3. Determine the intersection (if any) of the following planes. Show your work clearly ₁: 2x + 3y z = 5 1₂: 6x - 4y + 2z = 3 : 2x 10y + 4z = -7

Q: Exercises In Exercises 1-8, find a point c satisfying the conclusion of the MVT for the given…

A: As we know from the Mean value theorem: If the function fx is real-valued function is defined on a,b…

Q: After a large number of drinks, a person has a blood alcohol level of 160 mg/dL (milligrams per…

A: Solving the following problem

Q: where Compute Ja S = {(x, y, z) = R³ x² + y² + z² = 4, z ≥ 0} (.x²₂ ²z+y²z)ds,

A:

Q: Fill in the missing values such that the final term is pulled out of the summation. Ex: 5 15 Σ; = Σ…

A:

Q: 58. y = x³ - 24 ln x, [2,3]

A:

Q: Evaluate each of the following indefinite integrals.  ∫e2xsin3xdx

A: Answer is in step 2.

Q: Problem 6. Evaluate the volume of the solid region above the paraboloid z = x² + y² and below the…

A:

Q: Express the given parametric equations of a line using bracket notation and also using i, j, k…

A:

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 4x³ - 6x² -…

A: Given that  f(x) = 4x3 -6x2 -144x +3. ; [-4,5]  We find absolute minimum and maximum value.…

Q: Evaluate the following integral. 2²-1 -dx

A:

Q: Find g[f(-2)]. f(x)=x² +4; g(x)=4x-1 g[f(-2)] = (Simplify your answer.)

A: Given: f(x)=x2+4; g(x)=4x-1

Q: 1 (Q5.) If y = is a one-parameter family of solutions of the first-order DE (1+c₁e-2) y = y-y². Find…

A:

Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m^3/min.…

A:

Q: Volume of a Cube The volume V of a cube with sides of length x in. is changing with respect to time.…

A:

Q: Find the area of the shaded region. y = 0 2 square units y 2 -2 y=x√√4-x² y = 0 2 X i

A: We need to find out the area of the shaded region.

Q: A car dealership advertises a 10% discount on all its new cars. In addition, the manufacturer offers…

A: Given function f( x ) = 0.9x g( x ) = x - 1750

Q: What is the smallest counting number that has factors of 2,3,4,10,12, and 18 ? Explain/show how you…

A: Given Factors  2,3,4,10,12, and 18      L.C.M of these numbers gives the required number

Q: (9) (a) Find the equation of the tangent plane P to the paraboloid z = = x² + y² at (1, 2,5). (b)…

A:

Q: Hi can you please be more descriptive with your answer?  Half of the answer that you provided is cut…

A: Given integral:- ∫02π∫04∫0z4r4drdzdθ

Q: 20. The points P₁ (1, 1, 1), P₂ (1, 2, 3) and P3 (2, 2, 4) are on a plane. (a) Give the explicit…

A:

Q: Compute if dx Y = (ex² +7³) cosh5 (ln x) F (π + e)e²+ cot-¹(5x²)

A:

Q: Consider the function ₁ (t) = t6 and suppose the Wronskian of x₁ (t) and some unknown function 2 (t)…

A: NOTE: Refresh your page if you can't see any equations. . here the first function is  the second…

Q: Find the absolute minimum and absolute maximum values of f on the given interval. Hint: You will…

A: Given function:-   ft=4cost+2sin2t

Q: n k=1 (3 + 2k)² = Hint: Start by multiplying out (3 + 2k)². fra

A:

Q: Use the laws of logarithms to expand and simplify the expression. ln (e^x/(1 + e^x))

A:

Q: The approximating curve shown on the figure is given by I(t) = −0.04t3 + 0.4t2 + 0.1t + 202    (0 ≤…

A:

Q: Q4.4 If w(s) = (s² - √s) (s - s²), then w' (1) 01 00 0-1 O-3/2 None of the above. =

A: We need to find the derivative of the function at indicated value.

Q: Consider the function f(x) = 4x³ - 3x on the interval [-5, 5]. A) Find the average or mean slope of…

A:

Q: Determine, without solving the equation, the interval where the solution is guaranteed to exist for…

A: NOTE: Refresh your page if you can't see any equations. . the given DE is  divide both sides by

Q: Approximate the sum of the series correct to four decimal places. (-1)^ 4^n! S≈ 00 n = 1

A:

Q: 9. Given: z = 4x²y³ - 2x³ + 7y² find a. 6x²y² c. 18xy d. 24xy² b. 12x²y 10. A closed rectangular box…

A:

Q: Find the values of c which satisfy the conclusion of the Mean Value Theorem on the given interval,…

A:

Q: Determine which law applies. Then solve the triangle a = 3.7, b = 2.2, c = 2.5

A:

Q: Find the distance between the skew lines: x=6+6t, y=4+7t, x = 5-t, y = 8, NOTE: Enter the exact…

A:

Q: In 58, find the critical points and the intervals on which the function is increasing or decreasing.…

A:

Q: Let F(1) = ƒ(ƒ(1)) and G(1) = (F(1))². You also know that ƒ(9) = 7, ƒ(7) = 3, f'(7) = 9, f'(9) = 9…

A:

Q: The function f(x) is approximated near x = 3 by the second-degree Taylor polynomial T₂(x) =…

A:

Q: Suppose that f(x, y) = 2x + 2y on the domain D = {(x, y) | 1 ≤ x ≤ 2, x² ≤ y ≤ 4}. Then the double…

A: Suppose that fx, y=2x+2y on the domain D=x, y 1≤x≤2, x2≤y≤4 Then to evaluate the double integral…

Q: Use this data to sketch a smooth curve relating the two variables. 2) Draw rectangles on the graph…

A:

Q: Q4.5 If f(x)= e2x O e²x - √xe² e4x 1 4e²√√x 4√xе²x then f'(x) = x 1/2e2x -x 2e4x O 1 - 4x 2e2x √√√x…

A: Need to find out the derivative of the given function.

Q: A particle moving in a straight line with a velocity (in m/sec) given by v (t) = t²2t-3. Determine…

A: Given velocity function v( t ) = t2 - 2t - 3

Q: sketch graph of y=e^x/x^2-9 showing any asymtotes and any local maxima or minima

A:

Q: 7x If h(x) = (1 + 4) ¹*, find lim h(x). X→∞

A:

Q: Here is a theorem: 1+2+3+...+n= Use it to evaluate: 2 + 4 + 6 + ··· + 2n = Let j be even. Evaluate…

A:

Q: If f(x) = (1 + 3), find lim f(x). 6x 0-x

A:

Q: 1) Verify that the function z = ln(e + e") is a solution of the partial differential quation 8²z8z…

A:

Q: 9. The Riesenrad, or Great Wheel, was a ferris wheel build in Vienna, Austria in 1897. The diameter…

A:

Q: Solve the given equation.. dx + (x/y-siny)dy = 0 a. d. xy² + ycosy-siny=C b. xy + xcosy-ysiny = C e.…

A:

Q: 41. y = x - 4x x +1' [0, 3]

A: Here is the solution:

Q: 2. Determine à b, if |a| = 5 and || = 6.

A: concept dot product formula a→.b→ = | a || b |cosθθ = angle between a and b