the normal line of the surface [z = (4x^2 + y^2] at the point (1,1,5) O 8x-2y+z=5 O 8x+2y+z=5 8x+2y-z=5 O 8x-2y-z=5

Q: 1. I. -5 3 Evaluate each determinant. -3 -4

A:

Q: Evaluate the double integral: y SLAZ+1 y²/3 x + 1 (Hint: Change the order of integration to dy dr.)…

A:

Q: The value of sin cos (x²+)+C C. cos (x²+)+C xp B. -cos (x²+)+C D. -cos (x²+)+C

A: Topic = Integration Correct option = B

Q: / If y" + 2y' F5y = e-Sint, y(0) = 0, y' (0) = 1

A: We solve the given differential equation using the higher order LDE techniques.

Q: B) Solve the equation (x+y-1)³ dx+4(x-2) dy=0.

A: Solution

Q: Let R be the region enclosed by the polar curve r (0) = 2 - 2 sin(0), as shown in the graph. y 1 1 R…

A:

Q: X 0 1 23 4 5 6 f(x) 4 -202 1 -4 11 3 -3 1 74-2 f'(x) 6 g(x) 3 15-2 1 10 g'(x) −1 −5 23 4 -1 6 a) !…

A:

Q: Ixe xex/3 dx

A:

Q: Evaluate the following 3 3 x4 + 2x³ + 3 X² + x + 1 x4+x² 2

A: We have to evaluate the integral.

Q: Given the graph of f(x) below. Determine the average rate of change of f(x) from x = -5 to x = -3.…

A: We need to find average rate of change.

Q: 1) A pump is used to fill an inflatable mattress at a constant rate of 0.25 cubic feet per second.…

A: As per bartleby guidelines we only give first question answers.

Q: Solve the following system by Gauss-Jordan elimination. 2x1 + 7x2 + 33x3 = 29 6x122x2 + 105x3 = 91…

A:

Q: Consider the following quadratic function. g(x)=3x² - 6x-4 (a) Write the equation in the form g(x) =…

A: This question can be solved using the concept of general equation of parabola.

Q: Given a second order differential equation dx 3t 2x = e³t dt where t = 0, x = -5. Using Laplace…

A:

Q: Solve the given differential equation. All solutions should be found. dy 3x²-8y- y³ 8x + 3xy² dx…

A:

Q: Let F(x,y)=ln(x² + y2), then answer the following (1) Find the function's domain (2) Find the…

A: This question is about finding domain & range of a logarithm function.  Which we can find as

Q: The value of | Je A. -sin-¹ (ex) + C C. sin-¹ (e) + C dx 2x B.-sin-1 (e-2x) + C D. sin-¹ (e-2x) + C

A:

Q: answer

A: We will solve the problem.

Q: e for (2x + 1) cos(x) dx. 14. Use integration by parts to evaluate

A:

Q: 6. 8 2 2 dv 2 v - v V

A:

Q: Let R be the region that is inside the polar curve r = 3 and outside the polar curve r = 2 + sin(0),…

A:

Q: 2. Evaluate the Integrals using the Fundamental Theorem of Calculus. 1. S/4 cos x dx π/4 2. ¹₁ sec²…

A: First I have written the Fundamental theorem of Calculus, using it for given integral and find its…

Q: S f(x) dx = [ -6 -5 f -2 Y 7 3 -3 7 X

A: This above given expression of integral is shows integral value of function f(x) from x=3 to x=7.

Q: Find the volume of the region bounded above by the elliptical paraboloid z=8-3x²-4y² and below by…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: The given curves are y=x3 and y=x.   Now find the point of intersection between the given curves.…

Q: Use Cartesian coordinates to evaluate JJJ² dV D where D is the tetrahedron in the first octant…

A: Given integration is evaluated.

Q: 1. Find the Inverse Laplace Transforms of the following. 4) 48-60√s s4

A: A detailed solution is given below.

Q: Give 1 problem of partial differentiation of function of U with respect to 3 independent variables…

A:

Q: (b) (cos(x) (2x + 3))'

A:

Q: Evaluate sin (x) e-x dx by use Simpson's rule. h= 0.5

A: This is a problem related to integration part of the mathematics. Based on the general formula and…

Q: 3 So So t : t² etu du dt

A:

Q: Let f : R 7−→ R be defined by f(x) = 2 − 5x. Show that f is bijective, and find f^(−1)(x).

A: Let f:R→R be defined by f(x) = 2 - 5x.

Q: Given m = 6, n = 1, and v = ⟨–4, 7⟩, what is v(n –m)? Show your work for full credit.

A:

Q: cln 3 In In 2 tanh xsech’x_dx

A:

Q: Find the volume of the solid obtained by rotating about the x-axis the region bounded by the curve y…

A: The volume (V) of a solid generated by rotating the region bounded by y=f(x) and the x‐axis on the…

Q: Q5 A) Calculate the gradient of f(x, y) = √√x² + y²

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: Q4/Find the slope of the line 3x-4y=-8 and then find the distance from the point P(3,-2) to this…

A: Given Equation of line3x-4y=-8To find slope & Distance.

Q: (5) If f(x) =........, then f(x) is reducible in Z5 [x]. (i) x³ + 2x² + 2x + 1 (ii) x² + 1 (iii) x²…

A:

Q: Function f is graphed. -4 -3 -2 A Y 4 3 2 t 1 1 4 2 3 -1+ -2- -3- -4 Find f (2) da. Give an exact…

A: We can find the given integral by using the application of the integral.

Q: Find an equation of the tangent line to the curve at the given point. y = 2x3 – x2 + 4, (2,16) y =

A:

Q: Evaluate the double integral: 2 So de dy. Sola 0 Jy¹/3 Y x7 +1 (Hint: Change the order of…

A: Application of integration

Q: Evaluate the double integral: 2 JI ਸਰੰਜਨ y²) DA R where R is the unbounded region between 0 ≤ 0 ≤ 2π…

A: Let's evaluate double integral by converting into polar coordinates.

Q: Evaluate the integral by making the given substitution. (Remember to use absolute values where…

A:

Q: For each of the following ,find fx fy fxx fy fyx and fxy f(x, y) = x cos+ ye*. 2.f(x,y) = y²x¹e². 3.…

A:

Q: π ← r = 2 sin(0) ㅠ 1 → 0 2 r = 2 cos (0) π Determine the exact length of the perimeter of the region…

A:

Q: 7) A can of soda with a temperature of 56 degrees Fahrenheit is placed in a refrigerator which is…

A: Given that, A can of soda with a temperature of 56 degrees Fahrenheit is placed in a refrigerator…

Q: • show that Ф (x, y, z) = 8²4 PDE: агф + дуг дуг х2 +у2 + Z2 8²4 872 satisfies the

A: First we find the respective partial derivative then add them to get value 0. see below the…

Q: 1) (hu) 07h =hx solve d ШF СП

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Let a, b ∈ R. a) Find the determinant of  a 2  b -2 1 2 4 -2 -1   b) Suppose u, v, and w are…

A: Concept: Determinant of the matrix: The determinant of the matrix is the expansion of the matrix…

Q: 2. Solve each of the following integrals using integration by part: a) [3x² In 2x dx b) 5x sin 3x dx

A: