31. Determine the point of the plane T: 15x - 3y + 2z + 6 = 0 intersection of the line [x, y, z] = [2, 2, 7] + t[2, −1, −4] and

Q: dx dt Please give an exact answer. If z² = x³ + y², = dt 1, dy dt Provide your answer below: = -1,…

A: The objective of the question is evaluate the derivative of the given function at given point.

Q: The length of the curve r = sin² for the period 0 ≤ 0 ≤ π is 6 O 2 8 O 4 O None of them O

A:

Q: Y=(3x+4)² find dy/dx

A: Y=(3x+4)² find dy/dx

Q: Test the series below for convergence using the Root Test. Σ(13) 3n+ 5 The limit of the root test…

A:

Q: Evaluate the following integral: f²f₂f²x+yz dxdydz 24

A: Due to some technical inconvenience I cannot type this answer in Math type I am providing you the…

Q: If the volume of the parallelepiped determined by the vectors A = i + ak, B = 8i - 5j + ak and C =…

A:

Q: 10 نقاط * Find the Laplace Transform Q3\ to the following function L sin2t cos3t

A:

Q: Let D be the portion of z = 2x + 5y inside x² + y² = 1, oriented up, and let F = (3, 2, -2). Compute…

A:

Q: 6. Show whether the series is convergent or divergent. Σ in! n=0

A:

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A: Concept: When the two vectors are in the same direction the value  λ is positive When the two…

Q: Using Linear Coefficients of Two Variables, solve: (2x - 5y + 3)dx - (2x + 4y - 6)dy = 0

A:

Q: An economy depends on two basic​ products, wheat and oil. To produce 1 metric ton of wheat requires…

A: Given that : An economy depends on two basic​ products, wheat and oil. To produce 1 metric ton of…

Q: A company selling baseball gloves has fixed costs of ​$1300​, and it costs an additional ​$22.71 to…

A:

Q: Evaluate (fog)(x) and write the domain in interval notation. Write the answer in the intervals as an…

A:

Q: Find the area of the surface obtained by rotating the curve about the x-axis. Select the correct…

A:

Q: Estimate the area under the graph of f(x)=x^2+4x from x=1 to x=5using 4 approximating rectangles and…

A:

Q: The length of the curve r = sin² for the period 0 ≤ 0 ≤ π is 8 O 6 None of them O 2 O 4 O

A:

Q: Let a = ( − 4, 4, − 3) and b = (0, 2, 1). Find the angle between the vector (in radians)

A:

Q: The marginal cost for a company to produce q items is given by MC(q)=0.004q^2−0.9q+625. The​…

A:

Q: Find dy for y=5x^3+ 7*square root(7x)

A:

Q: Determine if the differential equation y'=x4y - 9x5y is separable, and if so, separate it. dy Yes,…

A: Take y common from RHS

Q: The solution of Yh = e²x (c₁ cos x + C₂ sin x) homogeneous part (yh) of the equation y" - 2y' + 5y =…

A: Let's solve.

Q: Q3\ Find the Laplace Transform to the following function L sin2t cos3t

A: Using Laplace transform

Q: Q3\ Find the Laplace Transform to the following function L sin2t cos3t

A:

Q: Given the series: 1 1+ + + 9 27 does this series converge or diverge? diverges converges 00 If the…

A:

Q: Test the series below for convergence using the Ratio Test. n+ 3 3n+3 n=1 The limit of the ratio…

A:

Q: Express (3*) dx as the limit of a sum. 1

A:

Q: 3+2=?

A: What is the value of 3+2

Q: S In (x) √xln(x)-x -X dx

A: ∫ln(x)xln(x)-xdx

Q: If z=x+iy where x and y are real, find the real and imaginary parts of:- 1 x² - y² (x² + y²)² X x² +…

A: The number is 1z2 where z=x+iy

Q: The integrating factor for the differential equation (xy³)dx + (x²y² + 1)dy = 0 is

A:

Q: Find the total area of the shaded region shown to the right given by the curve y = 2( sin x)√1+…

A: We can solve this as follows:

Q: Use the Midpoint Rule with = 4 to approximate 0 tan x dx.

A:

Q: Find the total area of the shaded regions. (-3,36) -6 ₂ Ау 40 32- 24- 16- 8- -8- y=4x (3,36) y=x 5x…

A:

Q: F(x)=5cos(3x) on [-pi, pi] What intervals is f increasing and decreasing?

A: F(x)=5cos(3x) on [-pi, pi] What intervals is f increasing and decreasing?

Q: Perform a first derivative test on the function f(x) = 2x³ + 3x² - 36x +4; [-3,5]. a. Locate the…

A: To find out the critical points, maximum and minimum and absolute maximum and minimum.

Q: S In (x) √xln(x)-x dx

A:

Q: The area enclosed by one petal of the polar curve r = cos20 is False 718 True O

A:

Q: Solve: y" + 4y = x² + ex Yc=C1+C2. Type the letter corresponding to your answer. QUESTION 1 Yp = A +…

A: Please see the below picture for detailed solution.

Q: Hos solv the step? 0.10.9062cos (1-√√/3x) d x [sin (1. (3x) 3 sin (1-√√3a) - sin (1-√3(-0.1)) sin…

A: To find the given step how to came from the above step

Q: The particular solution (yp) of the equation y" − 3y' + 2y = 5 e* is yp = -5xex False True

A: Explanation of the answer is as follows

Q: fx x tan x dx

A: We can find the integration using integration by parts as below.

Q: If [ f(x) dx = 18, then √ (f(x) + 4) da is equal to: A B с D 20 22 25 30

A: Evaluating the given definite integral

Q: 21 The function f(x) is represented in the following table. Give the best estimate for f f(x)dx 3…

A:

Q: ODE. Find the general solution of the following. Show complete solution v/x 3. (x + ye )dx-xe dy = 0…

A: Identify the differential equation and solve it

Q: The geometric representation of the equation is a circle in R3. Select one: O True O False -3x²-3y²…

A: Given: -3x2-3y2=-18

Q: The graph off-1 is given below. Graph the tangent line to f-1 at the point P(1, 1) for f(x) = -x³ +…

A:

Q: The Maclaurin series of the function f(x) = 8x² sin(8x) can be written as f(x) = Σ" 72=0 where a few…

A: Solution is given below:

Q: e ra

A: topic:- application of derivatives

Q: 6. Which substitution can work to compute for the indefinite integral fx√√x + 5dx? A. u=x C. u=x+5…

A: we use substitution method to  find the value of integral