Find a plane containing the point (5,-2,8) and the line of intersection of the planes 7x+6y-z = 27 and 7x 8y + 2z = 47

Q: 4. Evaluate √xe-²x² d

A: ∫xe-2x2dx

Q: 5 430 X 32°

A:

Q: 2^32cos2x is not a correct solution for the equation submitted

A: We will find first few derivative directly and then use that pattern to find solution.

Q: -3- -4 1 V 3 4 5 The graph above shows the base of an object. Compute the exact value of the volume…

A:

Q: Section 4.3 #48 Determine the value of the logarithm without using a calculator loga =>

A: Given,

Q: Find the volume of the solid whose base is bounded by the circle ² +² -9 (a circle of radius 3,…

A: To find volume of solid whose base is bounded by the circle x2+y2=9,whenthe cross-sections…

Q: a⃗ =⟨2, −3⟩ and b⃗ =⟨1,4⟩​. Represent a⃗ +b⃗ by using the parallelogram method. Use the Vector…

A: vec a = < 2, - 3 > vec b = <1, 4 > to evaluate and draw  vec a + vec b by parallelogram…

Q: Evaluate the given definite integral. 6 x√x-6 dx

A:

Q: Use the chain rule to find the indicated partial derivatives. u = xety, x = a²B, y = B²y, t = Y²a ди…

A:

Q: 6. Suppose that a. 6 b. 2 a b - 3c = 0 → → and a c= 2. What is a C. -6 d. -2 → b equal to?

A:

Q: Given one form a line, match it with its equivalent equation in another form. [x, y, z] [3, 2, 1] +…

A: a. x,y,z=3,2,1+t1,2,3b. x,y,z=-1,0,1+t0,1,0c. x,y,z=1,2,3+t3,2,1d. x=0y=1z=te.x=-ty=1z=1+t

Q: 40. S™ cos t e sin 2t dt

A: NOTE: Refresh your page if you can't see any equations. . ..................(1) substitute…

Q: A line has slope -3 and y-intercept 5. Find a vector equation of the line. OA) [x, y] = [5, 0] +…

A: A  line has slope -3 and y-intercept 5. To find the vector equation of the line.

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A:

Q: What is the compound interest if $110,000 is invested for 6 years at 8% compounded continuously. If…

A:

Q: В (9,-8)

A: We know that the vector= Terminal point -initial point

Q: Consider the following. ) = \, P(7, 1), u = i + j y 5 (a) Find the gradient of f. f(x, y) Vf(x, y) =…

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Q: A data-recording thermometer recorded the soil temperature in a field every 2 hours from noon to…

A: We need to find average temperature.

Q: Solve for the unknown quantities, if possible, in Exer- cises 5-16. 5. (1, 2) + (0, y) = (1, 3)

A: Note:- Since you asked multiple questions, according to our policy we can solve only first question…

Q: Let f(x, y, z) = 3x6y + 2xy + 4yz7. Find the requested iterated partials. (Use symbolic notation and…

A: f(x,y,z)=3x6y+2xy4+4yz7

Q: Evaluate the integral. If the integral converges, determine the number it converges to. If the…

A:

Q: One side of a triangle is increasing at a rate of 9 cm/s and a second side is decreasing at a rate…

A: One side of a triangle is increasing at a rate of 9 cm/s and a second side is  decreasing at a rate…

Q: 1 cotx ln sinx|dx x In [ x Ja 2 1 2

A: To find, ∫ cotx2lnsinx2dx Let I=∫ cotx2lnsinx2dx We know that cot(x2) = cos(x2)sin(x2). Therefore…

Q: Find the Laplace tranform of the ff: e3xsin4x

A:

Q: Find the area of the specified region. Inside the limacon r- 8+4 sin @ O 72m+ 64 O None of the other…

A: To find the area inside the limacon r=8+4sinθ Graph

Q: 3 Given that y = ³x solves -2xy"+(6x+2)y-6y=0, find the second solution of the above differential…

A: -2xy''+6x+2y'-6y=0

Q: A line has y-intercept 11 and z-intercept –13. Find a vector equation of the line. O A) [x, y, z] =…

A: The line has y-intercept 11 and z-intercept -13. So the line passes through points A(0,11,0) and…

Q: 11. Use a table to find the Taylor polynomial P3 (x) for f(x) A. B. P3 (x) = Use the series to…

A:

Q: Solve the following differential equation y"+y' = sec(x).

A: We have,     y'' + y'  = sec (x)

Q: 4. Evaluate the integral: 1 (x³ + 1)³6x² dx S= Type U U'

A:

Q: A CD has diameter of 130 millimeters. When playing audio, the angular speed varies to keep the…

A:

Q: The demand x for a good is related to its price p via the function: At what quantity will total…

A: Solving the problem

Q: he graph of f(x) = ax² +bx+c where a, b, and c are constants, passes through the (0,1) and is…

A:

Q: n f(x) = 7sin x-3?

A:

Q: 10. for fx fx xy f₂ y f(x,y)=3x³y² + 4(3x+2y)³ find

A: The given function is;  f(x,y)=3x3y2+4(3x+2y)5 Find the fx, fxy, fy, fyx.

Q: Multiply and simplify completely: √12x³y¹5. √√6x²y-7 Your answer will be in the form A√B, where A…

A: We need to multiply and simplify the given expression.

Q: The expression √√64x² equals næ” where n, the leading coefficient, is: and r, the exponent of a, is:

A: Given Expression 64x23

Q: Find the volume of the solid generated by revolving the region R bounded by the graphs of the given…

A:

Q: Sx.cos5(x²)dx

A:

Q: 9. A = (2, a 3) and B = (-1,-2) are - perpendicular each other, a=?

A:

Q: Evaluate 8 5 3 √√3x+1 - dx

A:

Q: 38. f(x) ex 1 + ex

A:

Q: Consider a right triangle with a side of length opposite angle A, a side of length y opposite angle…

A: Given: Consider a right triangle with a side of length x opposite angle A, a sideof length y…

Q: 7. A lidless large steel fuel tank is cylindrical in shape. To optimize storage in the truck, the…

A: A lidless large steel fuel tank is cylindrical. To optimize the truck, the total volume of the…

Q: Solve = (x²+6)(y-7), y(0) = 2. dy dx

A:

Q: Find the slope of the curve ab²e-b²=5a-16 at the point (a,b) = (0,4) da ㅇ1 11 렇 O None of the above

A: ab2eab-b2=5a-16

Q: represents a vector going 5 km/h N20°E. What is a. 5 km/h S20°E b. 1 km/h S20°W A ? 1 km/h W20°S d.…

A: A→ represents a vector going 5km/h N20°E

Q: Evaluate the integral. (Use C for the constant of integration.) [7t sin 7t sin²(t) dt

A: Explanation:-

Q: Use implicit differentiation to find дz дх дz ду || || 9yz + x In(y) = 22 z2 X дz дх and дz ду

A: By using the implicit differentiation to find ∂z∂x and ∂z∂y. 9yz+x lny=z2

Q: Consider the function: f(x,y)=3xye 8x²-8xy + y²

A: We know that, a function f(x,y) has stationary points at that points where, the partial derivatives…