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Q: A curve C is defined by the parametric equations x = 1– t2 y = t – t3 (a) Show that C has two…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

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Q: The definite integral of S ds = S (;t² – t + vo) dt is s – s, =;t³ - t2 + v,t 4 5

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Q: 1. Determine the convergence or Divergence of Sequence with given nth term. If the sequence…

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Q: Given the points A(-1, 2, 0), B(1, 0, 3) and C(1, 0, 2), find AB • AC x BC.

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Q: 4y° sin°(x) x10 + y10 if (x, y) + (0,0) Let f(x, y) if (x, y) = (0,0) sin(4æy) if (x, y) + (0,0) and…

A:

Q: A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is…

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Q: Which of the following is not a possible zero off(x) =2x-5x+ 127 03 5 3

A: Given

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y,…

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Q: For this question, we are concerned with the movement of an object along a path in the plane. We are…

A: Let the points be: O(0,0),A(4,3),B(7,3) & C(10,7)

Q: If z = ln √(u2 + v2 + w2), find ∂z/∂u, ∂z/∂v, and ∂z/∂w. Also, please explain the method used to…

A: Topic = Derivative

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: If C(x) is the cost of producing x units of a commodity, then the average cost per unit is a(x) =…

A: Use the basic concepts of the average and marginal costs.

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, –1). v = (0, 12) a =

A: We can find the value of a and b as below.

Q: use the properties of the natural logarithm to: A. expand the logarithmic expression: ln (2x/x+2)…

A: A) ln2xx+2B) 5 lnx-7 lny-8 lnz

Q: 3;) Find the välie of k isó that. the furnictioin %3D .kx*. .if. x 2 2. is. continuous .cvery iw…

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Q: The radical function f(x) is represented by the equation f(x) = x-1+4· The graph shown is the graph…

A: Given function fx=x-1+4 We know x-1 is defined for x-1≥0    ⇒   x≥1Therefore fx=x-1+4  is defined…

Q: If s (t) represents the position of an object (measured in meters) at time t seconds, then the units…

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Given the surface x²y + y° z+ z?x = 38. Find the normal line and the tangent plane to the given…

A: A detailed solution is given below.

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: Find your answer below

Q: y, = x2 + 2x + 2 Y2 = 2x + 18 dx 25- 20 15 y 10- 5- 6.

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Q: Given f(x, y) = 1æ²y then the total differential df = %3D

A: I have appended the formula used in the solution part.

Q: 4 is a geometric series or not. If so, determine if the series Determine if (-3)" n=1 converges or…

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Q: Given the area in the first quadrant bounded by x2 = 8y, the line y – 2 = 0 and the y-axis. What is…

A: Given the area in the first quadrant bounded by x^2 = 8y, the line y – 2 = 0 and the y-axis. Find…

Q: 1. Find the gradicnt of the following functions (here, i = V-1, and A is a constant) (a) f (x) = 3x.…

A: The objective is to find the gradient.

Q: Evaluate the indefinite integral, ſ cosh? x dx.

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Q: - 4

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Q: The gcd of 687 and 24 is: 01 O 11 12 3

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Q: Let f(r) = x³ on [0, 1] and let Pn be the arithmetic partition that splits [0, 1] into n equal…

A: Given

Q: wing. y = x2 y = 6 - x 10 8- 6. (a) Find the area of the region by integrating with respect to x.…

A: Here, the given region is bounded by the curves: y=x2, y=6-x The intersection point can be found by…

Q: a) Approximate the area under graph (a) of f(x) = 3/x over the interval [2,10] by computing the area…

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Q: S(3x2 — х + 2) е -* dx | A - (3x2 – x + 2)e* (бх 1)e * + 6 e¬* + C (-3x² – 5x – 7)e¯* + C (3x? —х+…

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Q: Consider the following IVP: y'' -3y' -10y = 1, y(0) = -1, y'(0) = 2

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Q: Given sin(1 - 2). y z = sin(1 – x = 2 – ts and y = 2t – s z = sin( 1 dz then calculate * when t = -1…

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Q: Use the quotient rule to find the derivative of 8e" + 4 - 9x7 + 9x° Use e^x for e". You do not need…

A: We will find the derivative.

Q: A small radio transmitter broadcasts in a 53 mile radius. If you drive along a straight line from a…

A:

Q: A toy manufacturer's cost for producing q units of a game is given by C(q) = 1420 + 3.6q + U.U00 the…

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Q: Find the derivative of the following using First Principle. 4) y = -2x2 + 3x – 12 5) f(x) = x2 + 15x…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: Determine the exact distance between lines l1: 7 = (5,–3,7) + s(3,-2, 5) and l2: 7 = (2,-7,9) +…

A: Here both the lines are parallel.

Q: Content: Derivatives of Exponential and Logarithmic Function Summative Number: 3Q3 Part 1.…

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Q: Which of the following is not a possible zero of f (x)=2x-5x+12?

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Q: A. Determine whether the following functions are continuous or not. are not, classify them as…

A: Given : f(x)=x2-36x+6     To Find : type of discontinuity   Note : If f(x) is undefined at x=a, and…

Q: 10) y = A+ Cekt is a solution to the differential equation = k(y - A). a) True b) False

A: Solve the differential equation by separable differential mathod

Q: Given the cost function for a product: C(q) = -0.00932q + 0.196q? + 1.43q + 36, at what level of…

A: Find your answer below

Q: Sove the following continnity queshans below Let f(x.y) = 2xy? f (xiy) = (0,0) nd Let glan)= f fary)…

A: here we use the simultaneous limit definition and arbitrary path choosing that passes through the…

Q: solve the exponential equation. If the solution is not an integer, round to 4 decimal places.…

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Q: 【コxマー52

A: Given problem:- ∫x2x2-53dx

Q: Q1) Find 2/3 dx a) Jas x*/9x² – 1 V2/3

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