dy/dx=3x2 given (0,-2)

Q: Find the area of the region inside the blue circle r = 2 cos 0 but outside the red circle r = 1…

A: To find the area of the region inside the blue circle  butoutside the red circle  shown below.

Q: . Let f(x, y) = x² (y-1) x²+(y-1)² Determine the existence of limit lim f(x, y) (x,y)-(0,1) ху y =…

A: Given below solution Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 6) The Drag, F in Newtons (N) on a certain airplane is F= 0.00500² + 300000000 12 where v is the…

A:

Q: Consider the vector whose initial point is P(3, 1) and terminal point is Q(4, -6). Find the position…

A:

Q: Find the critical numbers of the function f(x)=-12x to the fifth power  - 75x to the fourth power +…

A: The objective of this question is to find the critical numbers of the given function and classify…

Q: Consider the indefinite integral 7x37x264x + 80 dx x²+16x2 Then the integrand has partial fractions…

A:

Q: Write out the first five terms of the sequence with, [(1)"] determine whether the sequence…

A:

Q: Use sigma notation to write the sum.

A: Answer is 4Σn=1 = [1-(n/4)2]Explanation:Step 1:Step 2: Step 3: Step 4:

Q: Three brands of health supplements are to be compared by testing each brand on a group of ten…

A: The objective of this question is to determine if there is a significant difference in the health…

Q: 3) Evaluate the integral 00 a) √2° 1 x√√x²-4 dx b) S√ dx -1 x2-2x Π 4 xsinx c) Số cos3x dx

A: 3.a)

Q: find the x intercepts y intercepts of (x−3)(x−1)(x+4) (x−2)(x−5)

A: The objective of the question is to find the x-intercepts and y-intercepts of the given function…

Q: 5) The electrical Power given in Watts (W) produced in a certain battery is given by P= 144 r (r +…

A: Given that the electrical power given in Watts (W) produced in a certain battery is given by ,where…

Q: Need help understanding what to do please help ??

A: W = 5675812.3571 lb ftsExplanation:

Q: If z = sin () and x = ln(u) and y = v4, find the following partial derivatives using the chain rule.…

A: Given that

Q: Transform the following product by making the change of variable j = i - 1. 2n II n-i+7 n+i i = n =…

A: The given product

Q: Verify the Divergence Theorem for the vector field and region: F = (7x, 3z, 9y) and the region x² +…

A:

Q: 2. Compute the sum of the shaded areas. The shaded areas are half circles. Assume that the pattern…

A: Given that each successive circle has a radius that is half of the prior circle.The given figure

Q: 2 4-y²² #13 Given S² S√4-y 0 0 (y) ddy (a) Write down inequalities. in xy representing the region R…

A: 4πExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Given: x³-3t, y=t²-5 = a) Find the points on the curve where the tangent is horizontal or vertical.…

A: Given: To Find: (a) The points on the curve where the tangent is horizontal or vertical.(b)  in…

Q: Use logarithmic differentiation to find dy/dx.

A: Answer is given below Explanation:

Q: Find the curve's unit tangent vector. r(t) ti+ k. Osts3 The curve's unit tangent vector is (++ (k.…

A: The given vector valued curve equation is The unit tangent vector given by

Q: 5) If f(x)=6x sin" '(x), find' (x) f'(x)= Find f'(0.7) f'(0.7)= 6) Evaluate the integral S 0.8 dx…

A:

Q: 2.An MRT train 6m above the ground crosses a street 9 m/s at the instant that a car approaching at a…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 5 K 7 10

A:

Q: The management of a large chain of frozen yogurt stores in New England believes that t days after…

A:

Q: Use a graphing utility to graph the curve represented by the parametric equations. (Indicate the…

A: The given parametric equation is: Use a graphing utility to graph the curve represented by the…

Q: 1. f(x) = (4x2)5

A: As per company guidelines for a question posted we are allowed to solve only first three subparts…

Q: Verify the identity. Show that cos (p+q) cos (p-q) = cotp cotg - 1 cotp cotg+1

A: Need to verify the identity.

Q: Please be very detailed I’m having trouble getting the right graph

A: Answer Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Please don't provide handwritten solution ...

A: Ans: V=π∑i=07​(4e−(0.125/2+i×0.125)2)2×0.125,  calculate the sum to get the approximate…

Q: The graph gives the number of farms in the United States from 1850 to 2000. y 7000 6000 5000 4000…

A:

Q: Problem #2: Find the Laplace transform F(s) of (41²-7)².

A: f(t) = (4t2-7)2We have to gind laplace transform of f(t)i.e....F(s)

Q: (a) | (x+ h)² = x²| 0 V V (b) | (x+ h)² = x²| < 3h, where h<0 5 97 80 50 זיייייייייייין +

A: a. x∈(−2h,h) b. x∈(h,−2h), where h is negative.Explanation:Approach to solving the question:Detailed…

Q: 1. f(x) = (4 — x²)5

A: Second derivative test for local maxima and minima :

Q: = Suppose that a continuous income stream has an annual rate of flow f(t) 700e-0.052 (in thousands…

A: Given:a continuous income stream has an annual rate of flow  in thousands of dollars per year.To…

Q: Let ā = (1, 5) and 6 = (3,0). Find —ã – b. - - V Λ

A: Answer: &lt;-4,-5&gt;Explanation:For any query with the solution please ask in the comment box.

Q: 5 A polar curve is given by r = (3-cos(0)) What is the rectangular equation of the tangent line at 0…

A:

Q: მ2 Use the chain rule to find 3 and 4, where 8s5t, y=5s + 6t = x² + xy + y², x = 8s + 5t, y First…

A:

Q: math help

A: see explanationExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Question 4 Consider the curve 5x²+4xy+4y³ = 29125 (a) Show that P(-75,-5) is on the curve i.e., show…

A:

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = e⁹x + e-x (a) Find the…

A: Given: To Find: (a) To find the intervals on which f is increasing and decreasing.(b) To find the…

Q: Find the following limits

A: The final answer is:The limit does not exist.Explanation:

Q: Drug Sensitivity One hour after a dose of a milligrams of a drug Predamestane is administered to a…

A:

Q: can you solve this question for me

A: The objective of this question is to determine whether the given series converges or diverges. If it…

Q: N Find the general solution of this equation: 9y"+6y'+ y =

A: The objective of this question is to find the general solution of the given second order homogeneous…

Q: Find the area of the surface formed by revolving about the polar axis the following curve over the…

A: r= 3cos(θ), 0&lt;=θ&lt;=π/2We have to find surface area formed by revolving about the polar axis the…

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about th…

A: Given the region is bounded by the curve  and line

Q: Two towns A and B are 5 km and 7 km, respectively, from a railroad line. The points C and D nearest…

A: Answer Explanation:

Q: If F(x) = f(xf(xf(x))), where f(1) = 3, f(3) = 4, f'(1) = 4, f'(3) = 5, and f'(4) = 6. Find F'(1).…

A:

Q: 2 4+1 +6 Let f(x,y) = G) Find the linearization ((x,y) near P. (1,-2). 6) Use (a) to estimate…

A: The given function The linearization of  the function  at point  is