Find V. (V x F), if F(x, y, z) = 7e**i+ 8xej – 3elk.

Q: dP/dt= P(P − 10),

A: answer is in next step

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: S- (1+x?) ? x*dx U sing trigonometric substitution, / 3 tan Od0 (A sect sec 9d0 (B tan20 C) None…

A: topic- indefinite integral using trigonometric substitution 1+tan2θ=sec2θ

Q: ||r(t) x r"(t)|| ||r'(t)||* Use the formula K(t) to find K(t). r(t) = 4 cos(7t)i+ 4 sin(7t)j + 3tk…

A:

Q: Let f a) Simplity the expression tlath), f() XRt 50C43. Using f loc)

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: Q(t) = Q0: 2-(t/140) If the amount of polonium left after 560 days is 80 mg, what was the initial…

A:

Q: One of the correct steps to evaluate x2inx x²Inx dx to yield the correct integral A x?Inx B 1 x3 dx…

A:

Q: 1. Sx³Va? – x²dx

A: We have to integrate

Q: Evaluate the integral using the following values. x dx = 60 x dx = 6, dx = 2 J2 %3D 5x dx J2

A:

Q: Find a formula for the n" partial sum of the series 2 + + + + ... and use it to find the series' sum…

A: The solution is given below

Q: The following differential equation is exact. Find the general solution. (7x + 6y) dx + (6x − 8y3)…

A:

Q: 5y'' + y = 0 y(x) =

A: Consider the differential equation  5y''+y=0

Q: Find the value of n in the following definite integral. So 4x° dx 1 Answer:

A:

Q: Ise the function f and the given real number a to find (f-)'(a). (Hint: See Example 5. If an answer…

A: We have to find out the derivative

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 E 6. o+z (p*-1)- -

A:

Q: 3. Graph the function f(x) = 1 and estimate the area for -2 <x < 2 1+ x2

A:

Q: Complete parts a through c for the given function. f(x) = 4x° - 5x - 40x° + 5 on [- 3,4] c. Identify…

A:

Q: Let f(x) = y = 4x² In(). Differentiate y = 4x2 In() with respect to x and simplify. + 4x2 )(()이) -A…

A:

Q: Determine the integral of the ff. functions. 1. S - 10 sin 5x dx 2. S 4 x cos x² dx 3. S sec 2 (3x +…

A:

Q: Use substitution to find the Taylor series at x=0 of the function e -9x. Choose the correct Taylor…

A: Explanation of the answer is as follows

Q: 7

A: We have to find out

Q: Solve the De as follows via Laplace transformations: y"- (14/3)y" - (55/3)y' + 14y = 0; y(0) = -1,…

A:

Q: dx 2. x²/4-x² V4-x2

A:

Q: A 5-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away…

A: To find the rate of change of area of the triangle formed .

Q: 2-V8

A:

Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. | (4x2 + 9) dx…

A: To find the value of definite integral using  fundamental theorem of calculus.

Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise. p…

A:

Q: Evaluate the line integral |-ydx + xdy along the curve C: y = 30x from (30, 30) to (0,0). %3D NOTE:…

A:

Q: Question 6 of 17 Find an equation of the parabola with vertex (1, 4) and directrix x=-3.

A: Given that vertex of parabola (1,4) and directrix x=-3  To find the question of parabola  Again…

Q: If f(2) = 10, f' is continuous, and f'(x) dx = 20, what is the value of f(3)? f(3) =

A:

Q: Find the derivative of y sinh-(13x). (Use symbolic notation and fractions where needed.)

A:

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. 1. dx 2. x²/4-x?

A:

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

A:

Q: Find the partial derivative. = (a² + 4x – 2y)° - dz II

A:

Q: if X-? yk 2 2 3D5 リ+1 yX Find

A:

Q: Evaluate the integral | (6x + 3y)dx + (9x – y)dy along the parabolic arc y = x? from (0,0) to (1,…

A:

Q: Find the inverse Laplace transform: 1 (s(s² + 1).

A:

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

A:

Q: Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder x² + y = 9 and…

A:

Q: Find V · (F × G), if F(x, y, z) = 3ri+j+6yk and G(x, y, z) = xi+ yj – zk. V· (F × G) ||

A:

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

A: topic- differential equations

Q: Select one: O True O False

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) tan2 dx secº x

A: Solve the following

Q: 00 (n+7)! Does the series converge or diverge? 7!n!7" n= 1 Choose the correct answer below. O A. The…

A:

Q: Find the volume of the solid that is bounded by the surfaces z = 152 - x2 - y?, z = 0, x = 0, y = 0…

A:

Q: Use only the fact that 3x(2 - x)dx = 4 and the properties of integrals to evaluate the integrals in…

A:

Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. (Enter…

A: We have to solve above algebraically solution

Q: The most conveneient way to evaluate x² – 4 by substitution is to let x2 – 4 =y A True B False

A: On solving this we will get

Q: A ladder of length 4/3 metres is resting on a wall. The wall makes a 60-degree angle with the…

A: