Find a cartesian equation for the curve r² = 4. Equation Use your answer above to graph r² = 4. Y 4 -5 5 -5 5 X

Q: Define g(6) for the given function so that it is continuous at x = 6. 4x² - 144 4x - 24 g(x) =…

A: given function

Q: IQ5] Solve the following of A- Change from cartesian (i) (ii) (1,√3,-2√3) to Cylindrical and…

A: Cartesian coordinates (1,√3, -2√3)x= 1y= √3z=-2√3

Q: Suppose that the price and supply for a certain model of graphing calculator are related by p = S(q)…

A:

Q: The graph below is comprised of transformation of tool kit functions. 6 5 -4 -3 62 A 3 2 M -2 3+…

A: The equation of the parabola is given by,As we can see from the graph, the vertex is at (h,k)=(-3,4)…

Q: Find the distance (d) between the planes -4x + z = -21 and - 4x + z = 34. Please show your answers…

A: given two planes

Q: Use a table of values to estimate the value of the limit. Sketch your table on paper, showing six…

A:

Q: M = units (Simplify your answer.)

A:

Q: A sample of radioactive material disintegrates from 5 to 4 grams in 200 days. After how many days…

A:

Q: Find a cartesian equation for the curve Equation - ㅠ 3 Use your answer above to identify the graph…

A:

Q: Find the equation for the plane through the points Po(3, -4,2), Qo(-5,0,− 3), and Rō (0, – 4, — 5).…

A:

Q: 8. If 5x - 6 g(x) ≤ x² + 3x - 5 for all x ≥ 0, evaluate lim g(x). x-1

A: 8. If 5x−6≤g(x)≤x2+3x−5 for all x≥0, evaluate limx→1g(x).

Q: Find the area A of the shape bounded by the x-axis, the function y = ei and the lines x = 3, x = 6.…

A:

Q: lim x 2 X- 1 x² 2 1 4 The limit exists, lim x 2 The limit does not exist x - 2 1 1 x² 4 - ||

A:

Q: Let f(x) = ex/(x + 4) 2 X x² - 36

A: f(x)=ex/(x+4)x2−36

Q: Solve the initial value problem. +2 dx dt 3 +7tx = t Int+2, x(1) = 0

A:

Q: Given a function h(x) = x-2 Sgn (x) where sgn(x) called - signum function is defined as sgn(x) =…

A: Given a function  where  called signum function is defined as To evaluate the following:

Q: Suppose a water tank is to be constructed by rotating the parabola y = ² about the y-axis from x=0…

A: Find the volume of the  water tank rotated about y axis

Q: below attached is part B , please calculate

A: We have to find the total area of the shaded region.

Q: There is a horizontal line (of the form y = b) that divides the region bounded by the curves y = x²…

A:

Q: Differentiate the function. f(x) = sin(5 In(x))

A: this is question of differentiation here function is given we have to find differentiation of that…

Q: Find the value(s) of k such that the function f(x) is continuous at x = 2. ²-4 X-2 f(x) = kx² - 6, x…

A: f(x)={x2−4x−2,x<2kx2−6,x≥2

Q: 1. Find the parametric equations for the line through (1.4,0) and perpendicular to both i+j and j+k.…

A:

Q: Find all points (x,y) on the graph of f(x) = 2x² - 5x with tangent lines parallel to the line…

A: To find all points  on the graph of with tangent lines parallel to the line .

Q: A particle moves along a straight line with an acceleration of a=5/(3s^1/3+s^5/2)m/s2, where s is in…

A:

Q: _y'(x) = y = (x³ + 2)²(x²+4)*

A:

Q: 6. Degree 4; zeros: 2 + i;

A:

Q: Find the arc length (8) of the curve (t) 8 F(t) = (-4t - 4, 2t³/26, 4³/2 - 5) for 1 < t < 3 = 11

A: given paratmetric curve to find arc length

Q: In Problems 23-26, verify that the indicated function is an explicit solution of the given…

A:

Q: Newton's Law of Cooling tells us that the rate of change of the temperature of an object is…

A: Newton's Law of cooling states that rate of change of temperature of an object is proportional to…

Q: (y'+(1/x)y=sqrt (y) how do you solve this using Bernoulli technique

A: y′+yx=y

Q: Use the graph of the function f shown below to respond to each prompt. The first prompt is worth 3…

A:

Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

A: The directional derivative of a function f at (x1,y1) in the direction of the  is where  is the unit…

Q: (b) sec(0) csc (8) sin(8) -0.92307692307 X cos(8) = -0.38461538461 X tan(8) = 2.4 cot (8) =…

A:

Q: Consider the vectors à = (5,3,7), b = (2, −3,4), and c = (1,2, -3). What is the area of the…

A: given vectors

Q: The temperature of water in a certain lake on a day in October can be determined by using the model…

A:

Q: Consider the following. f(x) = 8x - 16 cos(x), -2 ≤x≤0 Use technology to estimate the absolute…

A: The given function is  ,

Q: 2 Let R be the region bounded by y = x², x = 1, and y = 0. Use the shell method to find the volume…

A:

Q: The point P(1, 1/5) lies on the curve y = x/(4 + x). If Q is the point (x, x/(4 + x)), use a…

A:

Q: Use cylindrical shells to find the exact volume of the solid obtained by rotating the region bounded…

A:

Q: Find an equation of the line that is tangent to the graph off and parallel to the given line. f(x) =…

A:

Q: Rewrite the following Cartesian equation as a polar equation using the variables r and 0. To input…

A:

Q: Let f(x)= = - [₁ f'(x) = f'(2) = todt. Evaluate the following.

A:

Q: Video Example Find the critical numbers of the function. f(x) = x³/5(7 - x) Solution First note that…

A:

Q: (x-y)y’=x+y

A:

Q: x² - 4x x 4 x² - x - 12 (f) lim

A:

Q: If f(x) is defined as follows, find (a) f( − 2), (b) f(0), and (c) f(1). x² f(x) = -2 (a) f(-2)= (b)…

A:

Q: Below is the velocity function, in feet per second, for a particle moving along a straight line.…

A: Given a velocity function v(t) in the time interval [a,b]

Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

A: The given function is; f(x,y)=3x2-y2+4P( 1,3), Q( 6,8).

Q: A ball is thrown straight down from the top of a 280-ft building with an initial velocity of -24 ft…

A: A ball is thrown straight down from the top of a  ft building with initial velocity of ft per second…

Q: Suppose a metal block is cooling so that its temperature T​ (in °​C) is given by T=200•4 ^(−0.2t)…

A: Here we have given a metal block which is cooling so that its temperature is given by:where t is in…