Find the equation of the sphere of radius 8 centered at (1, 3, 6). O x² + y² +z² = 46 O x² + y² + z² = 64 O(x - 1)² + (y - 3)² + (z - 6)² = 8 O (x + 1)² + (y + 3)² + (z + 6)² = 64 O (x - 1)² + (y - 3)² + (z - 6)² = 64

Q: Since the Mean Value Theorem is applicable, at least one point c exists in (0, 1) such that f'(c) =…

A: To fill in the blanks.Since the Mean Value Theorem is applicable, at least one point c exists in 0,…

Q: Find f" (1/2) when f(x) 2x+3. Round your answer to three decimal places.

A: To find f''12, when fx=2x+3.To round the answer to three decimal places.

Q: Both x and y denote functions of t that are related by the given equation. Use this equation and the…

A:

Q: Find the differential dy of the given function. dy sec x x² +9

A:

Q: Find dx dt dx dt at x 2 if y= = - 2x² - 1 and dy dt = - 3.

A:

Q: Find the area of the region common to the circles r=-6 sin 9 and r= 3.

A:

Q: A graphing calculator is recommended. Consider the function. f(x) = 9x² - 1, x = 1 to x = 2 Find the…

A:

Q: A particle moves along a line with a velocity v(t) = -t² + 3t - 7, measured in meters per second.…

A:

Q: A. Two lines are parallel. Line A is with equation 6y=2x-18 and line B is with equation 3y-6-x. Draw…

A:

Q: Find the slope of the tangent line to the curve - 3x² – 3xy - 4y³ = 265 at the point (1,4).

A:

Q: Find the derivative of the function. 7 ²+8t-8 s' (t) = s(t) Submit Answer

A:

Q: Solve the equation. Write the solution set with the exact values given in terms of common or natural…

A:

Q: re of the distance from the source. Iwo point light sources with strengths of S and 273 are…

A:

Q: Use substitution and partial fractions to find the indefinite integral. 1. Step 1 √x X - 49 dx Let u…

A:

Q: Find the unit tangent vector to the curve at the specified value of the parameter. (-)- II r(t) = 3…

A:

Q: Use implicit differentiation to determine dy dr || given the equation xy + tan(x) = cot(y). dr

A:

Q: Find the absolute extrema of the function on the closed interval. f(x) = 3x²+2, [1, 2] (x, y) =…

A: We want to find extrema

Q: Question d²2 y dx² Find dx² if -9x² - 5y² Provide your answer below: = = -3.

A:

Q: Find the exact value of the trigonometric function given that sin u = - 8 17 sin(u + v) Need Help?…

A:

Q: (22) Graph f(x) = e. (23) Let f(x) = e. Then, it is an • limx→∞ f (x) = and lim (24) Find lim, f(x)…

A:

Q: 10). Use the Integral Test to determine whether the sum converges. ∞     n = 1 n 9 + n2 Evaluate…

A: Since, the given series is ∑n=1∞nn2+9Our Aim is to evaluate the integral given below:-∫1∞xx2+9 -(i)

Q: To evaluate the integral fx e²dx using integration by parts, the best choices for u and dv are: Oue,…

A: The objective of the question is choose the correct option for integration by parts.

Q: Two cars are moving towards an intersection. One car is 190 meters north of the intersection and…

A: The first car is moving south at 18 m/s. The second car is moving west at 12ms. If the intersection…

Q: Write the first five terms of the arithmetic sequence defined recu = 2.5, a 0+1=3 +0.75 (0 82 N 33…

A:

Q: Use the information to find and compare Ay and dy. (Round your answers to three decimal places.) y =…

A:

Q: 56. V4 - 16x²

A:

Q: Find the periodic payments PMT necessary to accumulate the given amount in an annuity account.…

A:

Q: A store is deciding what types of fruit to stock nearest to the registers. They can either stock…

A:

Q: Find the area of the region. Use a graphing utility to verify your result. √3x · V√x+1 y 50 40 30…

A:

Q: (3) Since ● d dx In(x)) (4) Recall the integration formula for n-1 (why?) fr" dx = (5) Find the…

A:

Q: Use Green's Theorem to evaluate the line integral. by² dx + xy c C: boundary of the region lying…

A: The objective of the question is evaluate the definite integral using Green's Theorem.

Q: Find the volume of the solid generated by revolving the shaded region about the x-axis. 0- 0 3x + 4y…

A:

Q: a definite integral to find the area under the curve between the given x-values. 1 VX f(x) = from x…

A: Please refer to the image below

Q: Factor the expression and use the fundamental identities to simplify. There is more than one correct…

A:

Q: There is no solution, {}. O The exact solution set is x2

A:

Q: Find the standard form of the equation of the ellipse with the given characteristics and center at…

A:

Q: Verify the identity. (Simplify at each step.) 5/2 sin 1/2 1/2 sin X COS X - X COS X - sin 5/2 sin X…

A: Here we have to verify the identity.

Q: Use the given information to complete the solution of the partially solved Venn diagram. n(A) = 17,…

A: Given n(A)=17, n(B)=12, n(C)=32, n(S)=41. Let x is inside of A and out side of B and C. Let y is…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Our Aim is to find the inverse Laplace Transform of the function given below:-L-14s-8s2+ss2+1-(i)

Q: 1. Show the limit lim (r.y) ›(0,0) I 6 +y² does not exist

A:

Q: (a) Evaluate P(0) (round to the nearest tenth of a million) and interpret its meaning in the context…

A: SOLUTION-

Q: The hypercritical value x = 2 is obtained from a continuous function f" (a). Let f" (0) = -1 and f"…

A:

Q: Question Given f(x) = 8x + 1, write a limit representing the derivative of f(x) at x = 1. Provide…

A:

Q: all explain the range and domain for each. (6) Draw the graph of the function f(x) = (7) Graph the…

A:

Q: Find all solutions of the equation in the interval [0, 2). (Enter your answers as a comma-separated…

A:

Q: The amount of pollution in a lake x years after the closing of a chemical plant is P(x) = 400/x tons…

A: Topic - Average value of function over interval

Q: Find the area shared by the circle r=1 and r=2cos(theta)

A:

Q: 1. If L{f(t)} = F(s), then A) L{eat f(t)} = F(s + a) B) L{eat f(t)} = F(s-a) 2. What is the Laplace…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: 4. Material a is a water and material b is a glass with index of refraction 1.52. If the incident…

A: Explained below

Q: Find the center and the radius of the circle with the equation Enter the center as an ordered pair…

A: