Find the points at which the graph of the equation has a vertical or horizontal tangent line. 36x2 + 16y? + 288x - 192y + 576 - 0 horizontal tangents (x, y) = ( (smaller y-value) (x, y) = | (larger y-value) vertical tangents (x, y) = (smaller x-value) (x, y) = (| (larger x-value)

Q: Find an equation of the tangent line to the curve 2(2² + y?)? = 25(x² – y²) (a lemniscate) at the po...

A:

Q: 6 Convert your original pair of complex numbers to polar form. D=1-j2 A=2+j3

A: Convert rectangular into polar coordinates

Q: What is the characteristic equation and what role does it play in the solution to a linear, second o...

A:

Q: Solve the following using De Moivre's theorem, pascal triangle and binomial expansion. Show all your...

A:

Q: 3 y" + 5y" + 6y" + 5y' + 3y = 0 %3D

A:

Q: ft A spherical balloon is inflating with helium at a rate of 200x How fast is the balloon's radius i...

A:

Q: Determine the limit of the sequence an = (2n)^(3/n) or show that the sequence diverges. If it conver...

A: We have to check the convergence of the sequence  an = (2n)3n.

Q: 2π (9ピ)1 dt (18も)+(18ピ)

A:

Q: u = (6, -5, 8)

A: We will find two vectors in opposite direction orthogonal to the given vector. 

Q: Solve the DE using homogenous equations: Let: x = vy dx = vdy+ydv xy dx - (x2+3y2) dy = 0

A:

Q: Let f be a real-valued function on R. Suppose that f(−1) = 3 and f'(x) ≤ 2 for all values of x. How ...

A: f(-1)=3f'(x)≤2Integrating w.r.t x;∫ f'(x) dx ≤ ∫2 dxf(x)≤2x+Cf(-1)=33=2(-1)+CC=3+2C=5

Q: If we want to evaluate the integral x+18 1= +64 dx, and dx = do and therefore the integral becomes, ...

A:

Q: Solve for the derivative of the function using chain rule. 9. f(x)= esinx *please explain step by ...

A:

Q: Explain the following true or false questions in full detailed sentences and answers. Explain your t...

A: 1.TRUE.If there was no minima in betweenf(1) and f(3),Then function must be continuously decreasing ...

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

A: Two vectors are said to be parallel if they are scalar multiples of one another. or Two vectors are ...

Q: Find u, 3v, v – u, and 2u + 5u 3. u = (4, 3), v = (3, –3) 2. (a) 3

A: Given: u=4,3   v=3,-3

Q: A circle is growing, its radius increasing by 2 mm per second. Find the rate at which the area is ch...

A: Solve the given for chnage

Q: Question 10 Finding the Domain and Range of a Function: f (x) = Vr² – 3x + 2. 0(-0, -2 JU [1, 00) O(...

A:

Q: Consider the following differential equation - (8 – r) dr + 9rds = 0

A:

Q: complete

A:

Q: 22+88

A:

Q: Consider the coordinate vectors 7 (w]s (als = 0, B)s -3 %3D %3D 4. 2 3 4 (a) Find w if S is the basi...

A:

Q: Verify that fy =f for the following function. %3D f(x.y) =*y+5

A:

Q: A curve passes through point leio) and the Sloge dt line of each point (^,y) is egual to xe-BY .In t...

A: Curve passes through (e6, 0)f(e6)=0slope of Normal line=x e-8ySlope of normal line*slope of tangent ...

Q: Let f(x) = 4x^3 − 3x^2 − 18x + 5. (a) Find the critical numbers of f. (b) Find the open interval(s) ...

A: Answer is given below.

Q: Find the unit vector in the direction of v v = -6.3i + 3.7j u %3D

A: Let the unit vector in the direction of v be u.

Q: cor component of v orthogonal tob is ).

A: We will find the vectors. 

Q: If lim f(x) = 9 and lim g(x) = -4, which of the following is true? %3D a. limif(x) + g(x)} = -5 b. l...

A: 1) Given that limit of f(x) at x=2 is 9 and limit of g(x) at x=2 is -4, then we have to find correct...

Q: Activity 2. Instantaneous Velocity The velocity of moving object at a point during its motion can be...

A:

Q: Find the general solution to the differential equation y''-4y'=8-16x

A:

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not ex...

A:

Q: Find the area of the triangle with vertices P(1,4, –4), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the exa...

A:

Q: Find the direction cosines and angles of u and show that cos a+ cos + cosy- 1. (Round your answers f...

A:

Q: 69 -24 A) -24 Solve lim B) 4 9+2 2-9 C) 24 D) -

A:

Q: Use the product rule to find the derivative. f(x) = -2xex? %3D Please show all steps

A: To find the derivative of given function.

Q: Find the difference quotient and simplify your answer. Ax) = x² – x + 1, f(6 + h) – f(6) -, h+0 h f(...

A:

Q: y'= (6x-2y-3)10 When 9polyg the vavable change u= - 6x-2y-3 the eqn converts 'into? Oa du = (-2u" + ...

A:

Q: 5. Solve the following Exact/Inexact Differential Equation. If it is inexact, then dy solve it by fi...

A:

Q: Use the Laplace transform to solve the given initial-value problem. у' — 5у %3D 6(t — 4), У(0) %3D 0...

A:

Q: f(x, y) = 3x³ – 2x² y + 5xy + 7y + 14 - Evaluate: %3D dxôy О а. -6х O b. 10y – 4x О с. 0 d. 9x + 7y

A: Given problem:-

Q: Evaluate the integral. (Hint: u-sub) R/8 S (1+ etan 20) sec² 2x dx O 2e e

A:

Q: 4. Find the general solution of the differential equation using the method of undetermined coefficie...

A:

Q: Find the angle 0 between the vectors in radians and in degrees. u = (2, 2), v = (4, -4) %3D | (a) ra...

A:

Q: A. Directions: Identify if the given function is continuous [-3,2) (1,3] - (0,4) [4,5.25) (-3,0) ......

A:

Q: sin () tan r V57 – x³e2¤ 2. Find the derivative of f(x) = using logarithmic differentiation.

A:

Q: 2 Find vertical asymptote(s) of the function t(x) : Use commas to separate equations if needed. %3! ...

A:

Q: Covider r the following diferental equation 2x+3y +22 7x +6y +50 ミ A variable chonge to turn the equ...

A: (b)   x = z-2 and y = w - 6

Q: A piece of wire 28 m long is cut into two pieces. One piece is bent into a square and the other is b...

A:

Q: (3) Let a, b, c € R and a # 0. Find the radius and interval of convergence of the following power se...

A:

Q: Question 2 Write a simpler function that agrees with the given function at all but one point. Then f...

A: