Find the parametric equations for the tangent line to the curve x = t³ − 1, y = t² + 1, z = t¹ at the point (26, 10, 3). Use the variable t for your parameter. x= y = 2=

Q: A B -3 2 The non-zero value of n for which the differential equation (3xy² + n²x²y) dx + (nx³ +…

A: The objective of the question is determine the value"n" for which the given differential equation is…

Q: Find the local maximum of the function f(z), which is given in the graph below. Give your answer as…

A: Topic- Local maximum of a function We are given graph of a function. Local maximum on the graph is…

Q: Question 12 Find the derivative of the function. (A) 15s¹4+70sº +30s¹ B 15s14-70s +30s¹ E 158¹4-70s…

A: Topic- Derivative of a function We are given, H(s)=(s10+6)(s5-7)and we know thatddssn=nsn-1

Q: 2. Find the domains of the functions f(x, y) = ln (x² − y) and g(x, y) = 14 y²-x²

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Q: 3. Find the function that is finally graphed after the following transformations are applied to the…

A: Given curvef(x)=x

Q: 2. (a) (c) 1 x-5x+6 Evaluate - S In x-31 - In/x-2| + C In x-3| + In|x-2| + C -dx (b) (d)…

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Q: 4.2.1 4.2.2 x-x²+3x²-10x+8 x²-x²-4 [sec²()dx. dx.

A: I am attaching image so that you understand each and every step.

Q: The carbon monoxide level in a city is predicted to be 0.02x3/2 + 1 ppm (parts per million), where x…

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Q: A B Which of the following is not a first order linear differential equation? dp dt dy-y²-y +2Pt = P…

A: Explanation of the answer is as follows

Q: Question 2 The command integral() cannot be used for. Definite Indefinite Particular Any integrals.…

A: Solution ) command integral () cannot used for  Indefinite integrals  Explanation is given  If we…

Q: 2. Water runs into a conical tank at the rate of 9ft³/min. The tank stands point down and has a…

A: Given query is to find the the rate of change of height of water.

Q: ƒ(x) = (x + 1)(x+2) x² - 3

A: The function is given by fx = x+1x+2x2-3 To evaluate: The derivative of the function.

Q: A B D Which of the following is not a first order linear differential equation? dp dt dy dx +2Pt = P…

A: For a differential equation to be linear, no terms containing the dependent variable should be…

Q: Q2: Solve the national-income model by matrix Inversion: C + Io + G....... . (1) C = a + b(y-T), (a…

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Q: 2) Is the discontinuity x = 0 for the function f removeable or non removeable. Fully justify your…

A: We need to explain removable or non removable continuity at x=0.

Q: Given that log, (y) = -0.49, log, (z) = loga VE 3419 - 16.03, and log, (t) = -14.41, find the…

A: Given query is to find the value of logarithmic expression.

Q: Use the graph to determine a. the function's domain, b. the function's range, c. the x-intercepts,…

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Q: Show that the function is increasing on the given open interval. (Enter your answers as a…

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Q: For the function graphed below, find the values of x at which the derivative does not exist. (Enter…

A: Derivative does not exist for following

Q: V= 5

A: Topic:- application of integration

Q: 8 y' if y = log2 (√x+1).

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Q: 4. Show that im (XM) (110) хуу (x-4)² + y² does not exist.

A: see below the calculation and explanation

Q: b. C. n k n2 M k=1 n IM³ 8 n

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Q: c) f t√t + 4 dt e) S X 25+16x² dx 25+16x² d) f 25 dx x (19wansoy dilquma) dx 25+16x² f) S

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Q: 31. Temperature readings T (in °C) were recorded every two hours from midnight to 2:00 PM in Atlanta…

A: Given data, t 0 2 4 6 8 10 12 14 T 23 21 20 19 21 26 28 30

Q: Find an equation of the line described. Leave the solution in the form Ax + By = C. The line…

A: Given data÷ Points÷ -3,6 and 3,-1   Equation of line having two points is given by÷ Points÷ x1,y1…

Q: questions

A: *Note: As per policy only first question is answered. Question 4. Given: G(z) = (z-6)lnz

Q: 2. Find the solution of the given initial value problem. y" - 6y' +9y = 0, y(0) = 1, y'(0) = 2.

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Q: =1+²+ + 3x + 9 Find the critical numbers. (Enter your answers as a comma-separated list. If an…

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Q: dy Which of the following is the general solution of x ln x +y = ln x² ? dx

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Q: b. Find the right endpoints 1, 2, 3 of the first, second, and third subintervals [xo, 1], [x1, x2],…

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Q: Evaluate the function. If the value is not a rational number, round your answer to three decimal…

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Q: A ball is thrown upward from the roof of a school, 16 m high, with an initial velocity of 20 m/s.…

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Q: d the center and the radius of the circle with the equ 2 Enter the center as an ordered pair (x, y).…

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Q: The graph of y = f(x) is shown below. Provide your answer below: -7-6-5-4-3-2- 1 2 Draw the graph of…

A: Given query is to find the graph after transformation.

Q: A) True B) False The differential equation f(x)dx + g(y)dy = 0 is exact. ...

A: Let's find given differential equation is exact or not.

Q: Evaluate csc Enter the exact answer. CSC (4). (7)

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Q: r'(t), r"(t), r'(t) r"(t), and r'(t) r(t) = 2t²i - 5tj + 5t³k X

A: Topic:- application of derivatives in vector algebra

Q: dy ng is the general solution of xln x + y = ln x² dx y = lnx + C y = lnx+₁x

A: We have to choose the correct option from the given options according to the given information

Q: Find the center, vertices, and foci of the ellipse given by the equation. 2+2-1 16 4 center (x, y) =…

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Q: Evaluate the integrals for f(x) shown in the figure below. The two parts of the graph are…

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Q: f(x) = x +2+1 x²

A: we need to write down the values of x on which the function is differentiable.

Q: (3) Evaluate showing all steps the definite integral ₁ (1 - 1²)-¹/² dt.

A: Answer (3) We have to Evaluate the definite integral  ∫01(1-t2)-1/2dt

Q: Find the vertex, focus, and directrix of the parabola given by the equation. (x - 3)² = 4(y + 1) (x,…

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Q: Use the method of variation of parameters to determine the general solution of the given…

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Q: at at which a company's costs equals its nts cost, in dollars, of x units of a product For the sale…

A: Topic:- algebra

Q: A company's cost function is C(x)=√√9x² + 1600 dollars, where x is the number of units. Find the…

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Q: 5. Consider the polar curves having the equations r = 3 sin 0 and r = 1 + sin 0. a. Sketch the…

A: Given curves are r= 3 sin(theta),r=1+sin(theta)

Q: 3. Consider the function: f(x)=√16- x² + 2 a) Sketch the graph. and Using geometric formulas…

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Q: Given: (0, 3.0), (2, 20.6), (4, 72.8), (6, 236.5), (8, 714.0), (10, 2209.7) Use the regression…

A: Given