Evaluate the limits of the following. State the theorem(s) used. x²³ +8 lim x+2 x+2

Q: The force F (in pounds) on a person's back when he or she bends over at an angle from an upright…

A: The given model is: F=0.6W sinθ+90°sin(12°) where W represents weight of the person in pounds.

Q: Use Green's Theorem to evaluate the line integral. S y² dx + xy dy C: boundary of the region lying…

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Q: Find the arc length of the graph of NOTE: Enter the exact answer. L = r(t) = √²ti + e-√²tj + 2tk, 0≤…

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Q: Solve the initial value problem. Y 6 dy dx 2xy = 8x, y(0) = 5

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Q: Activity 2.2 For the given function sketch the graph; determine if f is continuous at xo and…

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Q: Find T(t) and N(t) at the given point. (7) = N() = = T r(t) = 11 cos(t)i + 11 sin(t)j + tk; t = K|2

A: Given,…

Q: A 1500-L tank is initially filled with a solution that contains 3000 g of salt. A salt solution with…

A: This question can be solved using the concept of differential equation.

Q: Convert the rectangular equation to polar form. xy=14

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Q: Prove the identity. (secx+1) (secx-1)=tan ²x Note that each Statement must be based on a Rule chosen…

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Q: differentiate using delta method y= x2-6x+8

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Q: An open box is to be made out of a 12-inch by 14-inch piece of cardboard by cutting out squares of…

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Q: Find the nth Maclaurin polynomial for the function. f(x) = ex, n = 5 P5(x) =

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Q: C: rectangle with vertices (0, 0), (2, 0), (2, 3), and (0, 3)

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Q: Solve for the solution of: (D2 - 4)y = 8e2x - 12

A: Given problem:- Solve for the solution of: (D2 - 4)y = 8e2x - 12

Q: A metal plug has been designed using the intersection of the two cones z = √√x² + y² and √x² + y² +…

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Q: Solve the D.E ý - 25 +2y = 2X+3

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Q: VI. Write TRUE if the statement is correct, otherwise write FALSE. There is no need to justify your…

A: Find your answer below

Q: Solve for the derivative of the following trigonometric functions. 1. f(x) = e3x 2. f(x) = x³ ex 3.…

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Q: Find the limit of the trigonometric fur lim cos (5) 248

A: answer is in next step

Q: Use Green's Theorem to evaluate the line integral √(x - (y - x)dx + (2x - y)dy for the given path.…

A: Let's find.

Q: Replace the polar equation with an equivalent Cartesian equation. r= 40 sin 0

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Q: Find all solutions to the equation. sec²x + tan x = 1 Write your answer in radians in terms of , and…

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Q: Use the figure to derive the formulas for sin sin(). = $(€). [ COS tan TOIN cos e 6 (2). sin 0 cos…

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Q: A tank is full of water. Find the work required to pump the water out of the spout. Use the fact…

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Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

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Q: 6. 2x³ cot x4 dx 7. S x4 sec (x5 - 9) dx 8. Stan ³ x dx

A: We can solve this as follows:

Q: evaluate the limit, do not use lhopital's rule 1-x+2x+7 limx→-x 2 V 9x +5 - 3x

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Q: 2. Find the area between the curve y=-x and y+x²= 2x.

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Q: Use Newton's Method to approximate the zero(s) of the function. Contine Rx)-x+2.7x² +3.55x-2.422…

A: answer is in next step

Q: k1 (k+ 1)².4k ak+1 lim ||

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Q: 7. Using differential, approximate (8.01 ) correct to 4 decimal places. 8. Use differential to…

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Q: Evaluate: lim (cos x)=¹2 X x → 0

A: Since the numerator is positive and the denominator x^2 approaches zero and is greater than zero for…

Q: . DO NOT SIMPLIFY YOUR ANSWERS. - 1. log₂ 19²( √/2x² + y) + tan(x² − x²) = sin^¹(x² − 1) + ² Find d

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Q: 12. Prove that the intersection of any family of normal subgroups of a group (G, *) is again normal…

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Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs x = y³ and x = y…

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Q: Use the following binomial series formula to obtain the MacLaurin series for ∞ (a) (1+z) k=0 (b) √ 1…

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Q: 5x²³-4x²+3x LX Find the most general antiderivative of the function: f(x)=-

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Q: Match the vector field with its graph. F(x, y) = yi 址 四 場 x Q 6 電

A: F(x,y)=yi So at any point vector magnitude is same as y-cooridnate Also, if y is negative [below the…

Q: Find T5(x): Taylor polynomial of degree 5 of the function f(x) = cos(x) at a = 0. T5(x) = = Using…

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Q: Find the length of the curve. 1² (2t+1)³/2 X= 2 3 The length of the curve is 1, y = 0≤t≤2 (Simplify…

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. 11 ["||ti + 1²i||dt = |

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Q: III. Find a set of equations of the line passing through (4,2,-1) and parallel to the line of…

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Q: Find the two x-intercepts of the function f and show that f'(x) = 0 at some point between the two…

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Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: 3 find the values of az/ax and az/ay xe³+ ye² + 2 lnx-2-3 In 2 = 0, (1, In 2, In 3)

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Q: Determine the interval of convergence for the series 2¹.¹. n=0 The series converges on the interval…

A: This is a geometric series with r=2x.

Q: find the total differential dz. xety

A: dz=∂z∂xdx+∂z∂ydy ---->1Consider z=xex+ythen∂z∂x=ex+y+xex+y∂z∂y=xex+y

Q: Find the average value of ƒ(x) = x² √√28 + x² on the interval [0,2]. favg= Report all answers…

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Q: Find the curvature and the radius of curvature at the point t = 0. x = e cos(t), y=e¹ sin(t), z =…

A: Let's find.

Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs of y = 27 - x, y…

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