There is one point of intersection in the graphs of the conics. (x + 1)² + (y - 3)² = 25 (y - 3)² = 2 (x − 4) What are the coordinates of this point of intersection? Enter your answer by filling in the boxes.

Q: 1) Evaluate the following triple integral: 1 xx+y IT 01 0 6z dzdydx

A:

Q: Which of the following are linear combinations of v1 = (1, -2,2) v2 = (3, -5,7) O a. (24, -39, 51) O…

A:

Q: Find the sum of the series. 8 Ë (-1)^2n n = 0 42n(2n)!

A: To find the sum of the following series.

Q: Use Stokes' Theorem to evaluate ff curlF. ds. F(x, y, z) = 2xyi + 3yzj + 3z²k; S is the part of the…

A:

Q: (a) Use differentiation to find a power series representation for f(x) = 1 (3 + x)²

A: f(x)=1(3+x)2

Q: Find a formula F = ( F₁(x, y), F₂(x, y)) for the vector field in the plane that has the properties…

A:

Q: 3. (a) The region in Figure 8.35 is rotated around the y- axis. Using the strip shown, write an…

A: We have to write an integral for volume and evaluate it.

Q: A colony of bacteria is growing exponentially with growth constant k = 0.25. (a) Determine the rate…

A: Given bacteria population rate and bacteria population functions are

Q: Producers' Surplus The manufacturer of a brand of mattresses will make x hundred units available in…

A:

Q: Find the area of the region bounded by the curve y = The area of the region is (Type an exact…

A:

Q: (c)xn 2n n!

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: The plane passes through points  and  and is perpendicular to the plane

Q: The graph above is of the function: 9 Value of € = 8 (enter as a decimal). 7 6 5: 4 (2+5) 5+c (2)-5…

A:

Q: Find the first partial derivatives of the function. f(x, y) = x√√/1 + y5

A:

Q: Find a function of the form y = Asin (kx) + C or y = A cos(kx) + C whose graph matches the function…

A: To find a function of the form  whose graph matches with the function shown below.

Q: Antiderivatives Solve the following initial value problem. By this, we mean that you should find…

A:

Q: 15. 3 Krite the Taylor series for F(x) = x about x =2 & Cn (x-2)^₂ Find the first 5 coefficients n=0

A:

Q: You want to sell a certain number n of items in order to maximize your profit. Market research tells…

A:

Q: Differentiate the following functions using the quotient rule. a) You are given that f (x) a df dx…

A: The Power Rule:The Chain Rule:The Quotient Rule:

Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

A:

Q: Find the Taylor Series for f(x) = - 1 02 at a = 1. Answer: f(x) = Σ 1-2(x-1) +3(x-1)2 – 4(x − 1) - 3…

A: To find the Taylor Series for  at .

Q: write a Riemann sum and then a def- inite integral representing the volume of the region, using the…

A: The solution is shown in step-2

Q: Use implicit differentiation to find y cos (1) = 5x + 5y dy dx

A:

Q: Connecting the Start Capacitor The spacecraft is nearly ready for takeoff! The last task is to…

A: The solution is shown in step-2

Q: ∞ 65 N LOFF 1- -1 8- 15 -3 #- & *

A: The standard cosine equation is = vertical shift = Amplitude Time period phase shift

Q: JII, xy dv, where D is the interior of the sphere x² + y² + z² = = 1 in the first octant, 0 ≤ x, y,…

A:

Q: Let f be a function such that lim_ f(¹+h)-f(1) h h→0 Which of the followings must be true? (select…

A: Given that  Is a function such that,

Q: Estimate the area under the graph of the function f(x)=√x + 6 from x = -3 to x = 4 using a Riemann…

A:

Q: Find the area cut out of the cylinder x² + ² = 100 by the cylinder x² + y² = 100.

A:

Q: y = x(x-2)

A: Given that  and we find derivative of this function by using logarithmic.

Q: 2. A particle moves in a straight line and has acceleration given by a(t) = cost + sin f. Its…

A:

Q: Solve the initial value problem. d²y dx² = 1-9x, y'(0) = 8, y(0)=2 3 O A. y=x²-x³. + 8x + 2 NI 2 3…

A:

Q: Find the center of mass of the following plane region with variable density. Describe the…

A:

Q: Jutside temperature over a day can be modeled as a sinusoidal function. Suppose you know the…

A:

Q: (a) Find the critical number(s) of s. (b) Is the graph of s increasing, decreasing, or neither, at t…

A:

Q: Growing the Raw Materials As the gate opens, you step into a room that appears to be a laboratory of…

A: The solution is shown in step-2

Q: Start with the geometric series Σχ m=0

A: ∑n=1∞nxn,|x|<1

Q: Charging the Capacitor Having stabilized the fuel, you look to your computer for next steps. You are…

A:

Q: Average Temperature The temperature (in degrees Fahrenheit) in Boston over a 12 hr period on a…

A: The given function is

Q: Find a basis for the kernel of the linear operator: T(x, y) = (6x - y, -24x + 4y) NOTE: Using the…

A: Given,

Q: secxdx

A: I=∫sec2x dx

Q: A hemispherical bowl of radius 18 cm contains water to a depth of h cm as shown below. (a) Find the…

A: We have to find the rate of descrease of radius.

Q: (a)yn = ln (n+1) - ln n

A:

Q: A function f and its derivative f' are shown below. Assume a is a nonzero constant. Note: a is a…

A:

Q: Write the formula for Newton's method and use the given initial approximation to compute the…

A:

Q: Test the series for convergence or divergence. Σ k = 1 O convergent divergent gk 3k + 7k

A:

Q: a B b A

A: c=5 and A=55 degrees

Q: ind the velocity,acceleration, & speed of a particle with the given position function.…

A: To find the velocity, acceleration, and speed of a particle with the given position function…

Q: Consider the following separable differential equation (a) Write this equation in the form [P (y) dy…

A: Given Differential Equation

Q: If y = (x² - sin x)¹ then y' = 3 O 4(x² - sin x)³(2x - cos x) O 4(2x - cos x)³ (x² - sin x) ○ 4(2x -…

A: The given function is