A. Find the general equation of the conic with the given properties. 51 1. A parabola with directrix y=- and one endpoint of the latus rectum at 32

Q: 3) Using the trafe boich unte, find the following integrats 2 Ⓒ S x lnx d x Aslo 1

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Q: The general solution of y" + y = sec x tan x

A: Given problem:- The general solution of y" + y = sec x tan x

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A: Sign of Value of f is changing from x= -2 to -1

Q: {CLO-2} Find the linear approximation, L(x), to f(x) at x = xo . f(x)=√10x+9, x = 0 O 10 L(x)=x+3…

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Q: s 1 s(s+ 1)² -1 +et+2te-t Option 1 2+te-t Option 3 - 1 + e-t2te-t Option 2 -2+te+e-t Option 4

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Q: Explain how you would graph the following set of parametric equations by plotting points and…

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Q: Evaluate the integral. π/2 sin³ 0 cos²0 de 3

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Q: (CLO-1) Determine the horizontal asymptote(s) of the given graph. 12 10 Ox=4 and x = -4 Dy=2 Ox=2 Oy…

A: The given problem is solved below.

Q: In this question, you will solve an integral problem using the method of substitution. (a) Make the…

A: A detailed solution is given below

Q: Q2/Find the value of the integral ²: by using simpson method (n = 6)? dx 1+x²

A: Let's solve given integration by using simpson 1/3 method.

Q: 1. IF PLx) =5х4 Sox2+9х2 Find F'(x) and F'(2)

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Q: 3. Suppose a function H(t) is given and that this function describes the height H of a projectile t…

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Q: e²x-2x-1 x² f(x) = a) lim f(x) x⇒0+

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Q: Given the function y = 8e-²x² + 7 sec² 5x – 4 ln x³, find y'. Solution: y' = 4(3)x² x³3 +8(−4x)e-²x²…

A: We will find the y' of the given function in the following step.

Q: Given the rectangular coordinates (-6,2) determine (r,θ). What is r=______. (round to 1 decimal)

A: r is obtained.

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Q: Given z x-y * Find Zyy xy.

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Q: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the high…

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Q: A capacitor has two parallel metal plates measuring 0.45 m² each. The distance between the plates is…

A: Given:-Area of plates=0.45 m2distance between plate, d=1 cm=10-2mthickness of permittivity ,…

Q: [CLO-3] The second derivative f"(x) of a function is given. Use this information and concave…

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Q: x = 2t² and y = t³ - 3t has a point where there are two tangents. Identify that point.

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Q: Assuming that z is a differentiable function of x and y, Let F(x,y,z) = ln(x²y) - e* -tan-¹ z. Find…

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Q: (CLO-2) The function f(x) = 2x³− 6x+4 decreases on 0 (-∞0,1) O (-∞, -1) U (1,∞) O (-1,1) 0 (-1,00)

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Q: 1- Use the shell method to find the volume of the solids generated by revolving the shaded region…

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Q: Evaluate the limit sin 2x lim 20 7x

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Q: . Find the integral of your answer in problems 2a and 2b.

A: 2. Write the given (total) area as an integral. Given problem:- a. The area above the x-axis and…

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A: The given problem is solved below in detail.

Q: [CLO-3] The second derivative f"(x) of a function is given. Use this information to find all values…

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Q: Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder x² + y² =25 and…

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Q: Use the series to evaluate the limit tan-¹ y - siny lim y→0 y³ cosy

A: Expand series and solve

Q: Evaluate the following integrals: O • (Cartesian to Polar) Civen the cartesian coordinate, find of…

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Q: Given R(t) = 4 cos ti + (1+ 3cost)j +5sintk. Find the arc length of the portion of R(T) from t=0 to…

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Q: Evaluate lim √9-t-3 t-o t

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Q: Evaluate the integral. /² sin³ 0 cos²0 de Enter your answer in exact form. If the answer is a…

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Q: Problem 2. Consider the equation z = x² + y² + 1 A. Find the equations for az- and yz-traces. B.…

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Q: 6) (-2√2,2√2) 3 3√3 8) 2 10) (-2,-2√3)

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Q: Find the area of the shaded region. 49- y=49-x² 35- 21- 7- اتنا -17-1 -21- -35- -49- F3 5 th Fo Q Q…

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Q: A company manufactures two products. The price function for product A is p = 20-x (for 0 ≤ x ≤ 40),…

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Q: 1 Find the value of dz and 8z/ dy at the point A when x changes by (0.01) and y changes by (-0.01)…

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Q: Find if dy dx y = (cos x) * O (cos x) * (-sin x) O (sin x) * (In cos x - x tan x) O (sin x)* (In cos…

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Q: Evaluate (ƒ¯¹) '(2) for the function 3 2 f(x) = √√√x³ + x² + x + 1. Explain your reasoning and write…

A: The given function is  f(x)=x3+x2+x+1

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = 3 ex cos (yz),…

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Q: If the population of a city is 155,000. If the population declines continuously by 5% per year, what…

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Q: If the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the…

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Q: 2. Find the general solution o- = y(1+e³) 1 له 342433434 11 11 1 "싫

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