- Evaluate the double integral (3x − 3) dA, where R is the region in the first quadrant enclosed by the circle z² + y² = 4 and the lines z = 0 and y = x, by changing to polar coordinates. Answer:

Q: 4. ( sin(x)+1 x 05x+e+(x−1)² a. lim b. lim x-0 c. lim x-1 tan(-x) 2x sec(x + 4) = √2x+2-2 1-√√√x >…

A:

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: NOTE: Refresh your page if you can't see any equations. . the revenue and cost functions are

Q: π Find the equation of the tangent line to the curve y = 2 sin x at the point The equation of this…

A: We can find the slope at the indicated point in the below steps.

Q: In Exercises 17 – 18, sketch the ellipse defined by the given equation. Label the center, foci and…

A:

Q: - Given cost and price (demand) functions C(q) = 120q+44,000 and p(q) = 2q +870, What price should…

A:

Q: Use implicit differentiation to find dy/dx and d²y/dx². xy + 3 = y, at the point (4, -1) Select one:…

A: According to guidelines I can solve only 1st question

Q: logarithmic differentiation to find the derivative of f (x) = (cos x)x

A: Given is to find the derivative.

Q: or problems 1-3, prove the given identity. 1. tan(-x) cos x + cscx sinx = 1 - sin x

A: Prove the Identity

Q: 2. secx COS Lanx cotx =1

A:

Q: Find parametric equations for the tangent line to the curve of intersection of the paraboloid z = x2…

A: Given Data : Two curves are given as, z=x2+y2 6 x2+4 y2+5 z2=30.   Required : We have to find…

Q: Consider the following parametric equations. x(1) = √i y(t) = 1²-21 (C2a) Find the equation of the…

A:

Q: A bank features a savings account that has an annual percentage rate of r 4.5% with interest =…

A: A bank features a saving account that has an annual percentage rate of r=4.5 % with interest…

Q: An island is 6 mi from the nearest point on a straight shoreline; that point is 12 mi from a power…

A: Concept: The slope of a function can be found in its first derivative. The slope of the curve grows…

Q: Let f(x) = f'(x) = - - 9 cos x + 4 tan x ƒ'( - 7) = =

A:

Q: Find ST (x + y) dydx. 5 4

A: To evaluate the iterated integral.

Q: Question A rectangular storage container is to have a volume of 700 ft³. The bottom will cost $5 per…

A:

Q: Find the derivative using suitable differentiation rules: + 3x + ¹) J- = 5x + sin(x² + 3x + 1)…

A:

Q: Find af af Әх' ду af ду f(x, y) = 7(x2 + y2) log(x2 + y2), (x, y) ≠ (0, 0) af Әх for the following.…

A:

Q: late the integral, if it converges. If it diverges, enter diverges e5x 1+e5x dx

A:

Q: Evaluate 1 Lo Toz xe dy da X=0

A:

Q: Evaluate the definite integral by the limit definition. [₁x -4 x dx

A:

Q: 1. Evaluate the limit. lim √x²+1 X-00 3x+2

A:

Q: A quadratic function f is given. f(x) = x² + 2x - 1 (a) Express fin standard form. f(x) = (b) Sketch…

A:

Q: Consider the function f(x) = = function on this interval. 1 on the interval [4, 7]. Find the average…

A: To use the mean value of theorem for the given function

Q: Let f(x) = x¹/3(6x + 7)2/3. Find f'(x) and the critical numbers for f. f'(x) A = 18 B = 7 C = 2/3 D…

A:

Q: Find the maximum and minimum values of the function g(0) = 30 - 4 sin(0) on the interval [0, π]…

A: To find the minimum and maximum values of the function.

Q: Simplify the expressions. (Use only positive exponents in your answers.) (a) (9x4)(−5x−3) =…

A:

Q: Consider the function f(x) = 12x5 + 60x4- 100x³ + 4. f(x) has inflection points at (reading from…

A: The function is  f(x)=12x5+60x4-100x3+4

Q: In Exercises 5-8, sketch the graph of the given parametric equations by hand, making a table of…

A:

Q: The function f(x) has a continuous second derivative, and it satisfies f(-9) = -1, f'(-9) = 0 and…

A: use the second derivative test to check the correct answer

Q: If we apply Rolle's Theorem to the function ƒ(x) = 2x² - 16x - 3 on the interval [2, 6], how many…

A: The given function fx=2x2-16x-3 on the interval 2, 6, we have to apply Rolle's theorem and find the…

Q: No partial credit will be awarded for any part containing error. Express each of the following in…

A: Given; 1) sqrt(28) 2) sqrt(32) 3) sqrt(50) 4) sqrt(52) 5) sqrt(80) 6) sqrt(108)

Q: A farmer is constructing three equally-sized pens against the side of a barn for his animals, as…

A:

Q: Find the short test distanse between the two curves y = Sinx ² and x² + y² where the interset 2…

A:

Q: Find the equations of the normal line to the surface z=3x4y5 at the point (1,1,3).

A:

Q: " x² cos(3x) dx find u, v and then find the answer.

A: Given query is to  find the integral.

Q: Find 4 Σ (-()) i=2 First write out the summation: Find the answer:

A: Please see the below picture for detailed solution.

Q: 60. Show that the curve y = 1 + x 1+x² has three points of inflection and they all lie on one…

A:

Q: Find the second derivative. 6 Select one: A. 36 LIE

A:

Q: equation of the line that satisfies the given conditions. Through (4, 7); parallel to the line…

A: Given query is to find the equation of the line.

Q: foul shots LeBron attempted, he made 9 of them what percent of the foul shots did LeBron make

A: Given query is to find the Indicated percentage.

Q: (2x+3) y'=y+ (2x+3) when x = -1, y = 0 . y'-(3 tanx)y = / 11/2

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: Use the quotient rule to find the derivative of - 10 sin(x) - 4 7x⁹ + 10 You do not need to expand…

A:

Q: Find y" for y = -2(x²+6)3 y" = x

A:

Q: Directions: Circle each function that is an example of exponential decay (there are exactly five of…

A: As per the instruction, we will be answering the first three subparts. For (a), Graph: For (b),…

Q: Now that we know derivative rules, we can leave behind the Limit Definition of the Derivative (but…

A: " According to the guidelines issued by the company We are supposed to answer only one question.…

Q: A country's postal service will accept a package if its length plus its girth (the distance all the…

A: Let x be the a side of the square base and y be the length of the package.

Q: f z dz z+1 Ans. 1 - Int

A:

Q: 2. (x2) y = y+2(x2)

A: Topic = Differential equation

Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 300e−x^2 − 3y^2 − 7z^2  where T is…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…