Find the center and radius of the sphere. 5x² +5y² +5z² +x+y+z=4 Center = (1), radius=

Q: Please help find the point of intersection and the angle between the lines y = x + 3 and y = 2x + 1.

A:

Q: For what value of b, does the integral f√2x + 1dx equal lim, του Σκι (12 (54) + Σ=1 2 (5k) + 1) (5)…

A:

Q: Write the equation of the tangent line to the curve at the indicated point. As a check, graph both…

A:

Q: Give an expression for p (x) so the integral p(x) cos(7x) dx can be evaluated using integration by…

A:

Q: The area of the region bounded by the graphs of y=xe*, x = 0, x = ln 10, and the x-axis is

A: Region is bounded by the graphs of y=xex,x=0,x=ln⁡10, and the x-axis Area =∫0ln⁡(10)xexdxUsing…

Q: F(x)=2x-1.      G(x)=3x-4. Find (f/g) (x)

A:

Q: Directions: Both first partial derivatives of the function f(x, y) are zero at each of the given…

A: f(x,y)=6xy2-3y4

Q: Directions: Calculate the following indefinite integral (make sure you include +C as part of your…

A:

Q: What is one third of 325?

A:

Q: If the demand for a product is given by 1000 D(P) what is the average rate of change of demand when…

A:

Q: Determine the distance between the point (2, 1, 3) and the plane x+y+z+1=0. 3.12 units 3.46 units…

A:

Q: a bus located 19 meters to the east of an intersection while a car is located 48 meters to the south…

A: A bus located 19 meters to the east of an intersection while a car is located48 meters to the south…

Q: I cant read step 5 clearly!!

A: You need the step 5 again of the previous question.

Q: 1 1 2 [² ( ₁ + ²/2w² - ²/₁²) ₁ 10) 1+ du 0

A: The given integral is .The aim is to find the value of the integral.

Q: Let f(x) be a differentiable function with the properties that f(1) = 8 and lim f(x) = 5. [ªfa f'(x)…

A: f(x) be a differentiable function with the propertiesf(1)=8 and limx→∞f(x)=5.

Q: 20) Find the conditions on a and d such that the matrix A = [] has and inverse. What is the inverse…

A: Given,

Q: State whether the following is true or false by differentiation. [ cos² (x) dx = 2 x 1/x + 1/…

A:

Q: 6e2x 1-etx Select one: -dx = O a. 6sin ¹e²x + C O b. In√√1-e4x + C 3sin-¹e2x + C O c. O d. 3√1-e+x+C

A: We need to find out the integration."Note that as per the rules, when the multiple questions are…

Q: Give a limit expression that describes the right end behavior of the function. Use - ∞ or ∞ where…

A: We find the limit value of given expression by x tends to ♾️.

Q: 36= (3²) (5⁰) (x-²)

A:

Q: Directions: Consider the following differential equation and function: Function: f(t) = 1/² - 1/…

A:

Q: A schematic drawing of a 70-ft dome used by a weather service to house radar is shown to the right.…

A: from figure ,Let AB=yBC=xand AC=35 ft.

Q: Directions: Calculate the following indefinite integral (make sure you include +C as part of your…

A:

Q: CONVERT THE EQUATION TO GENERAL FORM (x +10)² + (y + 12)³² = 16

A:

Q: Zoe purchased a house in 1999 for $175,000. In 2003 she sold the house and made a net profit of…

A:

Q: a. Use the product rule to find the derivative of the given function. b. Find the derivative by…

A: The given function is .The aim is to find the derivative of the function.

Q: Q5) Choose your technique(s) to evaluate the following integrals. a. jx³√²³² +4dx b. Je dx

A:

Q: Directions: Solve the initial value problem. Solution: y = 0 y' 7-t y² and y(0) = 5

A:

Q: Cross products of vectors

A: The question is asking whether two vectors A and B are equal if their cross products with a third…

Q: Directions: Calculate the following indefinite integral using either the substitution rule or…

A:

Q: Find a linear equation whose graph is the straight line with the given properties. y(x) = through -1…

A:

Q: Show that the function f(x)= √6x-x² is continuous on the closed interval [0, 6].

A:

Q: Find the radius of convergence, R, of the series. n=3 Find the interval, I, of convergence of the…

A:

Q: 2. Amy reduces the expression 3 x x² 9 x 3 3 X x² 9 X 9713 and says that because 3, the expressions…

A:

Q: Lawrie, Gavin, and Alan are building a shed in the shape of a rectangular prism. The volume of the…

A:

Q: for b find y...

A:

Q: Directions: The graph of function f(x) is given below. Use this to sketch the graph of its…

A: Given graph of f(x)

Q: | The function y(x) = e-2x is a solution for x²y" - 2xy' +5y=0. Select one: O True False

A:

Q: Find the volume of the solid generated by rotating about the x-axis the region bounded by y = 3.7²,…

A: find the volume of the solid generated by rotating about the x-axis.

Q: Find a parameterization for a circle of radius 7 with center (-1,5,4) in a plane parallel to the xy…

A:

Q: do b and c.......

A: The given differential equation b)  , c) ,

Q: (4) Solve the initial value problem dy x(x + 1) +xy= 1, y(e) = 1. dr

A:

Q: Below are attempts at u-substitution by students. Explain where each student went wrong, then…

A: Given,.

Q: Directions: Solve the initial value problem. Solution: y = 0 ✓-(:)** = and y(0) = 1

A:

Q: The force on an object is F= -14 j. For the vector = -2+ , find: (a) The component of parallel to :…

A:

Q: Directions: Construct a Regression Model for the following data. Years (after 2000) Dollars 9 8175…

A:

Q: Can you show how you would solve it using the half angle identities as well?

A: The given integral is

Q: Calculate the following iterated integral. L. (1² e dy) da = 2-º dx e

A:

Q: a gas is escaping a spherical balloon at the rate of 4 cubic centimeters per minute. How fast is…

A: The objective of this problem is to find the rate at which the surface area of the balloon is…

Q: We create a solid of revolution by revolving R about the line y = 12. Set up an expression with…

A: Given that the region R bounded  by the lines