Solve, a. Identify the conic section that teh polar equation r = 3/(1 + sin θ) represents. b. Describe the location of a directrix from the focus located at the pole.

Q: x4 - x3 - 7x2 + x + 6 = 0 a. List all possible rational roots or rational zeros.b. Use Descartes’s R...

A: The polynomial equation is x4-x3-7x2+x+6=0 Let, f(x)=x4-x3-7x2+x+6

Q: Suppose that an oil spill in a lake covers a circular area and that the radius of the circle is incr...

A:  Given: An oil spill in a lake covers a circular area and that the radius of the circle is increasin...

Q: How do I evaluate the limit?

A:

Q: Use properties of logarithms to condense the logarithmic expression log x + log(x2 - 4) - log 15 - l...

A:

Q: Consider the points in the plane P(10, 8) and Q(-1, -7) Sketch the vector PQ in 2-space. Clearly lab...

A: Given points are P(10,8) and B(-1,-7) The vector PQ sketched in the graph                      

Q: If a polynomial f(x) has a remainder of -4 when divided by x-3, what is f(3)? f(3) : %3D

A:

Q: The distance, s, that a body falls from rest varies directly as the square of the time, t, of the fa...

A: Given: (k is a constant used to remove the proportionality sign) When s=64 feet and t= 2s value of ...

Q: Using data from 2002 and with projections to 2024, total annual expenditures for national health car...

A: Given that E= 15,315 For that E we need to find x  

Q: The figure shows graphs of f , f', f", f"'. Identify each of curve. a b c d

A: From the given graph, we draw tangents

Q: 67-72 - Absolute Value Evaluate each expression. 67. (a) 100 | (b) |-73|| 68. (a) V5 - 5| (b) | 10 -...

A: Since you have posted multiple questions, as per our policy we will answer first question. Please re...

Q: I need a solution

A:

Q: Sketch a right triangle corresponding to the trigonometric function of the acute angle θ. Then evalu...

A: Given Data The trignometry function is secθ=135.   The sketch of the right angle triangle correspond...

Q: Find f'(x), f'(x), and f (x) for the following function. f(x) = 6x + 3x? + 4x %3D f'(x) = 18x + 6x+4...

A: The given function is fx=6x3+3x2+4x. Differentiate fx with respect to x. f'x=ddx6x3+3x2+4x=6ddxx3+3d...

Q: After a large number of drinks, a person has a blood alcohol level of 200 mg/dL (milligrams per deci...

A:

Q: What does it mean when we say that a formula models real-world phenomena?

A: Concept: A formula is a statement of equality that uses letters to express a relationship between tw...

Q: In Exercises 25-28, compute the derivative of f o g.

A: We first find the composite function  f∘g=f(g(x))=f(sinx)=2sinx+1  

Q: The parallelogram determined by vectors a and b has area 2sqrt3. If the vector c=a+b makes an angle ...

A: Given information: The parallelogram determined by vectors a and b has area  23 Vector c=a+b make an...

Q: Solve the polynomial inequality 9x2 - 6x + 1 < 0 and graph the solution set on a real number line...

A:

Q: Use the Second Fundamental Theorem of Calculus to find F′(x).

A: Fx=∫1xt4dt Now consider, ∫t4 dt=∫t14 dt              =t14+114+1+C          ∫xn  dx=xn+1n+1+C=t5454+C...

Q: 4+ 9e Use the Quotient Rule to determine the derivative of the function w(s) 7e + 8

A:

Q: use a CAS to perform the following steps:a. Plot the functions over the given interval.b. Partition ...

A:

Q: Calculus Question

A: sk=∑n=1kn(.1)n We have to find s9

Q: Use a graphing utility to graph the function and identify any horizontal asymptotes.

A: Given, the function                              Using the graphing utility to graph the function an...

Q:

A:

Q: Factor completely. 3x2 + 5xy2 + 2y4

A: Given 3x2+5xy2+2y4  We have to factorize it.

Q: Find the derivative using the limit process

A:

Q: The graph of f is shown in the figure. Sketch a graph of the derivative of f

A:

Q: Suppose that  f(5) = 1, f '(5) = 8, g(5) = −9, and g'(5) = 6.  Find the following values. (a)     (f...

A: Given, f(5)=1, f '(5)=8, g(5)=−9, and g'(5)=6       (a) (fg)'(5)=(f(5)g(5))' =>(fg)'(5)=f(5)g'(5)...

Q: The following figure show the shapes and dimensions of small dams. Assuming the water level is at th...

A: Concept: A parabola is a cure where any point is at an equal distance from a fixed point and a fixed...

Q: Find an equation for the tangent line to the curve at a given point g(x)= 4 divided x+3 ; P(-5,10)

A:

Q: In the original plan for area codes in 1945, the first digit could be any number from 2 through 9, t...

A:

Q: help 1-3 please

A:

Q: Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direct...

A:

Q: Use the technique to rationalize the numerator to the simplify the expression

A: We can use rationalization method here to simplify the given expression:-  where we multiply numerat...

Q: Model the data using an exponential function f(x) = Abx. x 0 1 2 f(x) 200 180 162 f(x)=

A: Consider the given table   x 0 1 2 f(x) 200 180 162  

Q: Use the given information as cot θ = 2, θ lies in quadrant III. to find the exact value of each of t...

A:

Q: Calculate the first four terms of the following sequence, starting with n = 1. b1 = 4, b2 = 2, b, = ...

A:

Q: How do I evaluate this limit?

A:

Q: If x1/3 + y1/3 = 4, find d2y/dx2 at the point (8, 8).

A:

Q: Solve the linear equation (use interval notation to express solution sets and graph each solution se...

A:

Q: The Washington Monument is 555 feet high. If you are standing one quarter of a mile, or 1320 feet, f...

A: Given Height of monument (H) = 555 ft Distance between monument's base and you = 1320 ft    

Q: Find the tangential and normal components of acceleration at the given time t = 1 for the space curv...

A: Given rt→=ti^+2tj^-3tk^t=1

Q: Solve the logistic differential

A: