-3 6-2x 5. f 2 dy dx 6. -2y 2²²(x² + y²) dx dy

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

A: As per guidelines we support only one question in one request. kindly repost next question in next…

Q: Let F= (y,x) and C be the circle of radius 9 centered at the origin oriented counterclockwise.…

A: Given function is:F=y, xC be the circle of radius 9 which is centered at origin.

Q: For what values of a does the series A (В C D x = only 8 1 < x < 2 only 1 ≤ x ≤2 only n=0 (2x - 3)"…

A: The given series : ∑n=0∞2x-3nn!.We need to determine the values of x for which the series converges.

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A:

Q: e linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: Thickness of paint = 0.01cm Diameter of hemispherical dome is 60 meter

Q: t the Fundamental Theorem for line integrals can be used to evalua

A:

Q: Describe the behavior as n increases. W f(n) = |(i-¹)n|

A:

Q: Use the remainder theorem and synthetic division to find the value of f(x) where xis -3. f(x) = x² +…

A:

Q: 10) Find the decay rate for element x if the half life is 300 years

A: Law of Decay x = x0e-ktWhere x = amount after time t x0 = initial amount k = decay rate t = time

Q: 79. Find the area between y = e* and y = e²x over [0, 1].

A:

Q: Find the point or points on the curvey² - 3x² = 100 that is closest to (5,0). The point is more than…

A:

Q: 2. Find the inverse transforms of these expressions. You may need Partial Fractions or other…

A: To find

Q: Find an equation of the curve that satisfies and whose y-intercept is 3. y(x): = dy dx || = 12yx²

A:

Q: For this question, we are going to consider the global extrema of the function p(t)- 8t5 - 5ct where…

A:

Q: Use the graphs of f, f', and f" to estimate the x-coordinates of the maximum and minimum points and…

A: Solve the function

Q: 8) f(x) = (2x³+4)e+²

A: fx=2x3+4ex2+4x

Q: Find ffxy, fx, and f, for the following function yx yy 15) f(x, y) = 3x²y−2x² − 2xy +4

A:

Q: part d is wrong

A:

Q: Use the Comparison Tests for Convergence or Divergence to determine whether the series converges or…

A:

Q: Find the centroid of the region. NOTE: Enter the exact answers. (x, y) = (?, ?) Y y=√169x² x

A:

Q: Use L'Hôpital's rule 4. lim x csc x x →0

A:

Q: Sketch a graph of the derivative of the function f shown to the right. Which graph below shows a…

A:

Q: Clearly show all work. Use the graphs of x = x(t) and y = y(t) to sketch the parametric curve x =…

A: Given :      Aim:  To sketch a parametric curve x=x(t) &amp; y=y(t) using the given curves.…

Q: in. margins on the sides. She further Book Design A book designer has decided that the pages of a…

A:

Q: Find the area of the indicated region. We suggest you graph the curves to check whether one is above…

A:

Q: The area under y=k-x and above the x-axis and the y-axis is equal to .... where k=4

A:

Q: 9. Let f and f-1 be functions. If the point (-4, 6) is on the graph of f-1, what point is on the…

A: Let f and f-1 be functions. If the point -4, 6 is on the graph of f, then to determine  the point on…

Q: If f(x) = x³ - 6x + 4 is divided by x + 2, by the Remainder Theorem f(-2) = 8. о True False

A:

Q: We have already introduced the symbols -p (for negation "not p") and pVq (for disjunction "either p…

A:

Q: Find the open intervals on which the function f(x) = x + 8√/1-x is increasing or decreasing. The…

A:

Q: As machines get older, the cost of maintaining them tends to increase. Suppose for a particular…

A:

Q: Find the derivatives of the function

A: Given: y=x5ex We are required to find: Derivative of y

Q: Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a…

A:

Q: The function p(t)- 20 sin 2xt + 100 models a person's blood pressure while resting, where p(t)…

A:

Q: Fresh water flows into tank 1; mixed brine flows from tank 1 into tank 2, from tank 2 into the

A:

Q: Consider the parallelepiped with adjacent edges Find the volume. V = i u = 7i + 9j + k v=i+j+2k w =…

A: Adjacent sides of parallelepiped in vector form,

Q: Consider the equation   y=4x-x^2  on the interval [1, 5] a. Find all critical points (including the…

A: Note: As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: find the general solution of the differential equation: y''-12y'+6^2y=e^(6x)*arctan(x) using the…

A:

Q: Find the general solution of x2y" - xy' + y = x ln (x)

A: The given differential equation is:x2y''-xy'+y=x ln(x)

Q: 21. Let f(x) = x² + x + 1. a. Show that f¹ exists (but do not attempt to find it). Hint: Show that f…

A: (22)  f(x)=x7+x+1we know d dx(xn)=nxn-1

Q: (8s²-4s+12)e-³ s(s²+4)

A: We need to find the following.

Q: 67. (e4x + 1) dx

A:

Q: Find the centroid of the region. NOTE: Enter the exact answers. (x, y) = (?, ?) Y y=x6 1 x

A:

Q: Find f(x) if f(0) = 1 and the tangent line at (x, f(x)) has slope 3x

A:

Q: Find the real zeros, if any, of the quadratic function using the quadratic formula. What are the…

A: fx=x2+10x+20 Comparing this with quadratic equation  fx=ax2+bx+c We get,  a=1,b=10,c=20 So,…

Q: 69. 1 S² 0 xe-x/2 dx

A: The given integral is xe-x^2/2 limit from 0 to 1.

Q: Use synthetic division to divide 5x2-25x-3. The last row of synthetic division is: X-4

A:

Q: 8. Evaluate the triple integral of xyz dz dy dx for the following limits: z from 0 to y, y from 0 o…

A:

Q: 13. f(x) = e−4x + 9

A:

Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. (a) 27 (b) 90…

A: