(y – cos?x)dx + cosxdy = 0 %3D

Q: Find div F and curl F if F(x, y, z) = xz°i+ 5y*x²j +4z²yk. div F= curl F=

A: To find curl F and div F.

Q: The rate of decay of radium is proportional to the amount present at any time. The half-life of…

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Q: The points P(-2,1), Q(-6, 4), and R(4,3) are three vertices of the parallelogram PQRS. Find the…

A: Given: Vertices of Parallelogram P(-2,1), Q(-6,4), R(4,3)

Q: LI (x + 4)(x +3)dr = 74/3 Select one: O True O False

A: topic- definite integral

Q: The equation of the tangent line and the normal line to y = x² – 4x +

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. dx 2. 4-x-

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Q: Given the vector function ř(t) = (– 3t, 5t°, 2t° + 3) Find the velocity and acceleration vectors at…

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Q: A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/sec. How long…

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Q: Which of the following is an antiderivative of f(x) = 12x³ - 9x2 + 8x – 3?

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Q: Find the derivative of y=x^(7sinx). (x>0).

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Q: Sketch the image S in the uv-plane of the region R in the xy-plane using the given transformations.…

A: Given :

Q: Find the area of the region bounded by y = (1/8)(-x² + 6x +7) and y = -6. Answer:

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Q: y" + 9y = 9 sec² 3t, 0<t < T/6

A: To solve the following differential equation

Q: . .............. Solve the exponential equation algebraically. Approximate the result to three…

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Q: (t) satisfies the following differential equation. P is measured in millions and t is in years

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Q: 5. Evaluate the integral by interpreting it as an area 2 L(1 - 2) de |

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Q: For the given cost function C(I) = 128/ + find 512000 d) The production level that will minimize the…

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Q: 1) Use a double integral to find the area of the region enclosed by y= x² and y = 2x.

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Q: A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/sec. How long…

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Q: Determine whether the series converges or diverges. Make sure to clearly state the test that you're…

A: Given,  ∑n=0∞2xnn!

Q: Which of the following is an antiderivative of f (x) = 52 ? O (In5)52 – 1 52 +3 In5 52 2ln5 1.…

A: To find the antiderivative of fx=52x.

Q: Find div F and curl F if F(x, y, z) = x'i – 3j + yzk. div F= curl F=

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Q: Evaluate: /x*V1-x*dx A None 3 글(1-x4) 2 +C В 3 -(1-*) C 3 (D (1-x+) +c - C 3 은(1-x) 2+C

A: We have to solve above question and find integral

Q: A population of 200 kangaroo is released into the forest. During the first three years, the…

A: We need to predict population.

Q: Determine whether the following series converges or diverges: 8 /n(n+ 1)(n + 9) Input C for…

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Q: S(e3x-e 2x -e*)*dx

A: ∫e3x-e-2x-e-x4dx=∫…

Q: (D5 -D* – 2D³ +18D² –31D+15)y =0

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Q: ydy can best be evaluated by algebraic substitution. A) True B) False

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Q: 22-1+9 22+5x2-3z

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Q: A general solution of the differential equation - 3+4 = 0 is 1. A. y = c,e* +cze2x + c3xe²x B. y =…

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Q: The particular solution that satisfies the differential equation and the initial condition dy/dx =…

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Q: The absolute value of the complex number [2 + sqrt (2) + pi] +j [e- sqrt (3) + 5] O 8.88 O 11.5 O…

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Q: x = -3x1 – 2x2 x2 = 9x1 + 3x2 %3D

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Q: 21. Solve the equation y' = (x²+ 7) / 9 (2x / 9) + c b. y = (x / 18) + c 22. Solve the equation y' =…

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Q: [y sxy dy is equal to -y cony - J cony A (B у сoly - coty dy Scory dy C у coly + -y coty + J coty D…

A: Solution is given below..

Q: 1. Find the equation of the normal line at a given point. 5 y = - @ (5,1) ||

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Q: nd the indefinite integral using integration by parts with the given choices of u and dv. (Use C for…

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Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

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Q: The rate of decay of radium is proportional to the amount present at any time. The half-life of…

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Q: x³dx is equivalent to x² – 4 Using trigonometric substitution , A sec+0 do B) None © 8 C sin³e de D…

A: The given integral,        ∫x3dxx2-4

Q: Evaluate: /x*V1-x*dx A None 3 글(1-x4) 2 +C В 3 -(1-*) C 3 (D (1-x+) +c 3 1(1-x*) ? +E E

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Q: ||r'(t) x r" (t)|| Use the formula k(t) to find k(t). r(t) = eti+e*j 42 est K(t) %3D (36 el2t +…

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Q: Suppose that f(x) is a differentiable function satisfying the data in the table below on the…

A: Left -hand approximationa=4 , b=12  ,n=4∆x=b-an∆x=12-44=84=2Subintervals are 4,6,6,8 , 8,10 ,…

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. 1. dx

A: see below the answer and calculation with steps

Q: 5xdx 3. Find the integral (x-1)3 -5 a. 2(x-1)2 +C b. ++C -5 2(x-1)2 X-1 c. In () – in () + c )-In()…

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Q: (4)Show correct Answer for this 1 question and Highlight it, tysm!!

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Q: Parker was born on February 29, 2,008. The fifth time he is able to celebrate his actual birthday is…

A: We know that a single year have 365 days And a leap year have 366 days in a leap year. Now between…

Q: Find curl (3z i + 4x j+ 2y k). curl (3z i + 4x j+ 2y k) = ( Di + ( j +( )k

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Q: y = zsin z

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Q: Now, differentiate the function y' = 4x(1 + 2 In). y" = 4 + 8 + In + 8 In

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