A. What is the scalar triple product? B. Determine the volume of the parallelepiped defined by the following vectors: a = (1,2,3), b = (-1,1,2),c= (2,1,4) C. How can we use the scalar triple product to determine if vectors are coplanar? D. Use the scalar triple product to determine if the following vectors are coplanar: a = (1,4,7), b (2,1,4), c = (0, -9,18) =

Q: Use a double integral to find the volume of the solid bounded by the cylinders z = x2, y = x2, and…

A: Step 1:Step 2:Step 3: Step 4:

Q: . This item has not been answered. 5 Let F(x) = [* 4 cos(t²) dt. Use the Fundamental Theorem of…

A: Step 1:Evaluate the Definite Integral Step 2: Finding the Derivative F′(x)  Thus, the derivative…

Q: find the value for A and B.

A:

Q: y-values 8 7 6 5 4 3 2 1 g(x) 5+ 4 h(x) y-values 2 Ι 3 1 2 3 4 5 1 2 3 4 5 x-values x-values a If…

A: Given:Two functions, g(x) and h(x), represented by graphs.The composite function f(x)=g(h(x)).We are…

Q: Please help on all asked questions. Please show all work and steps. Please circle the final answer.

A: (a) Parametric Equations of the LineThe vector PQ​ is given by:PQ​=Q−P=(2−3,0−(−1),5−4)=(−1,1,1)This…

Q: Write the integral of a function f(x, y) over the following regions. Do not use a substitution;your…

A:

Q: A ladder 23 feet long leans against a wall and the foot of the ladder is sliding away at a constant…

A: if doubt arises please mention in the comments.

Q: Show all steps. Correct answer are: flow = 14pi/3; flux = 0

A:

Q: Pls help ASAP. Pls show all work and steps.

A: Step 1:Step 2:

Q: need help

A: Step 1:Step 2: Step 3: Step 4:

Q: Please show all steps. Answer is NOT 88.67

A: Given integral: ∬R​7(x+y)dA over the region  R={(x,y)∣4≤x2+y2≤9,x≤0}   Description of the Region R…

Q: Test the series for convergence or divergence.

A: Step 1:The provided series is:∑n=1∞​n!3nn2​It is needed to test the series for convergence or…

Q: We consider a sequence (X)-1 of i.i.d. random variables such that P(X₁ = 1) = P(X₁ = −1) = 1/2.…

A:

Q: Find the general and particular solution. y"+6y' + 10y=22+20x, y(0) = 2, y'(0) = -2

A: Approach to solving the question: Solution for Differential EquationConsider the differential…

Q: find lower and upper limit of theta and r

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: a) Prove algebraically that f: R → R, defined by f(x) = 3x is a 1-1, onto (bijective) map. Note that…

A:

Q: Find parametric equations for the path of a particle that moves along the circle described by x² +…

A: Step 1:Step 2:Step 3:Step 4:

Q: Please help me with these three question. I am having a hard time understanding what to do. Thank…

A: 1) Partial Sum Sequence CalculationsGiven the series:We calculate each partial sum Sn​ as…

Q: Please help on all asked questions. Please show all work and steps. Please circle the final answer.

A:

Q: Find parameterizations for the following objects. (Your parameterizations should, as always,be in…

A: abc  d

Q: 1 1 1 Use the co-factor expansion method to compute the determinant det(A) when A = 0 -2 0 -1 3 -4

A: Step 1:The determinant of A using co-factor expansion is given…

Q: X 0 1 23 4 f(x) 3 2 1-2 3 f'(x) -2 -1 2 4 1 0 540 6 4 W3 0 X 0 1 2 g(x) 13 5 g'(x) 2 3 -2 320 756 4…

A: Step 1: Step 2: Step 3: Step 4:

Q: Show all steps. Correct answer is 37.6991118

A:

Q: 6. In this problem you will use the known power series for e* to evaluate an integral. a. Write (or…

A: Step 1: Step 2: Step 3: Step 4:

Q: Let 4 y = √√x² - 11x+30 x2 dy Find at x = 15. dx dy x=15= dx

A: If you have any help please let me know in comment box thankyou.

Q: Suppose F(t) has the derivative f(t) shown below, and F(0) = 1. Find values for F(2) and F(7) 3 2 1…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: " Do not use AI" "Answer must be hand written"

A: The Trapezoidal Rule is a method for approximating the definite integral of a function. It works by…

Q: Please help on all asked questions. Please show all work and steps. Pls circle the final answer. pls…

A:

Q: Pls help ASAP. Pls show all work and steps.

A: IMAGE :

Q: Find equations of both the tangent lines to the ellipse x² + 9y² = 81 that pass through the point…

A: Solution 2:Assume the equation of the line representing the lamp's shadow is y = k(x + 5), where k…

Q: if and only if z = (x/2)+** Ql show that: cosz-o if and only! Z

A: 4. ConclusionWe have shown that:If cos⁡(z)=0, then z=2π​+kπ, where k∈Z.If z=2π​+kπ, where k∈Z, then…

Q: P1:Solve the following differential equation using laplace transform 2- y₁ = -y 2 y₁₂ = y₁ y₁(0)=1…

A: Q1: System of Differential EquationsGiven:y₁' = -y₂y₂' = y₁y₁(0) = 1y₂(0) = 0Solution:1. Apply…

Q: " Do not use AI" "Answer must be hand written"

A: The function given is f(x)=3x-10 and the interval is from x=2 to x=8.

Q: Using both a first and a second derivative test, find all critical points of the given function and…

A: Step 1: Conduct the first derivative test y=x4−2x2+3 y′=4x3−2(2)xy′=4x3−4xy′=4x(x2−1) 4x=0x=0…

Q: Let y(x) be the solution of the initial value problem У y' = 1 + 1/4 + 5e-4/x X Then y(2) = 2 ln(k)…

A: Detailed explanation: Certainly! Let's go through the solution step by step in more detail, assuming…

Q: Find the derivative of the function. h(x) = √1-x² sin-1(x) h'(x) = Need Help? Read It Submit Answer…

A:

Q: 42.37590 is correct and 42.11205 is incorect.

A:

Q: Don't use any AI tool show ur answer in pen and paper then take pictures and send

A:

Q: pls help asap. pls draw the actual graph kindly as well as show all details and steps and work.

A:

Q: Solve the differential equation. dy 6x2y2 dx

A: If you have any help please let me know in comment box thankyou.

Q: 1. In this problem you will use Newton's Method twice to approximate the x-intercept (i.e. find 2)…

A: Newton's Method is an iterative process that uses the tangent line of a function at a given point to…

Q: Suppose that f(x, y) = √√25 — x² - y² at which {(x, y) | x² + y² ≤ 25}. - +r=5 Then the double…

A: Solution StepsStep 1: Converting to Polar CoordinatesIn polar coordinates, we know that:x2+y2=r2For…

Q: S(6x+7)dx. Find (6

A:

Q: Use series to evaluate the limit. lim sin(2x) - 2x + .5 4 + 3

A: Step 1:To evaluate the limit using series, we will use the Taylor series expansion of sin(2x) and…

Q: can enter this new form of the function and aws of Logarithms to expand the expression. 20. log3(5y)…

A: Using the property of logarithms, log_b(mn) = log_b(m) + log_b(n), we can expand log base 3 of (5y)…

Q: Suppose that f(x, y) = 2x + 2y and the region D is given by {(x, y) | −4 ≤ x ≤ 1, −4 ≤ y ≤ 1}. D…

A: Step 1: The given integration is  ∬D​f(x,y)dxdy=∫−41​∫−41​(2x+2y)dxdy  Step 2: Integrate with…

Q: Please help on all asked questions. Please show all work and steps. Please circle the final answer.

A: 1:  2:

Q: Help explain step by step

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: answer it

A: 1.To find dxdy​ for the curve given by the equation:5x2+29xy+15y2=24We can use implicit…

Q: Parameterize the following objects:(a) The parallelogram with corners at (0, 0, 0), (0, 1, 1), (2,…

A: