Consider the following. x = 3 cosh(t), y = 2 sinh(t) (a) Eliminate the parameter to find a Cartesian equation of the curve.

Q: 6.0 and a are each acute angles in standard 12 13 position. sin0 = and cosa = 3 5 a. Determine cos(a…

A: We need to determine given angles.

Q: Consider the Gompertz equation, a modification for logistic growth, which is often used for modeling…

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Q: Evaluate the following integral or show that it is divergent. 0 -√x VX dx

A: Explanation of the answer is as follows

Q: here are two regions bounded by the line y=x and the curve y=x^3, one in the first quadrant and…

A: Given problem:- There are two regions bounded by the line y=x and the curve y=x^3, one in the first…

Q: 5. The height of a chair on a Ferris wheel is described by the function h(t) 15cos(t − 4) + 18 where…

A: Let's find possible height of ferris wheel.

Q: -4 Challenge #1 y = 2x 0 Adjust the equation so the exponential function passes through the points.

A: topic- exponential function

Q: The graph represents the reciprocal function of f(x). What is the equation of f(x)? <-5-4 A f(x)=2x²…

A: Here we have to choose the correct option.

Q: Evaluate the following. √ √x- x - 4y + z ds S: z = 14 - 3x +9y, 0≤x≤ 6,0 ≤ y ≤4 Part 1 of 4 To find…

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Q: Find the derivative of f(x, y) = e- x ln(y² + 1) at the point R(4,0) in the direction of w = (2, 1).

A: NOTE: Refresh your page if you can't see any equations. . the given vector is find the unit vector

Q: Given the initial condition y(0) = 2, find the particular solution of the equation exy' - 2x = 0…

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Q: question 15 please

A: Topic:- integration

Q: to the graph above, which of the following statements is correct: x) changes sign from + to - x) > 0…

A: Topic:- calculus

Q: Find an equation of the plane with the given characteristics. The plane contains the y-axis and…

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Q: 5 1 So (125 + 25x + 6) dx 6o S X (1 + x²)3 dx / 1 + x² dx 1

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Q: 24. g(t) = t³ + 4t

A: Solution: g(t)=t3+4t The derivative of g(t) with respect to t is defined as limh→0f(g+h)-f(g)h

Q: Use Stokes's Theorem to evaluate F(x, y, z) = yzi + (2 − 6y)j + (x² + y²)k, x² + y² ≤ 49 S: the…

A: Let's solve part 2.

Q: Find the curl of the vector field F. F(x, y, z) = (2y - z)i + e²j + xyzk

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Q: • [√x S: z = 8x, 0≤x≤ 8, 0≤ y ≤7 Evaluate (x - 2y + z) ds.

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Q: If cos² 9x sin 91 = cos B, then B =

A: Given Problem:- ifcos29x-sin29x=cosBthen find B

Q: 5). Consider the Gompertz equation, a modification for logistic growth, which is often used for…

A: we have to draw the directional field.

Q: The integral sin(x - 2) dx is transformed into fg(t)dt by applying an appropriate change of…

A: Given :- ∫02sinx-2dt  is transformed  into ∫-11g(t) dt

Q: (D²+4D+5)y=35e : y(0)--3, y'(0)-1

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Q: Determine the area bounded by y²=x+1 and y=1-x

A: Solution of given question is written in below steps.

Q: lim t→∞ - 4t9 t² - 9t + 5

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Q: √9-x Consider the following double integral 1 = So So By reversing the order of integration of I, we…

A: Mark the limits on the graph and then reverse the order

Q: 1 C 16 A 3 2 -1 -2- -3 -4 -5 1 V = 2 The graph above shows the base of an object. Compute the value…

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Q: -4 -2 12- -8 -4 0 2 -N What is the equation of the graph shown here? 4

A: Let's find equation of given graph.

Q: education. He has found a bank that will pay 9 percent interest compounded continuously. How much…

A: Topic:- algebra

Q: 4. Use the Fundamental Theorem of Calculus to evaluate [(-3) -

A: The objective is to find the integral using fundamental theorm.

Q: Use the Laplace transform to solve the following initial value problem: y" - 6y +9y=0 y(0) = 5, y(0)…

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Q: Evaluate:L{e-3t} = ! Blank 1 Blank 1 Add your answer

A: Let's find laplace of given function.

Q: 2,0 Va Find the formula for f. f(x) = 0

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Q: 4. A cannonball of mass 1kg is shot vertically upward from the top of a building with an unknown…

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Q: on (2.41. A(x) = Incorrect

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Q: It is a fact that the function  f(x) =  9x − 8 x + 8  (**it is 9x-8overx+8  9x-8/x+8)  has a…

A: We need to find limiting value.

Q: Describe the x-values at which is differentiable. f (x) = { 3²-7 x²-3x≤0 3-x²x>0 T -2 2 -2 The…

A: Let's find function is differential or not.

Q: یک 2. G(x) = L tanz et et +3 -dt

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Q: Four functions are given below. Perform the indicated compositions to determine which functions are…

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Q: Evaluate the following integral: sos X 1 +1 d dydx

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Q: 68 3 (x + yz) dx + 2x dy + xyz dz, C consists of line segments (1, 0, 1) to (2, 3, 1) and from (2,…

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Q: A curve is defined implicitly by the equation ax+by² = p.2 Given that a=27, b=-4 and r=3, find the…

A: Given problem:- A curve is defined implicitly by the equationax+by2 = r2Given that a=27, b=-4 and…

Q: (a) AB-BC (b) projABAC (the vector projection of AC onto AB) (c) the area of AABC

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: answer is in next step.

Q: 1. Write a list of angle degree measurements between 0° and 180° whose sin value can most easily be…

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Q: Using the Limit Comparison Test with the geometric series -17, to 8 67 determine if the series given…

A: Limit comparison test -  If we have two series ∑n=1∞an and ∑n=1∞ bn and limn→∞(an/bn) is finite and…

Q: 1. Using a compound angle formula, demonstrate that sin is equivalent to 2π 3 sin π 3

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Q: Use either integration by substitution or integration by parts as needed to evaluate S³= A B x²+1…

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Q: 3 x - 2x x-1 dx

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Q: Find the indefinite integral. (Remember to use absolute values where appropriate.) 1 / +5/9(7 +…

A: ∫1x897+x19dx

Q: A silver dollar is dropped from the top of a building that is 1323 feet tall. Use the position…

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