Differentiate parametrically to find x=3t², y=6t dy dx in terms of t:

Q: y = |3 - x| x-Intercept (x, y) = y-Intercept -10 (x, y) = ( -12 -14 Find any Intercepts. (If an…

A: Given function:- y=|3-x|  To find:- Sketch the graph , x and y intercepts and symmetry

Q: x = 5. Use the difference quotient (Newton's quotient) to find when the function f(x) = 2x² - 4x +…

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Q: Find the area of the region bounded above by y = -x² + 2 and below by y = x². 4 3 2 & A wit 543-2-11…

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Q: What is the gradient of the curve y = x^3+4x^2-6x+3   at the point where x=-2 ?

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Q: A company reimburses its sales representatives $275 per day for lodging and meals plus 40€ per mile…

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

Q: 4. S (x-1)(2x³+2x²+3x+2) dx x³ (x+1)

A: The objective of the question is evaluate the indefinite integral.

Q: Use Newton's Method to find x4 given x = √√21 (answer using 4 decimal places for each step) f(xn)…

A: We have to solve  x=213 ⇒ x3=21 ⇒ x3-21=0 Let  fx = x3-21 ∴ f'x = 3x2 Given x1=2.3

Q: - - Find the fourth derivative of f(x) = 5 + ln (x) — 127.

A: Topic = Derivative

Q: Find (ot (Sin-¹) (-1))

A: cotarcsin-36Use the following property: arcsin-x=-arcsinx=cot-arcsin36Use the following property:…

Q: The answers are wrong

A: This question can be solved using the concept of absolute maximum and absolute minimum

Q: Consider the function. 8(x) = x + 1| - | x − 1| Estimate the following by evaluating fat x-values…

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Q: Use Newton's method to find the zeros of f(x)= 3x4 - 3x² using the given starting values in (a)…

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Q: Give the interval where y is decreasing y=x²e^x

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Q: A city block has 6 pigeons and then 1 week later there are 9 pigeons. Let P(t) be the number of…

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Q: sider the following. C: line segments from (0, 1) to (0, 16) and (0, 16) to (15, 15) (a) Find a…

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Q: A region bounded by fly) = 2y, y = 1, y = 3, and x = 1 is shown below. Find the volume of the solid…

A: The objective of the question is evaluate the volume of the given region.

Q: Suppose we want to choose 2 objects, without replacement, from the 4 objects pencil, eraser, desk,…

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Q: The table below gives selected values for the differentiable and increasing function f and its…

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Q: a. y" = xy' - x

A: This is a problem related to differential equation. Please follow the procedure given below. As per…

Q: Rewrite the equation with the variables separated. -ydy + sin(x) = 6 dx dy O = [6+ sin(x)] dx ey o…

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Q: State the domain, vertical asymptote, and end behavior of the function.   g(x)=ln(3x+9)+1.6 Enter…

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Q: A cylindrical can is being filled at the rate of dh = 3t², h(t) describes the height of the…

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Q: identifying functions fro Espatol For each relatie, decide whether or not it is a function. Domain…

A: Function : A function from a set X to a set Y assigns to each element of X exactly one element of Y.…

Q: Find all roots of the polynomial equation. Use the Rational Zero Theorem, Descartes's Rule of Signs,…

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Q: Determine whether the plane passes through each point. x + 4y - 3z − 1 = 0 (a) (-6, 1, -1) O Yes O…

A: To check if the plane passes through each point we have to put the points and check if equation…

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Solve the equation given. Enter all solutions, in degrees, that lie in the interval [0°, 360°). Do…

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Q: explain

A: As per policy only first question is answered. Please refer to the image below

Q: The gradient vector of the function f(x, y) = cos(4x - 6y) is (4 sin(4x - 6y), -6 cos(4x - 6y)).…

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Q: Prove that: tan-¹ z = In( 2 Note: tanz = And sin z = COS Z = ‚i+z. sin z COS Z eiz-e-iz 2i eiz te-iz…

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Q: Use L'Hospital's Rule to find the limit. Also, state why we can use this rule. lim(42x)³ln (4 - 2x)…

A: Given;  Limx-2(4-2x) 3 ln(4-2x).

Q: What is the equation of the curve that passes through the point (2, 3) and has a slope of ye-2 at…

A: Topic = Differential equation

Q: Calculate the Taylor polynomials T2 and T3 centered at a = 3 for the function f(x) = x²-3x. (Use…

A: To calculate the Taylor polynomials T2 and T3 centered at a=3 for the function fx=x4-3x.

Q: The normal vector to the tangent plane for the surface x²y³ z = 8, at the point (-1, 2, 1) is: 2 3…

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Q: According to a study, each additional year of education increases one's income by 15%. Therefore,…

A: Given, 1.15x = 2

Q: Find the area of the region enclosed by the parametric equation x = t³ - 8t y = 4t²

A: This is a loop formed find graph  And then find limits of t

Q: Newton's heating-cooling law states that the rate of change in the temperature, H, is proportional…

A: This is a problem related to differential equation. Please follow the procedure given below.

Q: II. Solve the given linear differential equation showing the details of your work. 1. (D²…

A: The given differential equations are;  1) (D2-3D+4)y=16x-50Cos2x 2)(D2-3D+2)y=Sin(e-x).

Q: A company's marginal cost function is MC = 28x4/3 - 14x3/4 + 1, where x is the number of units, and…

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Q: Use the function below to answer the following questions. y = log₂ (x-2)-4 (a) Use transformations…

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Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

A: The objective is to find the indefinite integral.

Q: Consider the function f(x) = 12x5 + 15x¹ - 240x³ +2. f(x) has inflection points at (reading from…

A: Consider the function fx=12x5+15x4-240x3+2.fx has inflection points at reading from the left to…

Q: Find the indefinite integral. [Hint: Use some algebra first.] (Use C for the constant of…

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Q: Consider the following planes. 3x + 6y-z = 126 x 12y + 2z = 0 (a) Find the angle between the two…

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Q: Find the third derivative of f(x) = ³/15z + 1. f"" (2) - ab a b √a |a| π sin (a) 2.

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Q: To evaluate lim 6 sin x, use the theorem that states that if c is a real number in the domain of the…

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Q: Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding…

A: We will solve to get required result.

Q: Solve the equation for exact solutions in the interval [0°,360°). Use an algebraic method. 2 9 sec²0…

A: Given.

Q: 3G III. T ⊙ 곤 Question Seve.... Let A be the square matrix [203] 0 1 4 l1 0 1 Find, if possible, a…

A: The given matrix is;  A= 2 0 3        0 1 4       1 0 1.