Determine for the following equations. Simplify your answers. dx a) x² + y² = 36 b) 3x² + 4xy-7y=8

Q: The unit cost, in dollars, to produce bins of cat food is $19 and the fixed cost is $9450. The…

A: Unit cost = $ 19 fixed cost = $ 9450 Price demand function p(x) = 423x - 2x

Q: Determine the tangent and cotangent of given the following. Round your answer to three decimal…

A:

Q: A lighthouse is on an island 400 meters east of the shore of Lake Latasha. The lighthouse beam makes…

A:

Q: 4. The following expression involves logarithms. 3 log2 (n) + log2 (n + 1) - log2 (n² + 1) (a)…

A: Log expression 3log2(n)+log2(n+1)-log2(n2+1)

Q: A forest fire is found at midnight. It covers 1000 acres then. It is spreading at a rate of f(t) =…

A: Initially at time (t=0)  area covered by fire is =1000 acres Rate of spread =4t12   You'll have to…

Q: A company finds that the rate at which the quantity of a product that consumers demand changes with…

A: The given rate at which the quantity of a product is given by D'p=-10000p2, where p is the price per…

Q: y=xe Draw an accurate sketch of the graph.

A:

Q: Prove that if (c, f(c)) is a point of inflection of the graph of f and f" exists in an open interval…

A:

Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). r(t) = 5t²1 – 3tj + 3t³1 (a) r(t) (b) r"(t) (c)…

A:

Q: Calclate the integral and show work. ∫ (9)/(2x^3 + 5x^2 + 3x) dx

A:

Q: Question 19 Suppose that f is continuous on [1,5] and f(x) ≤ 0 if and only if 2 ≤ x ≤ 3. If 3…

A:

Q: 1. Find all values of d so that the average value of d - f(x) = 3x² - 11x + 14 for 2 < x < d is 5.

A:

Q: Set up triple integrals (with bounds) to find  (a) The volume of the solid enclosed by the cylinder…

A:

Q: Given that [¹21x√x² + 1 dx = 14√/2 - 7, what is [° 21 1 21uu²+1 du?

A:

Q: the graph of f(t)= cos (t/2-1/2) and t-axis on [0,л] with n=4 subintervals. Use midpoint of each…

A: f(t) = cos (t/2-π/2) and [0,π] with n=4

Q: Complete the following steps for the given function, interval, and value of n. a. Sketch the graph…

A:

Q: Find a general solution for the given differential equation with x as the independent variable. y""'…

A:

Q: Find the direction in which the maximum rate of change occurs for the function f(x, y) = 3r sin(xy)…

A: We have to find the direction in which maximum rate of change occurs for the function.

Q: Find the sum of the series: n=0 (-1)"4n+3 (2n)! Question Help: Video 1 Video 2

A: The given series is:∑n=0∞ (-1)n 4n+3(2n)!

Q: Use the following information to answer the question. ƒ(3) g(3) = 4 = 4 f'(3) g'(3) = 3 Given h(x) =…

A: Given

Q: A solid occupies the space above the region in the plane described by inequalities: 3 ≤ x² + y² ≤…

A:

Q: The upper half of the ellipse centered at the origin with axes of length 2a and 2b is b2 described…

A:

Q: 43. 2+√4-x²-y² BS 2²/ -2 -√√4-x 2-√4-x²-y2 (x² + y² + z²)³/2 dz dy dx

A:

Q: Given f(x) = e with f"(0) = 8, f'(0) = 2, ƒ(x) = || + C. then f(x) Note that your answer should not…

A: Given the question :- F"'(x)=ex with f"(0)=8,f'(0)=2

Q: Consider the following. f(x) = x2/3, Xo = 1 (a) Find the linear approximation L(x) to fat xo. L(x) =…

A: The linearization or Linear approximation of a function f(x) at the point x0 is given by…

Q: A function f is a ratio of quadratic functions and has a vertical asymptote x = 8 and just one…

A:

Q: Find the area of the region that lies inside both curves. r = 5 sin(8), r = 5 cos(6)

A:

Q: A surveyor standing some distance from a mountain, measures the angle of elevation from the ground…

A: Given angle of elevation.

Q: d²y and find the slope and concavity (if possible) at the given value of the parameter. (If an…

A:

Q: Calculate the work W against gravity required to build a box of height 7 m and a square base of side…

A: Given a box of height 7m and a square base of side 3m out of a lightweight material of density 600…

Q: Can someone help me with this please?

A:

Q: Rewrite the expression in terms of the given angle's reference angle; then evaluate the result.…

A:

Q: lim X→18 V 1 + 16x6 5-x³ +3

A: We know that the value 1/infinity=0

Q: valuate √ F. dĩ where F =, and C' is given by F(t) =, 0≤ t ≤

A: Firs change x=t4,y=t,z=2 then find integral

Q: O (√x-x² + 2)dx 2

A:

Q: The ACME manufacturing company makes widgets. Their fixed costs are $1600 per month, while their…

A: We have given  Fixed cost = $1600 cost per widget = $ 7 Selling price for each widget = $21 The cost…

Q: Find radius and interval of convergence for follwoing power series: ∑∞ n+1: (n/n+1) * (x-1)^n

A: To solve the following

Q: Use the ratio test to determine whether the series is convergent or divergent. where k=1, the…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 9x8 + 4 S (x⁹ + 4x)² 2 dx

A: ∫9x8+4x9+4x2dx

Q: OF Y=X+2 The region in the first quadrant bounded by the graphs. y=2x, and the y-axis is revolved…

A:

Q: help

A:

Q: 14. Give a geometric explanation of why 2π/n 1-2 0 r² do = лr² 2 for any positive real number r and…

A: n2∫02πnr2dθ=πr2 For any positive real number r and any positive integer n. Prove this geometrically.…

Q: Solve the differential equation. dy dx 6 1 =√y cos ² √y

A:

Q: Each of the integrals or integral expressions in Exercises 38-44 represents the area of a region in…

A:

Q: a. Write the equation of the line that represents the linear approximation to the following function…

A: fx=xx+2,  a=1  &amp;  f1.3 a). Differentiating with respect to x, we get…

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 2 cos(t)i + 11 sin(t)j +…

A:

Q: 7. Find 3 So 1 X x5/2 + x3/2 -dx

A:

Q: The demand function for an electronics company's car stereos is D(q) = 222.4 - 189 and the supply…

A:

Q: For the given function, determine the following if possible. If it is not possible, explain why. You…

A: .

Q: Find the flux of ♬ through the closed cylinder of radius 3, centered on the z-axis, with 3 ≤ z ≤ 5…

A: