graph for the function arctan(x).

Q: Using Lagrange multipliers, find three positive numbers whose sum is 18 and such that the sum of…

A:

Q: Set up integrals for both orders of integration. Use the more convenient order to evaluate the…

A:

Q: Find the gradient of the function at the given point. g(x, y) = 6xeYlx, (14,0) Vg(14, 0) :

A:

Q: Plot the following functions over the defined domain. Range is at all values of y 1 b. f(x) = xe-*,…

A: x f(x) -1 -e 0 0 1 1/e 2 2/e2 3 3/e3 4 4/e4 5 5/e5     x g(x) -1 -1/2 0…

Q: Use the comparison test to test the series i n²-1 n = 1 n* 4

A:

Q: Find the particular solution of an EDE (2xy2 +1)dx + (2x2y-y)dy%3D0 when x-2 and y=-2 Answer:

A:

Q: (-12)" Σ 100 n n= 3 n

A:

Q: yA (b) Economists study two functions: R(1) and C(r) which are the revenue and cost when r units of…

A:

Q: Which of the following p-series is convergent: 1 Σ 00 n=1 5 n=1 n n=1 5 1 n=1 15 n

A:

Q: 4. Ln=1 By the series test: 3n-2

A:

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 4 meters per minute…

A: A circle is inside a square.The radius of the circle is decreasing at a rate of 4 meters per minute…

Q: Solve the following differential equations of (2x* +y)dx+(x'y-x)dy = 0

A:

Q: 9y" + 6y' + y = 0, y(0) = -1, y' (0) = 2.

A: THE SOLUTION IS GIVEN

Q: Find the value of k that will make the function f(c) continuous everywhere 2x + k, x -5 -4 13 O…

A:

Q: Consider the planes x – 10y – 2z = 3 and 2x – y + z = -13. Find the following. 1. A vector…

A: The given planes are: x-10y-2z=3 and 2x-y+z=-13 Let us assume z=t on the line of intersection, where…

Q: Question 4: Let T be defined as T (v1, v2, v3) = (vl1-v2+v3, v2-v3, v1+v2) a) Find the image of (1,…

A: The objective of the question is evaluate the pre image .

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

A:

Q: a. Find all the asymptotes of the following functions 4x* + 4x3 + 12x² + 6x – 24 6x* + 8x – 9 f(x) =…

A:

Q: (e) Compute y' if y2 = xe + ye-

A:

Q: Given the function glx) = -, find the x-value that satisfies the Mean Value Theorem on the interval…

A:

Q: Find the area of the shaded region. r = Vcos 20 r = 10 cos e NOTE: Enter the ezact answer. A =

A:

Q: Explain why the integral is improper. dx 3 2.5 2 y 1.5 0.5 8 At least one of the limits of…

A:

Q: x2 Find the length of arc of the curve y = 4 Inx from x 1.5 to x = 2.

A:

Q: Let f(x) = VT +k, where k is a constant. Suppose we want to evaluate | f(x) dx. f(x) dæ dx – 2 dx +…

A: Given:   Let fx=π-2x+k then      ∫fxdx=∫π-2x+k dx                      =∫πdx-∫2xdx+∫k dx taking…

Q: mum/relative minimum or neither. ive. Then determine the intervals where f(x) concave down.

A:

Q: Evaluate: Σ 1°e(2+x)i+2x

A: The given expression is: ∑i=0∞1i!xi1ee2+xi+2x. We will use the fact: 1e=1 to simplify it. So it…

Q: I"f'(x) 0. then which of the following is true? o f(x) is increasing and concave up o f(x) is…

A: If f'(x) < 0 and f''(x) > 0 Then , which of the following statement is true

Q: Which of the following series can be used with the comparison test in order to conclu that the…

A:

Q: Evaluate: 5° (-0.45)'(-1)10+i 212- 3D1

A: The given expression is: ∑i=1∞-0.45i-110+i2i2-i We can rewrite this as: =∑i=1∞-0.45i-110+i2i2i…

Q: 2y" – 3y +y –0 4y" – 9y – 0

A:

Q: x- 1. a. Find the derivative of y =

A:

Q: 1. Find all the remaining zeros of this polynomial function 2 = x' + x° + 7x´ + 9x – 18, 3 if one…

A: To find all the remaining zeros of this polynomial function.Px=x4+x3+7x2+9x-18, if one zero is 3i.

Q: Let the a sequence {fn} be defined by 00 fn fi = 1,f2 = 1,fn = fn=1 + fn=2,n > 3, then sum of the…

A:

Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 <ts 1. X + dy

A:

Q: Set-up the integral for the area A(R) of the region R bounded by the circles y2 + x² = 4, and y2 +…

A: Region bounded by two circle in fourth quadrant

Q: Q2/ Find S*(4 – 3x) sinx dx -

A: Given: I=∫0π/44-3xsinxdx   As we know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx And…

Q: Use Exact Differential method ( Rule II) to solve : (x² – y²)dy = xy dx.

A:

Q: A manufacturer has determined that t weeks after the end of an advertising campaign, the rate change…

A: A manufacturer has determined that t weeks after the end of an advertising campaign, the rate of…

Q: Evaluate arccot(tan 4). 2л 4

A: We will evaluate the trigonometric expression in the following step.

Q: Find the equation of the line tangent to Y = 3x² +x + 1 at = -3 %3D %3D O y = -17x - 26 o y = 6x – 3…

A:

Q: Find the solutions of the system of inequalities by graphing: x + y > –1; 2x + y < -3

A: x+y=-1y=-x-1(line with negative slope and intercept -1)2x+y=-3y=-2x-3line also with negative slope,…

Q: Textbook Videos [+] Given the function below f(x) = V 196x + 539 Find the equation of the tangent…

A: The given function is  f(x)=(-196x3+539)1/3, At x=1.

Q: (Show your solution) Compute the inverse of the function f defined by f(x) V+ 2. Determine the…

A: We have to calculate inverse of a function  And the domain and range of the inverse function.

Q: Use the comparison test to verify that the following series converges: 1 Σ n=15+n7

A:

Q: 100 The sequence { 2n+3 n=1 }, is decreasing. Select one: O True O False

A:

Q: Compute f′(x). a) f(x) = (x2 +1) e−x^2  b) f(x) = (4e−x − e−3x)3  c) f (x) = x2 ln (x2 − 4) d) f…

A: Product Rule of differentiation : du.vdx = u.dvdx +dudx.v dxndx=n.xn-1 deaxdx=aeax Note : As per…

Q: Find the differential equation corresponding to the family (x + a)? + 2y? = a?, where 'a' is the…

A: To find differential equation.

Q: A particle moves vertically (in inches) along the yoxis according to the position equation s(t)=> -…

A: We are given position equation of a particle moving vertically (in inches) along y-axis : s(t) =…

Q: y" + 5y + 3y = 0, y(0) = 1, y(0) = 0.

A: This is a problem of differential equation. Solution consist of complimentary function and…

Q: QUESTION 1 Find the magnitude and direction of the vector acceleration when t=2 seconds for an…

A: Position vector:r(t)→ =t3, 1-t2Velocity vector:v(t)→ =r'(t)→ =3t2, -2tacceleration…