A function f and a point P are given. Let 0 correspond to the direction of the directional derivative. f(x,y) = 16-2x²-3y², P(-3,2)

Q: A polynomial f(x) has the given zeros of 6. -1, and -3. Part A: Using the Factor Theorem, determine…

A: we have to find the polynomial whose zeros are 6 ,-1,-3.

Q: You may use your calculator. A particle is moving with velocity v(t) = t2-9t + 1 seconds inclusive.…

A:

Q: A particle is moving with velocity v(t) = t2-9t + 18 with distance, s measured in meters, left or…

A: The objective is to find instantaneous velocity and speed at time t=5sec.

Q: dx It see ax a) x + 1 (cot ax- csc ax) + c 6) x + 1 ( cot ax + μc ax) + c c) x + £ (cut ax + cac ax)…

A:

Q: A company can produce LCD digital alarm clocks at a cost of $6 each while fixed costs are $50.…

A:

Q: Q5) Find dw/dt at the given value foe the following functions 1) w = x² + y², x = cost, y = sint at…

A:

Q: Q2) find the absolut maximum values and minimum value of the function f(x, y) = x² - 2xy + 4y on the…

A:

Q: For the following flux rules, determine regions of the real line where u is instantaneously…

A:

Q: 16. A cup like object is made by rotating the area between y = 2x² and y = x+1 with x> 0 around the…

A:

Q: Consider a hemispherical tank that is completely filled with water. The water exits the tank from…

A:

Q: Initially 100 milligrams of a radioactive substance was present. After 4 hours the mass had…

A: This question is based on application of diffrential equation.

Q: Let y = f(x), where f(x) = 5x² + 5. Find the differential of the function. dy = X

A:

Q: L² -4 JO 16-x² 16-x²-y² 0 1 dz dy dx

A:

Q: Solve the given differential equation by finding, as in Example 4 from Section 2.4, an appropriate…

A:

Q: Lesson Performance Task At an amusement park, a person spends $30 on admission and food, and then…

A:

Q: 3 3 x³ - y³ z = f(x, y) = x² + xy + y² 0 for for (x, y) = (0,0) (x, y) = (0,0)

A:

Q: Determine whether the differential equation - (2x² − 2xy + 5) dx + (8y² − x² + 2) dy = 0 is exact.…

A: The given differential equation is;  (2x2-2xy+5)dx+(8y2-x2+2)dy=0.

Q: 2.) Determine whether the geometric series is convergent or divergent. If it is convergent, find its…

A:

Q: Q2: Find y(2) if D.E as give dy 2+3y=sin 2x, y(0) = 6 dx Given

A:

Q: 4 Find the linearization of the function f (x) = x² at x = 1. L(x) = Using this linearlization, ƒ…

A: f(x)=x4 at x=1 So, L(x)=f'(1)(x-1)+f(1)

Q: S 2 2 (2+ tan²o) nec²o do It tane a) In ( 1 + tan 6) + 2 auctan 2 tane - 1 b) b ( 1- tan 6) + 1/3/5…

A: To integrate the given integral.

Q: • Find the volume generated by revolving area about the given line plane the given

A:

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

A:

Q: Evaluate the integral. 1 u5 1 [(4-3- du u √√2 5 1 --- 4 3 1 √2 du = (Simplify your answer.)

A:

Q: 150 liters of fluid in which 20 grams of salt is dissolved. Pure water is then pumped into the tank…

A:

Q: 1-9 13-9 X x-h 2 3 . sin (lnx²) sinx 2-9 It cosx .dx 4-9 cotx.dx хр

A:

Q: 5) Find f'(x) given that f(x) = (2x³ + 2x² − 3)(3x³ − 2x² + 4)

A: In this question, we want to differentiate the given function f(x).

Q: Fill in the blank. The symbol C₁ represents a constant. - (6 + C₁e-⁹x)= Write this result as a…

A:

Q: Determine whether the differential equation - (7x² − 2xy + 3) dx + (8y² − x² + 7) dy = 0 is exact.…

A:

Q: Let h(x) = f(g(x)) and p(x) = g(f(x)). Use the table below to compute the following derivatives. a.…

A: Solved below.

Q: dy dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y none of the…

A: To find whether given differential equations are which one of the following in the given options.

Q: Find g'(x) if g(x) = 6xex g'(x) =

A:

Q: Find an explicit solution of the given initial-value problem. +²dy x=y=xy, y(-1) = -4 dx y =

A:

Q: 1 (c) I Y (d) y = 5x x², y = x = 0, y = 1, y = e I=

A:

Q: Q4) find the soluation of differention equation using exact equation 1) (1 + x²)dy+(2xydx)=0

A:

Q: MTI THE - T C₂ b

A:

Q: Evaluate the integral. 1/2 Jo 7 cos-¹(x) dx

A:

Q: B)Solve the differential equation = x - y. dx

A:

Q: Find the cross products uxv and vxu for the the vectors u = 3i-j-2k and v=i+2j-3k.

A:

Q: ſº 5u³ – 3u³ – 9du

A:

Q: 8. Find the area bounded by y=ex, y=x² and x=2. a. 3.1 u² b. 4.1 u² c. 5.1 u² d. 6.1 u²

A: Here we have to find the area bounded by the given curves.

Q: Q1: (a) Sketch and find the domain of function 1. f(x,y) = √(x²-4) (²9) 2. f(x, y) = ln(x² + y² - 4)

A: By our policies we are allowed to solve only one question at a time. Kindly repost other problem in…

Q: Solve the given differential equation. All solutions should be found. dy 3x² - 4y - y³ = dx 4x +…

A:

Q: Find the domain of the following vector-valued function. r(t) = sin 5ti + ²√² + ¹ k e

A:

Q: -0.5 1 100³S 1-=X² dx represents the area of a region bounded by 1 O a. the vertical lines x = +0.5,…

A:

Q: Q3 Find the value of Q. where Q = M/N. " 6 3 1 M= 7 -2 -1 40 1. Add file L-3 4 ГО TO N=1 L2 91 1 3 7…

A: See this solution in below

Q: * The following function f(x) = x^4 sinx is odd о neither O O even

A: Replace x with -x

Q: * Find dy/dx for the function_y=2 sin(3x) cos2x 4 sin (3x) sin (2x) - 3 cos (2x) sin (2x) O 6 cos…

A:

Q: For the vectors u= (-8,0,3) and v= (1,3,-3), calculate proj,u and scalvu.

A:

Q: A manufacturer's total cost equation per day is given by the equation TC = 440+4q+,00010². If each…

A: