Find the area of the shaded region. 5:3 1 23 ex - 3>2 (2,1) (4,1)

Q: 2 2 1) (i) Show that F= 3 xy³i + 3x²yj is a conservative vector field. (ii) Find a potential…

A:

Q: Find the derivative of the function. esin z In(1+2v)dv CoS z

A:

Q: I. Find the inverse of A = 2 1 2 3 -1 -2 -3 1 0

A: The Solution is given below:

Q: Determine whether the following limit is equal to ∞, -∞ or some specific value. lim (x² + 8x³ + x5)…

A: The given limit is  limx→∞ x2+8x3+x5

Q: Evaluate. (Be sure to check by differentiating!) S128-120 dt √1280-120 dt = (Type an exact answer.…

A: Integrate by using substitution

Q: A railroad's track can be determined using the following graph. Part A: A highway's path can be…

A:

Q: Find fxx fxy, fyx and fry for the following function. (Remember, fx means to differentiate with…

A: A detailed solution id given below.

Q: 7. Sketch the region of integration and write the integral with the order of dydx. In 2 2 To Se dx…

A:

Q: 25. Aviation When kerosene is purified to make jet fuel, pollutants are removed by passing the…

A: We have to find the exponential function that model the percent of impurity

Q: (47) Let C be the curve y = 5x where 1 ≤x≤9. Calculate the length of C.

A:

Q: (34) Find the area of the region bounded by the parabolas y = x² - 4 and y = 2x²+x-6.

A:

Q: 8) 2sin²x = sin x

A: 2sin2x=sinx2sin2x-sinx=0

Q: S14 = a₁ = 72, d = 14, n = 14 Need Help? Road 16 Watch It

A: Given query is to find indicated sum.

Q: Given f(x) = x², f''(1): = Give an exact answer.

A: Please see the below picture for detailed solution.

Q: An ecologist wishes to find the height of a redwood tree that is on the other side TOTES, as shown…

A: Given,           An ecologist wishes to find the height of a redwood tree that is on the other side…

Q: Provide an appropriate response Find y" for y = x4 - 8x 8x1/2

A:

Q: The price-demand function and the cost function for the production of HDTVs are as follows:…

A:

Q: Evaluate the definite integral using Part 1 of the Fundamental Theorem of Calculus. ER 7 So 4 sin…

A:

Q: A partial sum of an arithmetic sequence is given. Find the sum. 5 + 11 + 17 + . . . + 575 X S = 96

A:

Q: Evaluate the line integral, where C is the given space curve. √(x² + y² + z³) ds, + y² + z²) ds, C:…

A:

Q: (b) i=x-Y y=x+3y x(0) = 1, y(0) = 2

A: Please see the below picture for detailed solution.

Q: What geometric shape's area does the following line integral represent? Compute the area using the…

A:

Q: The rate of change in a person's body temperature, with respect to the dosage of x milligrams of a…

A: Let's solve integration.

Q: iven the sequence an (n+1), what is a100?

A: Given query is to find indicated term.

Q: The path of a satellite orbiting the earth causes the satellite to pass directly over two tracking…

A:

Q: Suppose you deposit $1000 at 5% interest compounded continuously. Find the average value of your…

A:

Q: i) lim (sin x)*. x→0

A:

Q: Model the data using an exponential function f(x) = Abx. x 0 1 2 f(x) 16 4 1 f(x)=

A:

Q: aluate the following limit (allowing it to possibly evaluate to ±∞o). 1-4x7 lim x++∞ x7 + 12x

A:

Q: In a town whose population is 3400, a disease creates an epidemic. The number of people N infected t…

A:

Q: Solve the problem. 18) A power outage affected all homes and businesses within a 13 mi radius of the…

A:

Q: cos 0 12 0

A: In third quadrant cos is negative and cot is positive

Q: Use a Table of Integrals to evaluate the 3x integral. sin 5xdx

A: Topic:- application of integration

Q: (1) The amount of money in an investment. is modeled by the Eunction A(4)-700 (100198) the variable…

A:

Q: Consider the system of equations shown below. For this exercise you must solve the system using…

A: The given system, -2x-4y-4z=25x-5y-z=2-5x+5z=3 We have to find the solution of this system using…

Q: Calculate the iterated integral. 7)(0)(0/1)(x/√1-y²) ysin(x) dzdydx

A:

Q: y = 2 is a tangent line to the curvey = f(x) at x = 1. Find the slope of the curve y = f(x) at x =…

A: Given that , Tangent line to the curve y=fx is y=2 at x=1. Find the slope of curve at x=1.

Q: derivative 2 of the Fundamental Theorem of Calculus. √²₁ (61²-1) 22 dt 6+2 dt (61²-1) 22 dit

A: Given query is to find the derivative.

Q: To solve the nonlinear inequality x + 4 / x-8  ≤ 0     we first observe that the numbers______…

A:

Q: Evaluate. Be sure to check by differentiating. Se5x+3 dx

A: ∫eaxdx=eaxa+cdeaxdx=aeax

Q: Find the derivative of the function. esin r In(1+2v)dv CoS z

A:

Q: Suppose that the profit (in dollars) for a company when & units of product are produced is given by…

A:

Q: 4) Compute the area of the region below the sine curve and above 5π/4 using iterated integrals. the…

A:

Q: [²r(x) dx where 0-{²_, f(x) if -2 ≤ x= 4-x² if 0<x=

A: Topic:- application of integration

Q: Find dx dy dt' dt 11 ㅎㅎ ㅎㅎ 히즘 || 11 dy dy dx x = 3t – 3ln(t), and y = 8t2 - 8t-2

A:

Q: Hi, I think you misread the question, sorry

A:

Q: Let f(x) = 3x² - 6 and let g(x) = 5x + 1. Find the given value. f[g(-1)] f[g(-1)] = (Type an integer…

A:

Q: Calculate the iterated integral. 5) (0/1)(0x) cos(x²)dydx

A:

Q: Find the slope of the tangent line to the curve x² + xy + 2y² = 28 at the point (-2,-3).

A: slope is  dydxdxndx=nxn-1d(a.b)dx=adbdx+bdadxdconstantdx=0

Q: Evaluate. (Be sure to check by differentiating!) √² (³-3) dr

A: Evaluate: ∫r2r3-34dr