er the questions below: I z²,e²,4x³z + ye² COS Z > done by F in moving a particle along the cur π Ả (t) = (à log3 (2t² + 1), et, - (1 - 2

Q: Simplify tan x sin x + cos x.

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Q: Solve the following equations:* (DS+D¹-7D³-11D²8D-12)y=0

A: The given differential equation,D5+D4-7D3-11D2-8D-12y=0

Q: Let f(z) dz = 8, g(z) dz = –12, g(z) da = 13, Use these values to evaluate the given definite…

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Q: f(x)= 2x x²-4

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Q: 1. Find the second derivative of the parametric equations_x = a cost and y = b sin t

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Q: 6 Consider the series n2 +n a. The general formula for the sum of the first n terms is S Your answer…

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Q: Let L(c) be the length of the parabola f(x)=x² from x = 0 to x=c, where c20 is a constant. a. Find…

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Q: Find the remainder term R, in the nth-order Taylor polynomial centered at a for the given function.…

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Q: 5元 3) 3 S元 6. 0- 7元 11元 6. 6. 4元 3 元一6 3. R一3 2. 如一2 R一2 3. 与一3

A: Given polar coordinate is 2,5π3. Choose the circle with radius 2 and then the given angle.  The blue…

Q: 25-x dy dx c)

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Q: Father of Calculus Isaac Newton and Gottfried Wilhelm Leibniz Hipparchus of Nicaea Antoine Lavoisier…

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Q: A triangular trough is 10 ft long, 6 ft across the top, and 3 ft deep. If water flows in at the rate…

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Q: 4. Consider the line D: "2¹ = = = ²/² = = z2 and the plane P: 2x + 2y — z = −3. a) Find the points…

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Q: Please answer this, both parts; thank you!!

A: Here ia am providing my handwritten solution

Q: Evaluate: x - 4 lim x-4x2 - 8x + 16 O Limit does not exist O 4 O1

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Q: What are the first 5 terms of the sequence represented by а %3D 2n - За 'n – 1, where ", =4,

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Q: 1. Given f(x) =.9x) = 2x – 7, and h(x) = , find the following. a) The domain of f(x). Write the…

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Q: Question 4 If $10,000 is invested in a savings account offering 5% per year, compounded…

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Q: Find f"(3) * S(x) = 3*+1 107.403 322.210 97.763 38.917

A: Given, f(x)=3x+1 To be found : f"'(3)

Q: A solid lies between planes perpendicular to the y-axis at y = 0 and y=2. The cross-sections…

A: A solid lies between planes perpendicular the the y‐axis at y=0 and y=2. The cross‐sections…

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

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Q: 5. fx³√√4 - 2x² dx

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Q: Evaluate the following integral. dx 484-x² What substitution will be the most helpful for evaluating…

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Q: Find d da (36x + 4)

A: We have to determine derivative

Q: d?y Consider the second-order differential equation dt? + 49y = 2 sin(8t). Find the Particular…

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Q: 4) A spherical scoop of vanilla ice cream sits on top of a waffle cone. The diameter of the ice…

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

Q: Given the triangle below, find the value of angle A to the nearest degree. angle A = degrees 20 A b…

A: Topic:- trigonometry ratios in triangle

Q: 1-f e*. Inx dx ex. Inx

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: 2. (2x -y + 1)dx + (4x - 2y + 3)dy = 0

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Q: Use the method of disks/rings to determine the volume of the solid obtained by rotating the region…

A: Given that the region is bounded by y=2x2 and y=x3 about the x-axis.

Q: Find f, fy. f- f(x.y.z) = 3x - 4y 2. 2 +z?

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Q: Use the line sketch tool to draw the horizontal and T vertical components of this vector. Write this…

A: Sketch of given vector,

Q: If f(x) = 4ln(6x + 3 ln(x)),

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Q: g'(x) = 2x², g(-1) = 9

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Q: 3. The vertical trapezoid plate shown is below is the end plate of a trough full of water. Write but…

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Q: 2X Cos(スx) dydk 12

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Q: Solve the following equations: (D3³+ 3D²+ 3D + 2)y = 0

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Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 16 + x²-y²…

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Q: Completely factor and find the zeros of the function (x)=6x¹-11x³-51x² +99x - 27 Describe the…

A: To find the factors and zeros of the function.

Q: 17. DETAILS MY NOTES Consider the function below. (If an answer does not exist, enter DNE.) f(x) =…

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Q: please include let u du substitutions

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Q: a. Find the first four nonzero terms of the Taylor series for the given function centered at a. b.…

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Q: 1.find the derivative of In[In(Inx)] 2. find the derivative of e(2x+Inx

A: Using chain rule of differentiation.

Q: A statue 4.5m high is standing on a base of 5.5m high. If an observer's eye is on * an average…

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

Q: Sketch a graph and make a chart of a function f, that is continous on (-infinity, infinity) and…

A: answer is in next step

Q: Why rad/s as a unit of final answer instead of ft/s?

A: A ladder 13ft long leans against a vertical wallthe top slides down 1.5ft per secondthe lower end is…

Q: Find the derivative. f(x) = e. 3x

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Q: Graph the damped vibration curve for 0 ≤t≤. -t/ (5) d(t) = e cos (2t) Choose the correct graph of…

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Q: H Let f(x) = 0 if x=2 x² −1 if x > 2 Determine the two-sided limit lim fƒ(x). x-2

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Q: Locate the points of inflection of the curve 4 ƒ (x) = x²e* -2+ V3 2+ V3 Option 1 Option 2 -2+ v2…

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