Write a rational function with the given characterstics. A) There is a zero at 6, a hole at x=-3, no vertical asymptotes, and horizontal asymptote at y=x-6 B) The zeros are at -1 and 3 and the vertical asymptote is at x=0

Q: 2) Evaluate 21 S.SI xy + y" dy dx

A:

Q: 7. Evaluate Definite Integral 4 X/4 -4 3 dx

A:

Q: Sketch the region bounded by the graphs of the given equations and find the area of their region. X…

A:

Q: d dx f(x) = ex, f(0) = 8.

A:

Q: d the distance between each pair of parallel line 1210. 2 m b=\ LM = 1 line: +1 y = 2x + 1 y = 2x -…

A: Given query is to find the distance between the lines.

Q: At a surface of the ocean, the water pressure is the same as the air pressure above the water, 1.05…

A:

Q: Consider the function g given by g(x)=|x−6| +2.   ​(a) For what​ x-value(s) is the function not​…

A: A function is non-differentiable when there is a cusp or a corner point in its graph.   Given :…

Q: Evaluate y sin(xy) dA, where R = [1, 2] × [0, π]. R

A:

Q: Work Problems ( t+2 (1) {^~^~`----` 2) Let r(t) = ( √5 – t, ¹+², t sin t). > A) Find the domain of…

A:

Q: Use spherical coordinates to calculate the triple integral of 1 x² + y² + z² f(x, y, z) = over the…

A:

Q: Write the expression in terms of first powers of cosine. Do not use decimals in your answer. Make…

A: Solve the following

Q: (2) The contour diagram of g(x, y) is given below. 2 -2 -2 -3 -2 -1 0 2 (a) Clearly label a point P…

A: The given contour diagram of gx, y is given below:

Q: The DE M(x,y) dx + (3e-4x + 7y) dy=0 is an exact differential equation if O M(x,y)=-12ye-4x-8y O…

A:

Q: Find the critical numbers g(x) = x1/3 - x-2/3 *please use handwriting not typing, I understand it…

A:

Q: Find ay/ax implicitly. dy dx 6xy + In(x²y) = 9

A: Solution:

Q: Halley's law states that the barometric pressure (in inches of mercury) at an altitude of x mi above…

A:

Q: When an object is dropped on a certain earth-like planet, the distance it falls in t​ seconds,…

A:

Q: Find the partial derivatives of the function fz(x, y) ye^9y f(x, y) = ye^gy fry (x, y) fyr (x, y)…

A: ∂ ∂x(xn)=nxn-1∂ ∂x(constant)=0f(x,y)=xye9y

Q: Solve the initial value problem for r as a vector function of t. d²r Differential equation: = -34k…

A:

Q: Find the average value of the function over the given interval. 1 on x² f(x) = on [1, 7]

A: The average value of the function is 17  17≈0.1428

Q: Find equations of the tangent plane and normal line to the surface x = 2y² + 4z² 354 at the point…

A:

Q: b) The cost structure for iPhones are as follows, fixed cost of $25 and variable cost per unit of…

A: Given:Fixed cost=$25Cost price per unit=$2

Q: x = Find the volume of the solid obtained by rotating the region enclosed by the graphs a the…

A:

Q: Determine whether the following series converges. Justify your answer. 8 + 10 Σ 8 k=1 k

A:

Q: Find the periodic withdrawals PMT for the given annuity account. HINT [See Quick Example 4.] (Assume…

A:

Q: Ət A. Use the chain rule to find and as functions of x, y, s and t. Ət = მა Suppose z = = B. Find…

A:

Q: Question 2 (5 y² +3 x)dx+7 x y dy=0 (*) a) Determine whether the given differential equation (*) is…

A:

Q: If f(x, y, z) = xe² sin (42), then the gradient is Vf(x, y, z) =

A:

Q: Question Find the Maclaurin polynomial på (x) for f(x) = 5ª. Provide your answer below:

A:

Q: Find the solution of the differential equation that satisfies the given initial condition. xy' + y =…

A: Given

Q: Suppose that a company's sales volume y (in thousands of units) is related to its advertising…

A: Given : xy − 60x + 12y = 0 for x = 12

Q: A producer of soft drinks was fairly certain that her brand had a 15% share of the soft drink…

A:

Q: 2. f cos³ (20x)dx

A: Given :

Q: Find the point on the curve r(t) = (5 sin t)i + (-5 cos t)j-12tk at a distance 26 units along the…

A:

Q: Using the method of the Determination of Integrating Factors, what is the integrating factor when…

A: Let's solve given diffential equation.

Q: d da -f(x) = cos x, f(0) = 9.

A:

Q: Which graph is a possible sketch of the function f(x) = (x-6)(x+3)³ ? 625 500 375 + 250 125 +…

A:

Q: Evaluate the following integral over the Region R. (Answer accurate to 2 decimal places). √ √ 12(1 -…

A:

Q: Determine the type of DE (select all that applies): (2y3x3) dx + 3xy2dy=0 Exact Linear None of these…

A: DE

Q: Find the critical numbers g(x) = |3x - 4| *please use handwriting not typing, I understand it…

A: A critical point is a local maximum if the function changes from increasing to decreasing at that…

Q: radioactive cesium-137 has a wide variety of uses and is commonly used in hospitals for diagnosis…

A: Given query is to find half life.

Q: The length of the box is 6 inches less than the width and the height is 2 inches less than the…

A: We need to find dimensions and graph.

Q: The curve with parametric equations x = 2t cost, y = 2t sint, and z = 2t lies on z = x² + y². Select…

A:

Q: Differentiate the function.   y=(6x2-7)/(5x3+1)

A: The given function is; y=(6x2-7)/(5x3+1)

Q: Find Indefinite integral. Show all your work. √(x ² + 5x) dx

A: I have appended the formula used in the solution part of the question

Q: If a cup of coffee has temperature 88°C in a room where the ambient air temperature is 21°C, then,…

A: Given query is to find the average temperature of the coffee for first 30 min.

Q: STRUCTIONS: Differentiat respect to x) using any method. (x) = √x + 2x X _x) = x sin-¹(x)

A: Topic:- application of derivatives

Q: Use cylindrical coordinates to find the volume of the region bounded below by the plane z = 2 and…

A:

Q: (e) Identify the x-coordinate of any inflection point(s) of f(x).

A:

Q: determining

A: