Evaluate the Following limts 9-X VX-3

Q: The entire graph of the function f is given below. Round your answer to the nearest integer, if…

A: Relative maxima is the largest point in interior of the domain.

Q: x - 1 y + 1 4x + 5y = 10, - -z - 7 = z - -4 х, у, г) - Determine whether the line lies in the plane.…

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Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx² + y²,…

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Q: Find the dimensions of the cone of maximum volume inscribed in a sphere of radius 8 cm. [Note:…

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Q: Quly Please Solve the tollowing the paots of gntegoation dt 2 t#3 2t+1 dt (モ+4)t+2) (= हवंये स

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Q: Determine the points of inflection for the function y = 2x' – 3x² –12x+2 (show an interval chart or…

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Q: Find the area of the paralielogram PQRS if V(PQ) = 3i– 2j and V(PS) = 3j + 4k.

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Q: Exercise 3:a Express an inequality statement that relates mz1 and m2. В 6 D A, 18 12, 18

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Q: Find the value of the summation. 3 E+3)3D

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Q: Show that the quadrilateral having vertices at (1, 1,3), (-2,1,-1), (-5,4, 0), and (-8, 4,-4) is a…

A: This is a problem related to area of the parallelogram by cross products. Based on the general…

Q: b) The general term of the sequence 21 35 49 63 20' 35' 50' 65 is of the form an+b an cn +d…

A: The given sequence,2120, 3535, 4950,6365,....

Q: 25. Prove analytically that the four diagonals joining opposite vertices of a rectangular…

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Q: Evaluate: (8t3 – 9t2 + 7)dt -

A: Topic = Integration

Q: b) and 10 inches. Find the dimensions of the rectangle with the greatest area assuming the A…

A: Given problem:- A rectangle is to be inscribed in a right triangle having sides of length 6 inches,…

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: . What is the largest area of a rectangle that could be inscribed in a semi circle having a radius…

A: We have to find largest area of rectangle that can be inscribed in a semicircle having a radius of…

Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

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Q: Use the third derivative test to find the inflection point(s) (if exis 8 function f (x) = x5 - x³ +…

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Q: Find the orginal function of this A Fx) =-1 (B) Frz)= X +1 ニー re Fez) s -x+3 tan x - sec3x

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Q: In what way did theorems/techniques of antidifferentiation help you find the integral of a function?

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Q: Evaluate x +1)?dx = [{(x+ 1}dx+ f{(x+ 1}°dx %3D

A: ∫13x+12dx=∫12x+12dx+∫23x+12dx⇒563=∫12x+12dx+∫23x+12dx⇒563=193+∫23x+12dx⇒563=193+373

Q: Find the limit. Use l'Hospital's Rule if it is appropriate. If there is a more elementary method,…

A: Using L'Hospital method, this can be solved very easily. So, I have use that only.

Q: | (u + 2)(3u + 4) du :

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Q: S 3n? + 2n + 1 n2p-1 + 137 n=1

A: The given series is: ∑n=1∞3n2+2n+1n2p-1+137 Let, an=3n2+2n+1n2p-1+137, bn=n2n2p-1=1n2p-3; n≥1

Q: Evaluate the tolloW ing limits と-1

A: =limx→1  x-1x2+x-2=limx→1  x-1x2+2x-x-2=limx→1  x-1x(x+2)-(x+2)=limx→1  x-1(x+2)(x-1)=limx→1…

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ - y, P(6,…

A: The given function is: f(x,y)=x3-y3 Now,  ∇f=∂f∂x,∂f∂y=3x2,-3y2∇f(6,5)=(3(6)2,-3(5)2)=(108,-75)

Q: Find the area of the triangle having vertices at (-2, 3, 1). (1, 2, 3), and (3,-1, 2).

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Q: If f (x) dx = 5, | f (x) dx = 3, and f (x) dx = 12, then f (x) dx :

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Q: dV = 0.6t · cos(0.08t² – 1) , where V(t) is in dt 10) The rate of change in the volume of a tank is…

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Q: Why does this work? If we have the curve in the xy-plane: F (x, y) = 0, then why is the implicit…

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Q: 4ay = x2, and y = x + 3a

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Q: If f(x) dx = 2 and f(x) dx = 7 then f(x) dx equals a -4 b. 4 -5 O O O

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Q: (x y – z z + 3) +(y 4 3) = (4 8 16)

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Q: Evaluate the following. Show your complete solution (Handwritten).

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Q: Given the following acceleration function of an object moving along a line, find the position…

A: We can find the position function as below

Q: Find the absolute maximum value of f(x) = x2 - 2x + 6 over the interval 0, 4

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Q: Compute/o . Show your work.

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Q: - 5 2x +1 Calculate the derivative function of g(x) Write your result as a single fraction. g'(x) ||

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Q: CoSx dx sin2x-5sinх-6

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Q: Given the information below, estimate the total distance travelled during these 6 seconds using a…

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Q: Write the equations in cylindrical coordinates. (a) 7x2 - 8x + 7y2 + z2 = 7 (b) z = 2x2 – 2y²

A: We have to find cylindrical form of the given equation.

Q: Suppose that a particular function f satisfies f" (x) = 12x? + 6x + 8, ƒ(0) = 1, f' (0) = –1. Then…

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Q: Find the determinant of the matrix, a b d e 5g 5h 5i where a b f = 7. h e

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Q: Find the inverses of the following matrices. You can use any method you like, and check your answer…

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Q: person in a boat is 24 km from a shore and wishes to reach a point 20 km down shore (from a point…

A: person in a boat is 24 km from a shore and wishes to reach a point 20 km down shore (from a point…

Q: evaluate the following limits (x+3)3-27 limy -20

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: find the absolute max and absolute min points for the function f(x) = (2x^4)-(16x^2) + 15  domain…

A: To find the absolute max and absolute min points for the function fx=2x4-16x2+15 and the domain is…

Q: Find the derivative of the function y = In(5e – 9xe "). y = ||

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Q: 3 Represent the function as a power series f(x) Cn x" (1 – 5x) n=0 Co C2 = C3 = C4 = Find the radius…

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Q: y = sin* 3x – cos* 3x y = csc* x – 21 cot?x y = cot sin

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…