + 9y k). curl (7z i+ 8x j + 9y k) = ( i )i + ( i )j + ( i )k

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Q: Find the first derivative of the function below: f(x) = (cos(2a – 7))sin(z+1) %3D

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Q: Find div F and curl F if F(x, y, z) = 11y"2°i – 17x"z1ºj – 6xy°k. - div F= curl F=

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Q: 7. 1 (x dy – y dx) = 0 %3D x² + y²

A: Here, the given DE is: 1x2+y2(x dy -y dx)=0...(1)

Q: 2 x – 4 dx .2 1

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Q: A company has identified that the revenue R for a particular product is given by the equation R(x) =…

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Q: Find y': y = arctan(e2x) 2e2x y 1– e4x? 2e2x y = 1 – e4x %3D 2e2x y 1 + e4x %3D 2e2x y 1 + e4x2

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Q: For the cruciform in the figure below, the equation is x²y2 - 9x2 – 4y2 = 0, find the equation of…

A: To find the equation of the tangent line for the given curve.

Q: (45)ds。(特)"- sa (49) 48 (xs) 1-1

A: The given integral is (x2+5x) /(x+9)1/4.

Q: A function is defined as f(x) = x3 - x - 11 = 0. Between the interval [2,3] find the root of the…

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Q: integrate dx/(x²+x)(x-1)²

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Q: 2x (x – 3)² A = 6, B = 2 A = 2, B = 6 A = 2, B = - 6

A: The given integral is 2x/(x-3) 2.

Q: Solve for the derivative of y = x(e*) %3D

A: Find your answer below

Q: Find V · (V × F) if F(x, y, z) = 3 sin xi + 6 cos(6x – 7y)j + 3zk.

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Q: Evaluate (2x - y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (5, -5)

A: The objective of the question is evaluate the definite integral.

Q: Question 5 Determine the derivative of the given function: y = (e + e)3 O y = 3(e- + e")² (e- + e")…

A: The derivative is given below.

Q: Let s(t) (2)a v(t) = Where does the velocity equal zero? [Hint: factor out the GCF] 4+12t2 36t be…

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Q: n² < 2" for n = 4,5, 6, ... (Hint: 2n + 1 < 2" for n = 3,4, 5, ...)

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Q: 7000 A continuous annuity is a steady stream of money that is paid out, for example, by making an…

A: Find your answer below

Q: An archaeologist found a burial jar when excavating in an ancient village. To determine the age of…

A: Rate of decay of C14 is proportional to its amountdctdt=kct…

Q: For the function, f(x) = 2x – 1, find the inverse function of the given function. а. |

A: Given : f(x)=2x3-1   To Find : Inverse of f(x)

Q: -2 2. S- dx x(x-1)

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Q: Find the time it takes for $7,800 to double when invested at an annual interest rate of 6.9%,…

A: Solve the given for the double the principal amount in which timne

Q: Find the derivative, dy/dx: In-2x O y = -() In' 1-4 la > 是 In' x 2/1+2In ४ In' z In z 2w In² z ) In'…

A: This question is based on diffrentiation.

Q: 3. Differentiate. SET A. y = 3 cos(5x2 + 2)

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Q: Consider f(x) = (5x + 11)2022, find: i. f'(x) ii. f"(x) iii. f''(x)

A: Given Data: f(x)=5x+112022 Formula used: dax+bndx=nax+bn-1dax+bdx dxndx=nxn-1

Q: Use power series operations to find the Taylor series at x = 0 for the following function. x -2+2…

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Q: What is the approximate change in the area of a triangle of base 10 inches and altitude 17 inches if…

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Q: Find all values of the angle 0 (in radians, with 0 s 0 < 2n) for which the matrix cos e -sin 0 A =…

A: The solution is given below

Q: x² – 2 (x + 2)(x + 1)²

A: Partial fraction

Q: Find the following for the given equation. r(t) = (e-t, 4t2, 9 tan(t)) (a) r'(t) (b) r"(t) = %3D (c)…

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Q: Attempt 3 A net is dipped in a river. Determine the flow rate of water across the net if the…

A: Given

Q: Find curl (7z i + 8x j+4y k).

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Q: Find V (V x F), if F(r, y, z) = 7e""i + 2xe"j- 3e""k.

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Q: Find curl (4z i+ 5x j+ 9y k). curl (4z i + 5x j + 9y k) = ( Di + ( j + ( i i )k

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Q: Find the first three non-zero terms of the Maclaurin expansion of the function. f(x) = 3 cos 2xx…

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Q: 5. By Chain Rule , evaluate b. y' for y = u² + 2u and u = x² + 2 %3D

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Q: xe' – ye* = In(xy). Find dy/dx

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Q: S*r(sin³x cos x + sin x cos x) dx -- 4 Ja sin 50 de

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Q: ||r(t) × r"(t)|| ||r(t)|| Use the formula k(t) to find k(t). 13 13: r(t) = t’i+ t³j K(t) =

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. P…

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Q: Two numbers have a sum of 72. What is their product if it is a maximum? (A) 1296 B) 1297 c) 1298…

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Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x3 +x)dx

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Q: ind [r(t) · u(t)] and Ir(t) x u(t)] in two different ways. dt r(t) = ti + 5t2j + t³k, u(t) = tk (a)…

A: Solving

Q: Evaluate the following indefinite integral: x dx 1.) S - Vxt – 1

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Q: The solid shown in fig 1 has two parallel bases. Plane BFHC forms a dihedral angle 50 degrees with…

A: Aim: To find the area at the midsection of the given figure…

Q: 2. By differentiation rules , evaluate the derivatives of the following and simplify as possible:…

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