y y 12 12 10 8 6 4 2 21 X 2 4. 8 10 12 4 (d) Show that the slopes of the graphs of f and f are reciprocals at the given points. f'(9) = ()(2) = 10

Q: ² = 4. Maximize Q = 4xy, where x and y are positive numbers such that x+y %3D y: (Type an exact answ...

A: topic - application of derivatives

Q: Solve the given differential equation by separation of variables. dy ху + бу — х — 6 - - dx ху — 5у ...

A:

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A:

Q: Find all the second-order partial derivatives of the following function. h(x,y) = 8x e Y + 7y + 3 dx...

A:

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a grap...

A:

Q: a. F(x, y) = (x – y, x + y, z²)) b. F(z, y) = (2xy", 3x²y) O . F(r, y) = (1+ ysen(x), 1 – cos(x))

A:

Q: Given the table of values below, find h' (0) if h(x) = f(x) \ 2 g(x) f(x) f'(x) g(x) g'(x) -2 -3 1 -...

A:

Q: Find an explicit formula for the general term an of the sequence.  −1,   1 3, −  1 5,   1 7

A: Find your answer below 

Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

A: r = radius of circle a = length of each side of equilateral triangle  

Q: Find the derivative of the function. f(x) = V9 - 3x2 %D f'(x) %3D

A:

Q: Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost fu...

A: We have to find ∆c and c'(x). 

Q: Consider the following polynomial: f(x) = (x - 3)(2x – 1)(x + 2)(2x + 3) a. Write the polynomial in ...

A: Note:- According to our guideline , i didn't solved all subparts ( i  solved only first 3 subparts)....

Q: Identify the following as scalars, vectors or meaningless a) a (bxc) b) (a•5)x(cxd) c) (axb)•(exd) d...

A: Find your answer below 

Q: A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pe...

A:

Q: Find the radius of convergence and the interval of convergence. Σ k + 10 k=0 Radius of convergence: ...

A: Given problem:-

Q: II. Find the derivative of the following functions. 2. f(x) = -V5x* + 3x³ + 6x -9

A:

Q: Use the method of your choice to determine the probability below. Three rainy days in a row when the...

A:

Q: e3x dx be given, If u = e* + 1, then the resulting integral is Jf(u) du. Compute f(5). Let ex +1 2 A...

A:

Q: Consider the integral dx x . Using u-substitution, what is an appropriate u and du? -2x 2e

A:

Q: Determine whether the alternating series converges. 7ln k k k=3 O The series converges. O The series...

A:

Q: Find for the following function: X + tan(xy) = 0 %3D dx

A:

Q: The figure below shows a sector of a circle with central angle 0. Let A(0) be the area of the segmen...

A:

Q: . Find two positive integers such that the sum of the first number and four times the second number ...

A:

Q: Find the derivative of the function. h(s) = -2/75² + 9 h'(s) =

A: Given that hs=-27s2+9To find : derivative ,h'sSolution ;hs=-27s2+9h's=-2×127s2+9×14s

Q: Find the derivative of the function y = cot^-1 x^2– cos^-1 (x + 1/x – 2). %3D

A:

Q: x+1 For the function g(x) Find the second derivative of g.

A: Dear learner, as per our guidelines we can provide the solution for first one only. Kindly post othe...

Q: Given the matrix -8 7 Introduce the "-R" term to the diagonal of the matrix then find the quadratic ...

A: Given problem:-

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Topic:- sequence and series

Q: Raggs, Ltd, a clothing fim, determines that in order to sell x suits, the price per suit must be p= ...

A: Find your answer below 

Q: If f(-x)=(2,-1), what are the coordinates of f'(x)?

A: If coordinates of f(x)= (x,y) then  coordinates of inverse of the function f(inverse)(x) = (y,x)

Q: L{af(t) + bg(t)} = a£{f(t)} +bL{g(t)}, where a and b are constants and both f and g are continuous a...

A:

Q: Find the derivative with respect to x of the function r4x t² F(x) = e dt.

A:

Q: Consider the function g : (6, 0) → R given by, 3x g(x) : x-6 Then we have that lim g(x) =3 . %3D x→∞...

A: The given function is: g(x)=3xx-6&limx→∞g(x)=3

Q: Find the general term of the sequence, starting with n 1,determine whether the sequence converges, a...

A: We have to start with n=1 to make given sequence. we have to find an and limit value

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about a = x0 and then find the nth Taylo...

A: The formula for the Taylor polynomial of degree n is: pn(x)=f(x0)+f'(x0)1!(x-x0)+f''(x0)2!(x-x0)2+.....

Q: Find the volume V of the solid obtained by rotating the region bounded by y = sin(x?) and the x-axis...

A:

Q: Determine whether the alternating series converges. 7ln k (- 1)*- k k=3 O The series converges. O Th...

A: We have to check weather the given series is convergent or divergent.

Q: A small aircraft is flying on a heading of N 30°W at a constant speed of 150 km/h. The wind is blowi...

A: The vector representation of the velocity of plane, velocity of wind and resultant vector R has been...

Q: B) Express the given quantity in terms of sin x and cos x. Sin (2n – x)

A:

Q: (0) E sin ) sin 2(n+ 1) - n=1

A:

Q: Find all angles 0 between 0° and 180° satisfying the given equation. Round your answer to one decima...

A: We can use the formula  θ=sin-1ab and sinθ=sin(180-θ) to solve this equation

Q: By considering different paths of approach, show that the function below has no limit as (x,y)→(0,0)...

A:

Q: Suppose y = tan x. A. Find dy and Ay when r = 60° and Ar = 1°. B. Use your answer in part A to appro...

A: Given that y=tanxA. y=tanxdy=sec2xdxdydx=sec2x△y=dydx△x△y=sec2x△x△y=sec260°×1°△y=4×1°=4°

Q: 1 Use the Integral Test to determine whether the scries is convergent or V3k + 5 k=1 divergent. Reme...

A:

Q: the

A:

Q: df Find dx by using chain rule if f = u =-1 , x=-1 u+1

A:

Q: Identify the following as scalars, vectors or meaningless a) a•(bxc) b) (a•5)x(exd) c) (axb)•(cxd) d...

A:

Q: Write the first five terms of the sequence: {Vn? + 7n – n}n=1 | Determine whether the sequence conve...

A:

Q: Find an explicit solution of the given initial-value problem. 1 V1-у? dx - V1-x2 dy — 0, У(0) y =

A:

Q: * = k (T – Tm) dt where T To

A: