dy cos (x) cos (Y) %3D da O a. 2 In sec (3) +tan (3)| = %3D O b. 4 In sec (3)) + tan (y) %3D

Q: Suppose that f(z, y) = z*y°. The directional derivative of f(1, y) in the directional ( – 1, – 2)…

A: We can solve this as follows:

Q: dx ²+8x-9

A: Given: ∫dxx2+8x−9 Let I = ∫dxx2+8x−9 ⇒I = ∫dxx2+9x-x−9

Q: Find div F and curl F if F(x, y, z) = 17y*z*i – 3x'2ºj – 3ry®k. div F= curl F=

A: Let's find.

Q: 4. S(9x + 33x +22) dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1-a limz→1 =? O -2 O 1 O Does not exist

A: find limit

Q: 6. What is the general solution of the following differential a²y.cdy d²y equation -52…

A: We need to find general solution.

Q: A. Use polar coordinates to describe the region shown. 1.

A:

Q: Let v=f(x) be a solution of the first order linear differential equation y'=y-10x² such that f(0)…

A:

Q: 2 ー (4-x²) dx -2

A:

Q: (8x + 4x)v4x² + 8 – 24x³ – 32x If f(x) = (/4x2 + 8 - x*) then f'(x) = 4r2 +8

A: f(x) = (4x2 +8 - x2 )2 f'(x) = (24x2 +8 - 2x2)(8x/(24x2 +8)  -2x ) f'(x) = ((24x2 +8 - 2x2)(4x -…

Q: Find r'(t). r(t) = (tan(10t))i+t cos(t)j – VEk NOTE: Enter your answer in terms of i, j, and k.…

A: Given problem :- r(t) =(tan-1(10t)) i+t cos(t) j-√tk Find:- r'(t)

Q: Let A + 0 and ACB. Show that NB CNA.

A: Given :A≠∅A ⊆ B

Q: Question 3 Suppose C=0, so that 2y 24y 5x3 = 0. Find all points (x,y) at which the tangent line to…

A:

Q: Consider the following. 3x - y + z = 6 Sketch a graph of the plane.. y -6 y -4 2 y 4. 2 2. Label any…

A: Given :3x-y+z=6To find it's intercept

Q: COSX sin x dx 4. S 1-ఆశి అరికి న

A:

Q: 1. Let -7 3 -3 2 C = 4 A = B = -3 -3 Determine which (if any) of the following matrices are well…

A: The solution is given in the nwxt step.

Q: A blimp, suspended in the air at a height of 400 feet, lies directly over a line from a sports…

A:

Q: Calculate the power series solution of the differential equation of y'- y= e* up to the five terms.…

A:

Q: Given the equation z + 10z°y – 8y² + z* = 4 az Use implicit differentiation to find dz

A:

Q: dz Find given: dt z = ze", z = t°, y = 1+ 4t dz dt Your answer should only involve the variable t

A:

Q: Find both first partial derivatives. Z = cos(4xy) %3D Oz %3D ду

A:

Q: Evaluate the area of the region bounded by y2 = x and y2 = 6−x.

A: To find : Area between y2=x and y2=6-x First let's find the intersection points x=6-x⇒x=3 Therefore,…

Q: Evaluate the definite integral. ellt i+ej+t k)dt O ell – 1 (e – 1) + (ell – 1) i – (e-l – 1) j + k…

A:

Q: xdx 41. 12-х

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 15 of 20 -722 –8x =? limz→00 3–72²+6x+6 O Does not exist O 00 O 7

A:

Q: Use the given function value and the trigonometric identities to find the exact value of each…

A:

Q: Find div F and curl F if F(x, y; z) = x°i – 7j+yzk. div F= curl F=

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: To find the domain for given vectorr(t)=cosπti-lntj+t-2kand also to find rt0, t0=3

Q: B. Find the area bounded by the curves, the axis and the given values of y. Sketch the graph. 3. x-…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: Find f, and fy! and evaluate each at the given point. xy f(x, y) = (7, –7) X - y fy(x, y) %D f,(7,…

A:

Q: X+3 24) Find the integration by using: J: dx 2x3-8X

A:

Q: Evaluate the definite integral. i +e´j+tk )dt O e 7 – 1 e17 - (e-' – 1) + - (e~) - 1) j + k 17 O el7…

A:

Q: roduct directly and then by applying the formulas dr dr r(t) and dt dr, dr x ). dt Fi(t) - cos(t)i +…

A: To differentiate.

Q: Find r'(t). r(t) = (tan¬(11t))i+t cos(t)j – vtk NOTE: Enter your answer in terms of i, j, and k.…

A: Here, the given vector function is: r(t)=(tan-1(11t))i+tcos(t)j-tk

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: - cos (3.xz) = 5 defines z as a function of x and y. Differentiate implicitly to Assuming y az find…

A:

Q: e cosx sin x dx 1-e2 cosx

A: Given problem:-

Q: Use the formula r(t) = |r(t) × r"(t)|l| ||r(t)||³ to find k(t). %3D r(t) = t’i + t3j K(t)

A: r(t)=t^2i+t^(13)j r'(t)=d(t^2i+t^(13)j)dt=2ti+13t^12j r''(t)=d(r'(t))dt=2(1)i+13×(12t^11)j…

Q: 7. Į V1- xdx 8. ſ e2x dx

A:

Q: 2. S CoSx+sinx-1

A:

Q: e product (4 8 10 9)(2 7 6 11)(1 35 12)

A:

Q: x² Consider the function f(x) = x² –1 (a) Find the intercepts of the graph of f (if any). (b) Find…

A: This is a problem related to function calculation. Based on the general formula and concept we will…

Q: 1 5. Let f(x, y) = x² 6y3 - In y ), for y > 0. af of f &²ƒ Əx' dy' Əx²' dy²' Determine the partial…

A: Given: fx,y=x216y3-lny   As we know that; The Power law: ddxxn=nxn-1 And ddxlnx=1x

Q: Suppose that f(r, y) ry. The directional derivative of f(x, y) in the directional (1, - 1) and at…

A: directional derivative f(x,y) = adf/dx +bdf/dy (a,b) = (1,-1) df/dx = y df/dy = x directional…

Q: Determine if the following function is continuous or discontinuous at x = 0? 4z +5 f(2) = %3D 9- 32

A:

Q: 4–9x² -dx

A:

Q: 1. For the autonomous differential equation = y(4 – y²) find the equi- librium solutions and…

A:

Q: Give the symmetric equations of the line l perpendicular to the plane T : 5x – 2y = z+4 and passing…

A:

Q: Q2) Find the integral of: f*,6 tan*x dx

A:

Q: Cives とz f(xy)= J36-9メ-す i) Find domajn and Ram ge Foy the fuclien

A: