Two automobiles start from a point A at the same time. One travels west at 80 km/hr and the other travels north at 60 km/hr. How fast is the distance between them changing 3 hours later?

Q: 1. Consider the point in the plane whose Cartesian coordinates are (x, y) = (-10, 24). 1.1. Find…

A: From cartesian to polar coordinates we have the following conversion formulax2+y2=r2 i.e.,…

Q: (1) (2) (4) B" A" A" B" 90 B'

A: We will find the type of pairs of lines.

Q: 6 What is the recursive formula for the sequence 3, -12, 48, -192, 768,...? a 1 = 3, a n = (a n -…

A:

Q: Find the equation of the vertical asymptote f(x) = log(x + 1) %3D > Next Question

A: Given

Q: cos(xy) + secy = 5

A: To solve the second derivative y'' of the following function and to simplify the final…

Q: Find an equation of the plane. The plane that passes through the point (−2, 3, 2) and contains the…

A: This question can be solved using the concept of planes in three dimensional geometry.

Q: The maximum value of x + y + z subject to the constraint x² + y² + z² = 1 is Write in decimal form…

A:

Q: Find the Jacobian of the transformation. x = 6u/v,    y = 7v/w,    z = 4w/u ∂(x, y, z) ∂(u, v, w) =

A: To find the Jacobian ∂x, y, z∂u, v, w of the following transformation.x=6uv, y=7vw, z=4wu

Q: Green theorem satisfied if the region C is closed True O false O

A: Greens theorem

Q: Express the limit as a definite integral on the given interval. lim 2 x;)?+9 -ах, [1,4] (x;")² + 9'…

A: Use;∫abf(x) dx =limn→∞ ∑n=1n f(xi) ∆x                       over the given interval [a, b].

Q: A ball is thrown upward from a height of 0.1 m at an initial speed of 36 m/sec. Acceleration…

A: Find your answer below

Q: Evaluate each of the following integrals. 1. sin x cos' x dx

A:

Q: Find the point on the line y = 4x + 3 that is closest to the origin. %3D (x, y) = %3D -

A: Given query is to find the Indicated point .

Q: Find the cofactor matrix of the following matrix 1 0 1 A = 4 -2 5 1

A:

Q: lim x⟶0−        f(x)= B) lim x⟶0+         f(x)= C) f(0)= D) Determine whether the function f is…

A: We have to find the limit

Q: Solve the following quadratic inequality: a“ – 6x + 8 <0 Write your answer in interval notation.…

A: First we shall factor and find roots of quadratic equation then figure out intervals in which…

Q: Using decomposition into partial fractions, 4x2 + 2 -dx x(x² + 2) is equal to In|x (x? + 2)| + C…

A:

Q: Given f(x, y) = 3æ'y- 8ry. Compute: www dy?

A: This question can be solved using the concept of partial derivatives.

Q: Assume x and y are functions of t. Evaluate for the following. dt dx 3 3, х%3D1, у%3D2 3 '= 2x + 6;…

A:

Q: I need help with g(18).

A: Here we have to find the value of g(18)

Q: x-3 3. Find lim and simplify. x+9 x-9

A: Solution

Q: Given the following differential equation (E): y" + 2y' + 5y = 0. The solution of (E) is: O None of…

A:

Q: Which of the following is the particular solution of a nonhomogeneous differential equation…

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost the…

Q: PRACTICE ANOTHER fence parallel to one of the sides of the rectangle. Let y represent the length (in…

A:

Q: The integral (2

A: Given: ∫124xx2-43dx

Q: George was required to repay a loan that matured to $4,550 on August 14, 2015

A:

Q: 1 f(x) X - 9 Determine whether f(x) approaches ∞ or -o as x approaches 9 from the left and from the…

A:

Q: Express the series using sigma notation -5 + 10 - 20 + 40 - 80.

A:

Q: Q2: Determine the type of the two lines (parallel, perpendicular, intersecting, north) and give the…

A: here figure 1  is pependicular line because given that both intersect at 90 degree    in figure 2 is…

Q: Write the first five terms of the arithmetic sequence. ad - 1 0.2 2. 10 14 21 3333 0.214 7 10 3333-3

A: This question can be solved using the concept of general term of arithmetic sequence.

Q: Problem #2: Differentiate f(x) = [(4x* – 5)(3x² – 9x – 5)]° and solve f'(2). %3D Solution: Reason:

A:

Q: man wishes to use 100 feet of fencing to enclose a rectangular garden. Determine the maximum…

A: Given query is to find the maximum possible area.

Q: A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let r…

A: Given problem:- A cylinder (round can) has a circular base and a circular top with vertical sides in…

Q: dx Vx+2

A:

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: Given query is to find the the function.

Q: Evaluate the summation i=1 28 10 30

A:

Q: Evaluate the following expressions. Your answers must be exact and in simplest form. (a) In e l = -1…

A: We can answer the questions as below.

Q: For f(x)=3xv(4-x²) determir within its domain..

A:

Q: Question 3 1-. a) [. following series -): : Determine whether the (-1)"4"-1 32n+1n n=1 is convergent…

A:

Q: The mean of two samples of size 50 and 100 are 54.5 and 50.3. Calculate the com bined mean of the…

A: Topic:- Basic algebra

Q: A rectangular storage container without a lid is to have a volume of 10 m. The length of its base is…

A: Here we will find the cost of the least expensive container step by step,

Q: Arcsin(x/y) = 4x + 3y %3D

A:

Q: 3. Compute the area bounded by the limacon r(0) =1+2sin 0 excluding the area of the inner loop.

A:

Q: Use the Integral Test to determine whether the series is convergent or divergent. (If the quantity…

A:

Q: dx Assume x and y are functions of t. Evaluate for 2xy - 7x + 2y = - 20, with the conditions = - 6,…

A: topic- derivatives

Q: 4 about the point a = 3. (Your answers should include the variable x when appropriate.) Find the…

A:

Q: | 4.5x + 3.2y = 7.7 0.8y 0.9x 0.1

A:

Q: Using chain rule, find the derivative of the hyperbolic functions: f(x) = tanh(4x) f (x) = In…

A:

Q: Question 2 ( Consider the initial-value problem y" + 4y = 5 sin 3t, y(0) = 0, y'(0) = 3. (a) Use the…

A:

Q: Determine if the infinite series is convergent or divergent. Σ n=13n+1

A: The given series,     ∑n=1∞n3n+1