Area inside the circle r = 3 cos 0 and outside the cardiod r = 1+ cos 0

Q: 1. Given: x(x+8)(x – 2) (x+ 2)³ 8(7x – 4) (x+2)ª ° f(x) = (x+ 2)² ' and f"(x) = with f'(x) = d.…

A: Function is undefined at x= -2   Interval f' (-∞, -8) +ve -8 0 (-8, -2) -ve (-2, 0) +ve…

Q: Find the Volume y=0, y= 1/x, x=1, x=4 revolving at the x-axis

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Q: If −8cos2θ−4=−12, where 0≤θ<2π, what are the values of θ?

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Q: The equation x10 – 10x2 +5 = 0 has a root in (0, 1) Select one: True False

A: We want to check true or false.

Q: If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) =…

A: Average Cost = C(x)x. Marginal Cost = C'(x)

Q: Find the limiting values of 3x2 + 5x - 4 (i) as x → 00 5x? - x + 7

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: - The rate of change of the monthly profit for a new company is given by the function P'(t) = 200VE…

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Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

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Q: Evaluate. 20) X +9 -dx X +5

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Q: Find the dimensions of a rectangle (in m) with area 216 m2 whose perimeter is as small as possible.…

A: We have to find the dimensions of the rectangle.

Q: Find the derivative of the function. f(u) = u7e−u

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Q: Consider the following. 1 ifx = if x = 1 x²- 1 F(x) =

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Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 sts 1. (y - x) dx +…

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Q: Evaluate the integral. (Definite Integrals 6 r dr 15) V16+ 3r2

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Q: 5. Use L'Hospital's rule to compute the following limits (a) lim a In(x) (b) lim sin(z) (c) lim…

A: Here are the solutions: We will use L'Hospital rule and differentiate the numerator and denominator…

Q: Given ú x ở = (2, 3, – 3), find (ủ – 4v) × (ú + 3v).

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Q: O Find all velues of sx for whEu tue serics Converjes. for these alues of l, wnte tue sum of tue…

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Q: 86 10. 24 abe 2:4:3 9.

A: Answer 9 but given information in question 10 is incorrect

Q: Given that Vf (5, -4) = 8 i – 7j, find the directional derivative of the function f at the point (5,…

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Q: Find the fifth term of the geometric sequence from the given information. Express the term as an…

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Q: Refer to the graph in the textbook. If x screwdrivers produced in thousands, and y represents the…

A: The total cost of producing 20 thousands of screwdrivers is 20,000 dollars

Q: 4x+10 J (x-2)(x²-2x+1)

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Q: Let i = (– 4, 4, 5) and i = (6, – 3, – 2). %3D • Hint

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Q: 164 24 7. 8. 88

A: Given

Q: Thìnking. Inquiry. Problem Solving.[11] (3] 13. Find the equation of the following graph. Give your…

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Q: dx Ifz = x + y = -2, dt dy = 3, and z> 0, find dt dz at (x, y) = (4, 0). dt Please give an exact…

A: We know that derivatives power rule is  d(xn)/dx = nxn-1 Here i attached the solution of this…

Q: Find the area between the curve f(x)=x^3−110 and the​ x-axis from x=1 to x=3.

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Q: Let å = (– 4, 0, – 5) and b = (– 4, 1, 3). Find the angle between the vector (in radians)

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Q: Graph the solution set of the system of inequalities. + y?s9 X22 y20 y 10 1아 1아 1아 -10 -5 10 -10 -5…

A: This question can be solved by applying the concepts of drawing the graphs of inequations.

Q: (x³ +2x)" Find dy/dx, given the following: y = V2x-4 (2³ +2x)“ V(2r–4) 17 -36a²+10x-24 %3D (2x–4)²…

A: Quotient Rule of differentiation :  ddx (uv) = v.dudx-u.dvdxv2. dxndx=n.xn-1

Q: 2 f(x) =-x³ + 3x² +9x (a) Find the critical points, extrema, and y int. (b)find intervals where the…

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Q: A Finding Horizontal Asymptotes In Exercises 89-94, use a graphing utility to graph the function and…

A: Given query is to find the graph of the function and horizontal asymptote.

Q: Use a trigonometric identity to find cos (x - 5) if sin (x) = (Express numbers in exact form. Use…

A: Given,            sinx=67To find : Find cosx-π2.

Q: lim 1 1-x = 2 Select one True False

A: We can check it true or false as below.

Q: Find the distance between the parallel planes – 2x + y + z = 0 and - 10x – 5y – 5z – 11 = 0. - NOTE:…

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Q: 3. Use a sign chart for f" to determine the intervals on which each function f is concave up or…

A: As per our guidelines we are supposed to answer only first three subparts of a question. Kindly…

Q: x dx (7x2 + 3)

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Q: 3 Assume that sin (x) = and sin (y) = -, where < y < 2x. Calculate the indicated function value. <x…

A: We can find sin(x-y) as below.

Q: Question Find the critical points of the function 2 + 32x2. 5/2 f(x) =

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Q: 3. Find the Volu me oF the (olid generated by revoluin g ab out the y-axis the region bounded the…

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Q: Show that the lines L1 : x = 2 – t, y = 2t, z = 5+t and L2 : x = 1+ 4t, y = 3 – 8t, z = 5 – 4t are…

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Q: Sa413 - 3x5/2) dx x4/3, 5)

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Q: dy A9. If xy- cos x = 1, then dx シーsinx ソ+cosx -y+cos x y+sin x (b) (d)

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Q: Finding a Limit In Exercises 11-28, find the limit. Use a graphing utility to verify your result.…

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Q: Find the dimensions of a rectangle (in m) with area 216 m² whose perimeter is as small as possible.…

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Q: Assume s is an angle with sin (s) = .t is an angle with cos (1) =. and both angles are between 0 and…

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Q: Siven f(x, y) = 4e3" sin(3y) hen Vf(0,5) = 2 Question Help: DVideo MMessage instructor Add Work…

A: Given query is to find indicated derivative

Q: 05 1 15 2 25 3 3.5 1.5 0.5 -0.5 -1 -1.5 -2 Identify the equation of the surface. Oæ = y? O r = 2 y =…

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Q: Find the particular solution determined by the initial condition. f'(x) = 3x273 - 6x; f(1) = - 7…

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Q: Solve the differential equation. dy 3 2x – 0, y = 3 when æ = 1 dæ Using x^2 for r?. O y=x^2+x^{-3}+1…

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