state the domain and range for each of the following:

Q: et T(x, y, z)= 100+ x² + y² represent the temperature at each point on the sphere x² + y² + z² = 80.…

A: Given: Tx,y,z=100+x2+y2sphere g= x2+y2+z2=80plane h =x-z=0

Q: 7. f sin4xdx

A:

Q: 8W!! n=1 elect the correct choice below and, if necessary, fill in the answer box to complete your…

A: We have to find out the convergence test

Q: Let u =(3,-4) and v= (-1,-4). Express u+v in the form (a,b). u+v= (Simplify your answers.)

A: The objective of the question is evaluate the sum of given vectors .

Q: Find the minimum distance from the point to the plane x - y + z = 6. (Hint: To simplify the…

A:

Q: 1. Consider the function f given by f(x)=√ √Int²-1dt 1 Compute the length of the curve y=f(x) from…

A:

Q: Of(x) = 2x Of(x) = x²²

A:

Q: Write the first three terms of the sequence. an = 5n-4 2 n² +4 a3 The first three terms are a₁ = ₁a₂…

A:

Q: Let u = (8,4) and v= (9,4). Express 5u + 3v in the form (a,b). 5u+3v => (Simplify your answers.)

A: In this question we have to find the 5u+3v.

Q: Estimate the slope of the tangent line of the function y(t) = √√/4t + 1 at the point t = 3. (Use…

A:

Q: 1) Given f(x) = -6x +5 and g(x) = 2x + 3 b) Find f (f ¹) (2)

A: We need to find f(f-1)(2).

Q: 15. Find the volume of the solid generated by revolving y-axis, the area enclosed by the parabole y²…

A:

Q: Homework: HW03 (13.1) Vectors in the Plane Find the following vector. The vector in the direction of…

A: The vector in the direction of <a,b> of length l is given by, u=[l/√(a²+b²)].<a,b>

Q: 17 Bb Bb Ma III-20225S) Summer II - Varatharajah Homework: HW03 (13.1) Vectors in the Plane Let u =…

A:

Q: dz 2 ē j ( W ± ¹ ) ( x (Z) e ³ (W+¹) Z dz 2 BO t AN Z 2dt = dz t = How did he get the value inside…

A: Multiply the term in power of exponential and then use am+n  = am * an Since, one term is constant…

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A:

Q: Find a formula for the nth term of the sequence. 1, 4, 9, 16, 25,... Determine the sequence's…

A:

Q: Use a graphing utility to graph the polar equation. Between the loops of r = 3(1 + 2 sin(0)) 4 6 4 0…

A:

Q: The integral is improper. Select one: O True O False 9 -| x - 1 -dx

A: The given integral is 1/(x-1), limit from 1 to 9.

Q: Define the points Q(3,2) and R(8,- 10). Carry out the following calculation. Find the unit vector…

A:

Q: Find the minimum distance from the point (6, 0, 5) to the plane x - y + z = 3. (Hint: To simplify…

A:

Q: Find a function whose graph is the given curve. the bottom half of the circle x2 + y2 = 4 f(x) =

A:

Q: Suppose that y varies inversely with x, and y = 4 when .x = 3. (a) Write an inverse variation…

A: Solution of given question is written in below steps.

Q: Find the relative maximum and minimum values. f(x,y) = x³ +y³-21xy Select the correct choice below…

A:

Q: 1 dy = (64xy) 3 dx

A: Please see the answer below.

Q: 8. Find the limit (if it exists) of the sequence (x_n) where x_n= [1+(1/n)]^n.

A:

Q: 1. Find the numbers for x where the function below is not continuous. Explain what type of…

A: From the given graph, we discuss about the discontinuous points and its types

Q: A share valued at $263.75 pays quarterly dividends in perpetuity at a rate of return of 5.50%…

A: calculate the end of quarter

Q: For each of the following functions, f(0), find f(1), ​and ​f(5).

A: Follow the procedure given below.

Q: Question For a Function where every one Y-value, X-value would the inverse of be a function as well?…

A: We have to explain that inverse function exist or not

Q: 2. Find the volume of the solid formed by revolving the region bounded by the graphs of y = √x and y…

A:

Q: Evaluate the limit using the Basic Limit Laws and the limits limx→xplq = c/a and limx→ck = k. (Give…

A: The answer is given below:

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A:

Q: Solve the given differential equation. 11x² – 1 11 + 5y y' =

A:

Q: Find all relative extrema and saddle points of the function. Use the Second Partials Test where…

A: Let f(x, y)  be a function of two variables. A pair (a, b) is a critical point of 'f' if either…

Q: Use power series operations to find the Taylor series at x = 0 for the following function. cos²x…

A: Taylor series of function fx at a is defined as:…

Q: Determine the vector and parametric equations of the line through A(6,2,5) and B(9,2,8)

A: Given points , A(6,2,5) B(9,2,8) Therefore a=6i+2j+5k b=9i+2j+8k

Q: Find d79 dx79 (-7 cos (x)). Provide your answer below: 879 dx79 (-7 cos(x)) =

A: The answer is given below:

Q: 2. √ (e²x +e-2x) S 2 dx 1/

A:

Q: Solve the given differential equation. All solutions should be found. (7y6 + 2x³y) dx (6xy³ + xº) dy…

A:

Q: Express your final answer at least three (3)decimal places. The population of a townin…

A:

Q: airplane, flying in a direction 45° north of east and has an airspeed 500 mph. It is jected to a…

A: Please refer to the image below

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

A: This is a problem related to linear approximation of the function. Based on the general formula and…

Q: Find the area of the region inside one leaf of the three-leaved rose r = cos 30. The area of the…

A: We have to find the area of the region inside one leaf of the three-leaved rose.

Q: Determine the solution y2(5) of the differential equation, given that it is satisfied by the…

A:

Q: (a) One lender offers Kim an APR of 6% for a 7-yr term. What would be the amount of Kim's monthly…

A:

Q: 4. Find the area of the surface formed by revolving the graph of f(x) = x² on the interval [0,…

A:

Q: Evaluate 3x e +3 5x e 3 dx

A:

Q: What amount increased by 180% is $32.56? $18.09 $91.17 $12.45 $11.63 $180.89 4

A: what amount increased by 180% is $32.56

Q: Use partial fractions to find 6x²+34x-7 x³+7x² 6x²+34x-7 x³+7x² 6x²+34x-7 x³ +7x² S6x² + 6x²+34x-7…

A: