Let F= (2xy +z?,x?, 2xz) and let C be the circle r(t) = (2 cos t,6 cos t,3 sin t), for 0sts 2a. Evaluate OF • dr using any method. %3D • dr = 60 + 18x (Simplify your answer.)

Q: Ilu ne mervais OT wiiich the function is increasing or decreasing. f(x) = 2x° +3x- 12x+ 17 .... List…

A: Given query is to find the interval where function increasing and decreasing.

Q: ny ways can 12 students be seated around a circular

A:

Q: Let f(x, y) = (x² – y²) / (x² + y²). Why does - lim (x,y)→(0,0) f(x, y) not exist? You are dividing…

A:

Q: Evaluate the given integrals. Please Show the complete solution. Identify the u , du and other…

A: We have to find the integral

Q: Given that x and y are functions of time, find the indicated rate of change. dx dy Find when x = 4,…

A:

Q: The total world population is forecast to be P(t) = 0.00068t3 - 0.072t2 + 0.99t + 6.04 (0 s t s 10)…

A:

Q: x = 7- 2t Which of the following lines is parallel to L: L : y = + t z = 4 + t x = 2+4t L{y= - 1+ 2t…

A: Here we will find the parallel line,

Q: In x dx .2

A: We need to solve the integral.

Q: The logistic equation dP P(a – bP), a > 0, b> 0, is a first- dt order linear differential equation.…

A: To find whether given logistic equation is first order linear differential equation or not .

Q: The function f(x) = 2x – 33x + 60x – 8 has two critical numbers. The smaller one is x = and the…

A: To find the critical point use the differentiation .

Q: The sides of a square increase in length at a rate of 4 m/sec. a. At what rate is the area of the…

A:

Q: 2 3 Sźcsc(ln[5x²])cot(In[5x²])/csc(In[5x²]) + 5dx

A: To evaluate the following integral. ∫27x cscln5x2 cotln5x2 cscln5x2+53 dx

Q: Using Table 15.2, if the air temperature is 41°F, and the relative humidity is 20%, the weight of…

A:

Q: The total cost function for a product is C(x) = 750 ln(x + 10) + 1800 where x is the number of…

A:

Q: d d Calculate r (t) · r2(t)] and r (t) x r3(t)] first by differentiating [ri(t) x r2(t)] first by…

A:

Q: Find the absolute maximum and minimum of the function f(x,y) = 8y - 72x- 4 over the closed region…

A:

Q: Match the vector field with its graph. F(x, y) %3D хі + Зуј -67

A:

Q: The formula A = 24.2 e 0.0786t models the population of a US state, A, in millions, t years after…

A: As per our guidelines we are supposed to solve only one question i.e. the first one. For the…

Q: dy Find by implicit differentiation. dx - 20x = 20 - eY dy %3D dx (Type an exact answer.).

A:

Q: The graph of a function h is shown below. Find h(-2) and find one value of x for which h(x) = -1.…

A: h(-2) =3 h(0) =-1

Q: 4 Find lim cos C→十0 Enter I for o, -I for –∞, and DNE if the limit does not exist. Answer:

A: Topic = Limits

Q: I. Represent the following equations in R? by a vector-valued/parametric equations: 1. y = mx + b 2.…

A:

Q: Find the arc length of the parametric curve. x = e', y = et, z = v2t; 0<t< 10 L

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

Q: Given two vectors A = 2i + 3j- 2k B = 3i- 4j- 6k Determine the vector that defines the direction of…

A:

Q: dx V5+4x-x² 5.

A: Explanation of the answer is as follows

Q: At time t in seconds, a particle's distance s(t), in micrometers (um), from a point is given by s(t)…

A:

Q: Which of the following is a proper substitution to solve the Bernoulli's equation 27'y- 22 y3 = 3y?…

A:

Q: 2. [0/1 Points] DETAILS PREVIOUS ANSWERS OSCALC1 15.1.014. MY NOTES ASK YOUR TEACHER PRACTICE…

A:

Q: Find the limit. NOTE: Enter the answer using round brackets. t2 + 3 1 lim t→+∞ \ 4t2 + 5'4t (?, ?)

A:

Q: For each problem, find the volume of the solid that results when the region enclosed by the curves…

A:

Q: Use calculus to find the absolute maximum value and the absolute minimum value, if any, of the…

A:

Q: Each side of a square is increasing at a rate of 3 cm / s . At what rate (in cm^ 2 /s) is the area…

A:

Q: Q1) The base of an open-top rectangular box costs 3$ per square meter to construct, while the sides…

A:

Q: For each problem, find the volume of the solid that results when the region enclosed by the curves…

A: Solution is given below:

Q: 6x if x 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: What is the integral of x" cos ax dx ? хN sin ax А. -=S nx"-1 sin ax dx + а а хN sin ax B. n -"Sxn-1…

A:

Q: INTEGRATION OF TRIGONOMETRIC FUNCTIONS AND ITS TRANSFORMATIONS Evaluate the given integrals. Please…

A:

Q: Select all of the statements that accurately complete the sentence about the continuity of the…

A:

Q: The function f(x) = 2x – 30x + 126x + 2 has one local minimum and one local maximum. This function…

A: The given function is  fx=2x3−30x2+126x+2

Q: lim (n + 1 – Vn² n) n 00

A: Given query is to find indicated limit.

Q: Curve sketching show all work f(x) = sin(x)cos(x) on [-pi, pi]

A: Solution is given below:

Q: A rancher wants to fence in an area of 2,000,000 square feet in a rectangular field and then divide…

A: see below the answer and calculation

Q: Find the region R below for which (2 – x² – y²)dA has the largest value. R Hint: you can do this…

A: To find the region R for which the integral has the largest value , find the region R for the…

Q: 0.09) 121 At the end of t years, the future value of an investment of $39,500 in an account that…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: The entire graph of the function f is given below. Use the given graph of f to find the following.…

A:

Q: Use the Direct Comparison Test to determine the convergence or divergence of the s 5n Σ 4n - 1 n = 1…

A: Given query is to find series converges or diverges.

Q: (20,400) on the function y = x². Find the ratio Ay/Ax for Suppose that we choose the point P = each…

A:

Q: xp ( 14

A:

Q: COS X Evaluate the integral: Xp- 4 + sin?x

A: To evaluate the given integral.∫cos x4+sin2 x dx

Q: dx V4-9x2 2.

A: topic - indefinite integral