For the parabola 4x + 2y² + 8 = 0, find the directrix.

Q: The equation y = log(x - 3) has a vertical asymptote at: X =

A: for vertical asymptote put  x-3=0

Q: 3. Find tan(t) dt using a u-substitution. (Hint: write tan(t) in terms of sint and cost.)

A: Given query is to find the integral.

Q: This perfume bottle has a label in the shape of part of a circle. A diagram of the label is shown…

A: We have to find the height of the label.

Q: a) [x²e³dx

A:

Q: a manufacturing company performs a quality control analysis on the ceramic tile it produces. Suppose…

A: Given Suppose a batch of 25 tiles has 7 defective tiles. If 5 tiles are sampled at random, exactly 1…

Q: If m≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on…

A:

Q: What is the general solution to the the differential equation3y"-y'- 2y = 10e*? A y=C₁e…

A: We need to solve D.E.

Q: Which graph represents the reciprocal of y=(x+2)²-3? A B La C D U home

A: The function is  y=(x+2)2-3

Q: 1) Express in cylindrical and spherical coordinate systems. Cylindrical Spherical Coordinates…

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Q: Find the area of the region enclosed by y=e5x, y=e10x and x=1

A: To find area of the region.

Q: Find the flux of the constant vector field =-i-2j+2k through a square plate of area 9 in the…

A:

Q: 6. Sketch the graphs of the functions, f(x) = 2* and g(x) = x - 1 on the axes below. Then, on the…

A: we need to graph the functions.

Q: FIND THE 2ND DERIVATIVE 4. cos xy-y-3x = 0 Solution:

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Q: Use summation properties and formulas to rewrite and evaluate the sum. 29 k=1 100(k² − 6k + 1) -

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Q: stion Determine the concavity of the curve represented by the parametric equations x(t) = −3t² - 3t…

A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to t

Q: The angle between 0 and 2 in radians that is coterminal with the angle 41 6 Tin radians is

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Q: = = xp (|x|ç - x) Is-x), J 8

A:

Q: Suppose a car is traveling at 50 km/hr, and that the positive y-axis is north and the positive…

A: The given problem is solved below in detail.

Q: D- xp(x + 2x)² ]

A: Given query is to find the integral.

Q: 1. Determine whether the following infinite series are convergent: A. n=1 n! (n + 2)!

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Q: Suppose F'(x) = 5x² + 6 and F (0) = 1. Find the value of F (b) for b = 0, 0.1, 0.4, 0.8, and 2.0.…

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Q: 1-4 Find the local and absolute extreme values of the function on the given interval. 1. f(x)=x² -…

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Q: Find an equation of the tangent plane to the given parametric surface at the specified point. r(u,…

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Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

A: We have to find the area using geometry.

Q: Which hyperbolic identity corresponds to the trigonometric identity sin²(x) sinh2(x) = | 1 -…

A: Find the hyperbolic identity

Q: b) Find the point on the curve that is closest to the point (3,0). y = √x

A: formula of distance between two pount is (x1,y1) and (x2,y2)D=(x2-x1)2+(y2-y)2dxndx=nxn-1given  y=x

Q: Find the general solution for the differential equation. dy 2-10xy-5x = 0 dx

A: To solve the given differential equation

Q: If f(3) = 5 and f'(x) ≥ 3 for 3 ≤ x ≤ 6, how small can f(6) possibly be? f(6) ≥

A:

Q: Find the least squares app (-2, 0), (-1, y(x) =

A:

Q: 1. Find PS of y''' – 6y″ + 11y' − 6y = 0 given that when x = = 0, y = 4, y' = 5, y

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Q: Find an equation of the hyperbola that has vertices (0, 3) and foci (0, +4). Equation: = 1

A:

Q: Given f(x) = (x - a)² where a is constant. Where does the absolute maximum value of f occur on the…

A: Given,            fx=x-a2 where a is constant.To find : Where does the absolute maximum value of f…

Q: Graph the function over a one-period interval. y = tan Which graph below shows one period of the…

A: The given function is y=tanx4 We have to sketch the graph of the function.

Q: cy that best fits the data points (0,

A: z = a + bx + cy bx + cy + a = z Data points => (0, -3, 0), (4, 0, 0), (3, -1, 1), (1, -2, 1), and…

Q: Let f(x) be a continuous and increasing func [F(t)di 0 0,00) and let F(x)= X '(x) is increasing on…

A: Topic:- application of derivatives

Q: REVIEW 7. Find the resultant geometrically. u V-

A:

Q: The graph of y=x ln x-x where x > 0 is shown in Figure 6 (a) (i) Show that = ln .x. dr 2 4 2 0 -2-…

A: Given graph of a function y=f(x)

Q: Consider the following demand function with a constant slope. Let Q(p) describe the quantity…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: An emergency field hospital was built in the remaining piece of government-owned land. Given that if…

A:

Q: Question Determine the second derivative of the parametrically defined curve represented by the…

A: Given query is to find indicated derivative.

Q: 3-4 For each of the numbers a, b, c, d, r, and s, state whether the function whose graph is shown…

A:

Q: F(x, y, z) = (6y² + 2 sin(2x − z), 12xy, 2e²z — sin(2x − z)) ·

A: A detailed solution is given below.

Q: f(x) -x³-2x² -5x+2. Use calculus and show work. Use exact values only. Find all intervals of…

A:

Q: 10. The area between two curves is expressed as: A = [f(x)-g(x)]dx If a horizontal element of area…

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Q: A firework rocket that is sitting on a ledge is launched vertically upward. The image attached shows…

A: We need to solve quadratic model equation.

Q: 2. (sin 0-2r cos 0)dr + r cos 0(2r sin 0 + 1)d0 = 0 0+

A: Given differential equation ( sinθ - 2rcos2θ )dr + rcosθ( 2rsinθ + 1 )dθ = 0 standard form Mdx + Ndy…

Q: the a

A: The solution provided is correct.

Q: Given z = ² and y - sinh (21) where t > 0. Find and d'y dr² in terms of z.

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Q: [₂ (7t² + t + 1) dt -3

A:

Q: Fuck with 48-in.-diameter wheels is traveling at 55 mi/h. Find the angular speed of the wheels in…

A: Given Diameter= 48in  So, Radius= 24in Speed= 55mi/h We know that 1mile=5280 feet and, 1feet=12in