(CLO-3) Find the area between the curves y=12-x2 and y=x²-6-

Q: Particular solution of y" - 5y'=x-2, when x = 0, y = 0, y = 2

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Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(2,0,2) on the…

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Q: Given R(t) = 4 costi + (1+3cost)j +5sintk. Find || R'(t)||. 5 O 4 O 2 O none of the above

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Q: Find the equation for the tangent plane and the normal line at the point Po(1,1,3) on the surface…

A: Given problem:- Find the equation for the tangent plane and the normal line at the point Po(1,1,3)…

Q: Find the difference quotient x) = 2x² + 3x 2 - f(a+h)-f(a) h where h 0 of

A: Given query is to find the difference quotient.

Q: Consider the function 2r²-9r-18 f(r) r²-r-2 (a) Sketch the curve y = f(r). (b) Find the area of the…

A: Here we have to find the area under the curve

Q: 1. Is a function f(x)=√x differentiable at a) X = 1 b) X = 0 c) X = -1

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 16+29

A: Given :16+29

Q: 6.0 A force of 20 lb stretches a spring from a natural length of 7 inches to a length of 12 inches.…

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Q: 1. Evaluate the given integral Q. Q 2= 1 L (₂² (x² - y) dy dx Your answer 2. Sketch the region of…

A: In the given problem first we sketch the region of integration for Q and then reverse the order of…

Q: This question is designed to be answered without a calculator. A farm has a rectangular pigpen that…

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Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

A: As per guideline we can answer only one question, Please repost other question.

Q: Write an equation for a rational function with: Vertical asymptotes at x = 6 and x = -4 x intercepts…

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Q: M8 1 Σ n=1 h n’ + 8 +8 3

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Q: Consider the functions z= - ex In y, x= In (u cos v), and y = u sin v. dz dz (a) Express and as…

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Q: {CLO-3} The function f(x)=2x4-4x² has a local maximum at x=-1; and a local minimum at x=0 has no…

A: Topic:- application of derivatives

Q: The displacement (in meters) of a particle moving in a straight line is given by s= t2 - 5t + 16,…

A: We want to find average velocity.

Q: Find all critical points of the function f(x) = 4x² 3x²-2x+12

A: Here we have to find the critical points.

Q: 6) (-2√2,2√2) 3 3√3 8) 2 10) (-2,-2√3)

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Q: Find y (2) if D.E. 2 dx +3y=sin 2x₁ y(0) = 6

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Q: 3. Suppose a function H(t) is given and that this function describes the height H of a projectile t…

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Q: (4) Σ=o (−1)n+7 n2+3 1/1

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = xy + yz + zx,…

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Q: 5. y" + 8y + 16y = 0

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Q: Sketch the graph of the piecewise defined function: f(x) = 2, x ≤ −1          x − 1, x > −1

A: Given  f(x) = {2,   x≤-1              x-1, x>-1}

Q: 2) Given the vectors a-[4, 2, -6], b-[6, -3, 2], and c-[-5, 0, 4], simplify the following vector…

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Q: Let R be the region inside the polar graph labeled "Inside" and outside the polar graph labeled…

A: We will find the region R covered from inside by r=8 and outside with curve r=-8+8sinθ.

Q: Assuming that z is a differentiable function of x and y, use implicit differentiation to find…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: If repetition is not allowed, in how many ways can we arrange ♣, ♠, ♦, and ♥ a) four at a time? b)…

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Q: A cylindrical can is to be designed with a capacity of 1000 mL. Find the dimensions of the can,…

A: Given problem:- A cylindrical can is to be designed with a capacity of 1000 mL. Find the dimensions…

Q: Given the function below f(x) = √-324x³ + 1053 Find the equation of the tangent line to the graph of…

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Q: The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…

A: Let the length of a diagonal is = d1=x m So the length of the other diagonal = d2=(x+2) m. Given…

Q: Evaluate each limit if exist lim x -> 0 (\sqrt(x+7)- \sqrt(7-x))/(2x) lim x ->3…

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Q: The doubling time of an investment is the amount of time it takes to double in value. If an…

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Q: EC) Find the average value of the function f(x,y)=²+2x+3y-15 over the rectangular region R=…

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Q: 9. f(x) = xe−2*, a = 0

A: According to bartleby guidelines I can only answer the first question of the two given.

Q: dy Assuming - 2x³ + 8y² + 6xy = 0 defines y as a differentiable function of x, use the theorem dx dy…

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Q: n³r" Find the radius of convergence for the series 1 3⁰ OR= =/3 OR=1 OR=3 OR=1/ R = ∞

A: According to our guidelines we can answer only one question or three subparts of a question. Other…

Q: 1- Use the shell method to find the volume of the solids generated by revolving the shaded region…

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Q: 6.) Find f/g and its domain. 3 f(x) = = - — 9(x) = x+1 X 2 χ

A: Domain - Set of values of x for which functions is defined.

Q: Find the radius of convergence for the series 3 n³ xn 3n OR=3 O O OR= 8 n=1 R = R= - الله R = 1 8

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Q: to find the aren ruse 2) Use a polar integral enclosed by the three-petaled r = singe

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Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

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Q: 3 − 4 + 16 - 64 + ...

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Q: Evaluate the integral. π/2 sin³ 0 cos²0 de 3

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Q: f) y = sin-¹ (x² - 1)

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Q: Perform bisection method on approximating the root of the equation x³ + x²-x + 7 = 0. Use initial…

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Q: 5x-2 Find the member of the curve whose slope at any point is y+s point (3, 2) and passes through…

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Q: 2t³ = A particle moves along a straight line and its position at time t is given by s(t) s is…

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Q: Əw Given w = xysin(z²), x=s-t, y=s², z t². Find Əy əw ду = y sin z ² Option 1 O Option 3 aw = x sin…

A: Topic:- derivatives