Find the exact arc length of the curve x = (² + 2)¯ from y = 1 to y = 5.

Q: Fnd the gradent vector feld o S(2,9) = VEz+ y. Provide your answer below

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Q: Consider the function f(t) 9 sec?(t) – 9t?. Let F(t) be the antiderivative of f(t) with F(0) = 0.…

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Q: 1.) Find the area bounded by the region x = 4y + 4 and y= x+ 2

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Q: 1) Find the derivative of the following trigonometric expressions below. Please show all of you work…

A: A)y=sin x+ cos x -3x2dydx=ddx(sin x)+ddx(cos x)-ddx(3x2)dydx=cosx -sin x -6xB)y=-12…

Q: f (x) = x1.5 + 2x. We have Find the tangent line L(x) for f(x) near x = 4 and use the tangent line…

A: Consider a function f that is differentiable at a pointx=a.Recall that the tangent line to the graph…

Q: Sinx /2

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Q: EXERCISES answer page 338, letter B. (COPY & ANSWER) В. In exercises 1 to 8, refer to the triangles…

A: To answer the given questions using the given triangles. where hyp=hypotenus

Q: Find or evaluate the integral by completing the square. (Remember to use absolute values where…

A: ∫ (6x-8)dx/(x2 +2x+2) ∫ (6x-8)dx/(x2 +2x+ 1 +1) ∫ (6x-8)dx/((x+1)2 +1) ∫ (3(2x+2) - 14)dx/((x+1)2…

Q: Use the following theorem to evaluate the integral le - 4|dx. Theorem: Iff is integrable on a closed…

A: Given:     ∫-22ex-4dx Eliminate absolutes      =∫-22ln2-ex+4dx+∫2ln22ex-4dx…

Q: (7) If 4.5* = 97, an approximate value of x is (A)x = log(97) × 1.987 (C) x = In(97) z 4.575 (B)x =…

A: 7.    4.5x=97 Note:      Multiple questions are given, we are answer with only one question. if you…

Q: ven -5z'ydz - 2rzdy+ (z+ y)* dz where C is the helix parameterized by r (t) = (34, sin (t), con (t))…

A: To set up the given  line integral in terms of t.

Q: Using u = 2 + 2x*, then the integral x³(2 + 2x4)3 dx becomes 1 u3 du- 8 This evaluates as 1 1 8 12

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Q: Consider the following function: + 3x3 + 3x2 – 7x – 6 y x - 3 Find discontinuities and Maxima for…

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Q: Compute the derivative of the given function. f (x) = 2 ln x – vT

A: Given fx=2lnx-x To find the derivative:

Q: 2) Find the equation of the tangent line to the curve y = cos(2x+ at x =

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Q: An oral medication is absorbed into the bloodstream at the rate of  4e−0.04t  milligrams per…

A: Find the total amount of medication absorbed within the first 20 minutes

Q: Find the curl of the vector fleld F(z, y) = 9ye" i+2ejat the point (-2, 0). Enter an exact answer.…

A: F(x, y)=9y2 ex3 i +2x2 ey jcurl F→=∇×F→curl F→=ijk∂∂x∂∂y∂∂z9y2 ex32x2 ey0         =∂∂x(2x2…

Q: The​ half-life of a certain tranquilizer in the bloodstream is 45 hours. How long will it take for…

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Q: 1. Determine the type and stability of the critical points of the homogeneous systems: dx (a) = x –…

A: Solving

Q: Put 3s+4 (s-2)(s²+7) in partial fractions.

A: Inverse laplace transform of 3s+4s-2s2+7

Q: Let 7(t) = %3D Find a parametric equation of the line tangent to 7(t) at the point (– 321, 234,…

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Q: 1 1) [ (tan³ 0 + tan³ 0) e-tan º d0== 2 (-1)" n! (In x)" dx= (m + 1)"+1 ·

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Compute the derivative of each function. f(x) = [sin(4² + x)] [cos(x* + 4)] %3D

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Q: Given the conic section 4x^2 - y^2 - 24x - 4y + 28 = 0 do the following:   1. Write the standard…

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Q: Solve Nonhomogeneous Equations - Undetermined Coefficients (D^2 + D − 2)y = 2x − 40cos2x

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Q: Click an item in the list or group of pictures at the bottom of the problem and, holding the button…

A: NOTE: Refresh your page if you can't see any equations. . the given coordinate is  which means the…

Q: Step 3 We must also convert xõ dx into an expression involving u. Using du = 9x³ dx, then we get x…

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Q: Convert the Cartesian coordinates (1, 0) to polar coordinates. (1, 0°) (1, 90°) (0, 0°)

A: The cartesian coordinate is  x, y = 1, 0 To evaluate: The polar coordinate corresponding to the…

Q: ニ 2 2. dx | -r

A: The given integral  y=2∫-rrr2-x2dx  Can be solved using integration formulas given below…

Q: Sketch and use a double integral to find the area of the region R bounded by the lines: y = 0, y = x…

A: Graph of the given fucntions

Q: Evaluate the integral. 4 2х e dx 4 2x e dx = (Type an integer or decimal rounded to the nearest…

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Q: nsider the equation below. (If an answer does not exist, enter DNE.) f(x) = x3 – 6x2 – 15x + 3 (a)…

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Q: Find a formula for the total maintenance cost during the first x years. (Total maintenance should be…

A: Follow the procedure given below.

Q: If f(3) = 15, f' is continuous, and I f'(t) dt = 24, what is the value of f(4)? %3D

A: In this question, f is a primitive function and we have to find f(4). So I am providing the…

Q: 3 2 3. Vxydydx = Vxdx Vydy Select one: O True O False

A: This question is related to double integral , we will solve it using given information.

Q: Q.2 - Use the Riemann sum approximations to approximate the area under the curve of y = x on the…

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Q: Because of an insufficient oxygen supply, the trout population in a lake is dying. The population's…

A: The population's rate of change can be modeled bydpdt=-130 e-t30, where t is the time in days.

Q: 2x2 1) Given: f(x)= 48(3x +16) f"(x)=- (² –16) -8 -48x s'(x)=: (x² -16) x-16 a) Determine any…

A: Given: f(x)=2x2-8x2-16f'(x)=-48xx2-162f''(x)=483x2+16x2-163

Q: does ln(inf)/(inf)=0

A: the statement is false see below the explanation

Q: Find the curl of the vector fleld F(z, y, 2) = zi+ 8'y=²j+2rk. Enter your answer in standard unit…

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Q: d²y and dx2 Find dy then simplify whenever possible. dx 1) y = 3t5 – 2t x = 4t3

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: A ball is shot from the ground straight up into the air with initial velocity of 42 ft/sec. Assuming…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: By using the cylindrical shells method we have to find the volume.

Q: an onine SOcial group nad 3o0 miion Tme uently, new me m(t) = -3.3t2 + 14t + 230 million members per…

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Q: Convert the polar coordinates (2, 57) to Cartesian coordinates. O (1, -V3) O (-1, v3) O (-V3, 1)

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Q: The graphs show the position s, velocity v = ds/dt, and acceleration a = d²s/dt2 of a body moving…

A: The graphs show the position s, velocity v=dsdt, and acceleration a=d2sdt2 of a body moving along a…

Q: Given the vector-valued functions - 4t ü(t) = e-i+ e-j – tk ö(t) = tỉ – 4tºj + 3k -21 %3D (i(t) ·…

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Q: What is the volume of the region R = ((x. y, z) e R'1 sxs 3:2 sy S 4:3 sz5 5)? %3D Select one: O…

A: Volume of the region R is given by volume=∫13∫24∫35dzdydx

Q: Put 3s+4 (s-2)(s²+7) in partial fractions.

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Q: (4/3,4) to polar coordinates. Convert the Cartesian coordinates O (4, 30) (V42, 150) (8, 30)

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