12(a) sketch the Cardioid Ө r=1+ cos 0 b) Find the area of the region inside the cardioid r=1+ cos 0, be outside the circle r= 1, Make sure you have the correct bounds for G, r.

Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula…

A:

Q: Vector-valued functions (VVF) VVF Point P t value (for point A) r(t) = ½t²i + √4 − t j + √t + 1k (0,…

A: The objective of the question is to find the domain of the given vector-valued function, find the…

Q: On what interval(s) is the function f(x) = x9= 9x8 + 17 both increasing and concave up? (Enter your…

A: Given the function

Q: solve using The Method of Partial Fractions

A: x−2−3​+x−35​Explanation:If you have any problem let me know here in comment box for this thankyou.

Q: ← The position of a particle in space at time t is r(t) as shown below. Find the particle's velocity…

A:

Q: find all the values of a such that y=xa is a solution of yII-12x-2y=0

A: The objective of the question is to find the values of 'a' for which the function y = x^a is a…

Q: f(x) and (f'(x))² into the surface area equation above to find b Surface Area = Lº 2π. = a 5 5 2π…

A: To explain how was the 2 used from 2pie. How is it determined the 2 is needed, when in other cases…

Q: Please don't provide handwritten solution ....

A: The objective of this question is to find the distance between airports A and C. This can be solved…

Q: Evaluate the derivative of the given function at the given point. y = 2x³-3x² + x + 8; (1, 8)

A:

Q: Write out the general form of the partial fraction decomposition of the function (as in Example 7).…

A:

Q: 3. Let f(x) = (x)* where a is any number where a > 0. a. Use Logarithmic Differentiation to find the…

A:

Q: Question Set up an integral that represents the surface area of the surface generated by revolving…

A: Given that the graph of  around the  - axis over the interval here needs to set up an integral that…

Q: #4 Find the limit or show lim y²-x² that it DNE (Gy)-> (11) y x y ³

A: Answer is 2Explanation:

Q: proved dy 2(x+1) ax if y = x²+x-10 x-z

A:

Q: = 4. Find the linear approximation of the function f(x, y, z) = x² + y²+z2 at (3, 2, 6) and use it…

A:

Q: 3 In Exercises 5 and 6, let f(x) = x³ + 2x + 1, and assume that f-1 exists and has domain (-∞, ∞0).…

A: Please refer below page.If you have any doubts please feel free to ask.Explanation:Step 1: Step 2:…

Q: Consider the vector whose initial point is P(3, 1) and terminal point is Q(4, -6). Find the position…

A:

Q: Find a vector v with initial point (-4, 0, 3) and terminal point (-3, 5, 7). Then find a unit vector…

A: Two points are (-4,0,3) and (-3,5,7)Find the vector v and unit vector.

Q: Csc (2x)-2=o Four smallest solutions

A: Given that the equationcsc(2x)-2=0 we have to find the solution

Q: f(x)=√x-2 if x>-1; f(-2) 1-(x-2) ifx ≤-1

A: To find f(-2) , substitute x= -2 in the corresponding function.

Q: (a) Domain of f(x). (b) r-intercepts and y-intercepts. (c) Vertical asymptotes and holes. (d)…

A: Here we have given a function: .

Q: Let f(x, y) = x³y and c(t) = (t², t³) (a) Calculate: Vf. c'(t) = (b) Use the Chain Rule for Paths to…

A:

Q: Determine whether each of the following integrals is proper, improper and convergent, or improper…

A: Note:-Since you asked multilple subparts questions, according to our policy we can solve only first…

Q: Evaluate the integral: 11√√x²-100 dx x4 (A) Which trig substitution is correct for this integral? Ox…

A:

Q: Question 9 Use the given information to find the exact value of the expression. sin α = 1, & lies in…

A: Ans : B  = 25−6+421​​Explanation:Explanation:

Q: A polar curve is given by r = 5 (3-cos(e)) What is the slope of the tangent line to the curve at 0 =…

A:

Q: Let h(x)=√(-4(t-2)² +8)dt. Where does h(x) have a relative minim

A:

Q: Let u = 4u + 5v (9, -2, -8) and v = (4, −3, −1).

A: The required solution is:<56,-23,-37>Explanation:

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about th…

A: Given the region is bounded by the curve  and line

Q: (sin (sin x - - 6 cos x) dx

A:

Q: -312-6x+5=-10

A: The given equation

Q: The resale value R (in dollars) of a particular type of laser cutting tool t years after its initial…

A:

Q: (d) Horizontal asymptotes. (e) Intervals where f is increasing and decreasing. (f) Local minima and…

A: Given: To Find: To determine the following: (d) Horizontal asymptotes(e) Intervals where f is…

Q: (f'(x))² = 4 (52 – 8) - 25 = 20x 32 (f'(x))2 into the surface area equation above to find Surface…

A: To show

Q: Estimate the area of the surface generated by revolving the curve y = cos(2x), 0 < x <- x-axis. Use…

A:

Q: Find the length of the curve over the given interval. r = 16cos0, - 77 ≤0≤77 Π 2 505 Select one: a.…

A: ​ length of the curve =16π​Option (b) is correct.Explanation:Step…

Q: The management of a large chain of frozen yogurt stores in New England believes that t days after…

A:

Q: If z = tan (金) and x = u² + v² and y = u² – v², find the - following partial derivatives using the…

A: Formula for the total partial derivative is given as follows

Q: Q7 Continuity 1 Point Let f(x) = x - 1 if x 1 x22x3 - 2x if x 1 Find the value of c for which f is…

A: for c=49​  f(x) is continuous Explanation:Step 1:Step 2: Step 3: Step 4:

Q: Given the graph of f(x) at the left, determine the following: a. f(6) = b. lim f(x) = C. x-2 lim…

A: The answers are as follows: a.  f(6)=4. b.  limx→2​f(x) does not exist. c.  limx→6​f(x)=2. d.…

Q: Suppose z = x² sin y, x = s² + 3t², y = 6st. Əz Əz A. Use the chain rule to find oz and 0 as…

A: Suppose .(A) By using chain rule to find  as functions of .(B) To find the numerical values of  when…

Q: Let ā = - -71 – and 6 = −41 – 57. Find a. b -

A: Required answer is 33Explanation:

Q: Find the points of intersection of the graphs of the equations. Ө r= and r= 1.8 1.8 Select one: O a.…

A: The correct option is (d). (1 . 8 , 3.24).Explanation:Step 1:To find the point of intersection…

Q: Could someone help with a b c and lay it all out please

A: Parts a,b, and  c are solved.Step by step explanation is provided. For part (a) domain is set of…

Q: K You want to build a 1000 square foot rectangular infinity pool. Three of the sides will have…

A:

Q: 3) An adult human at rest inhales and exhales approximately 520 ml of air (called the tidal volume)…

A: An adult human at rest inhales and exhales approximately 520 ml of air (called the tidal volume)in…

Q: 5) If f(x)=6x sin" '(x), find' (x) f'(x)= Find f'(0.7) f'(0.7)= 6) Evaluate the integral S 0.8 dx…

A:

Q: Find four intervals on which f is one-to-one, making each interval as large as possible. Four…

A: Given graph of function f(x) to find the intervals on which f is one to one

Q: The derivative of the [Select] of two functions is the first times the derivative of the second,…

A: Consider that have two functions and . The product rule states that:where:- and are the two…

Q: 2. [6 pts.] Evaluate lim f(x) and lim f(x) for the function: f(x) xx (Hint: the limits will be…

A: Limit at infinity = 1 Limit at - infinity = 5Explanation:Step 1: Step 2: Step 3: Step 4: