dz dt || z = cos(x + 3y), x = 8t³, y = 9/t

Q: 16. Solve the inequality. Write the answer using interval notations. (1 − x²)²³(2 – 3x²) – (2x −…

A: Given inequality:- 1-x2322-3x2-2x-x31-x212-3x1-x23>0

Q: Find the shortest distance between the (entire) line L1 passing through the points A(1, 1, 2) and…

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Q: Find the Average Rate of Change of the following function (That is, from t = 2 to t = 5.) over the…

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Q: Find the differential equation by eliminating the arbitrary constant/s. y = = Aex cos x + Bex sin.x…

A: We differentiate the number times as the number of arbitrary constants present in the equation and…

Q: For the function f graphed in the accompanying figure, find the following limits. If a limit does…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the Average Rate of Change of the following function over the interval [2, 5] (That is, from t…

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Q: Determine the set of x-values where f(x) = 8x² + x - 8 is continuous, using interval notation.

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Q: If a = (1, 2, 1) and b cross products. 1. a × b : = 2. b xa = = (12, 15, 1), find the following

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Q: C] Find the domains and ranges of the following relations 1) 3) F 67 2 0 -2 2 10 2) 5 0

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Q: A sphere has the equation  x^2 +4x + y^2 -6y +z^2=3 what is the center of the sphere please give…

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Q: For each equation, solve for each variable in terms of the other variables. y=z/x For example: z =…

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Q: Evaluate the integral. (Use C for the constant of integration.) √x²√3 dx √3+2x-x²

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Q: Ex: Find the distance between the pt G(4₁-4,4) and the line x=2t₁ y=Z-3, z = at +2₂

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Q: 6. Find the area of the region enclosed by the curves x = 3 - y² and x=y_+1.

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Q: 2. Let u=i+aj +3k and y=2i-3j+ ßk i. ii. iii. If u is parallel to y, find the values of a and B Find…

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Q: Express 0.96 in the a/b where a and b are integers such that b=0

A: Given data:- The given equation is 0.96,

Q: 4 = √² 43 √8-7x8 dx

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Q: 3. (1−x³) d²y dx² DE -+ (sin x)y' − 3xy = ln x(+1) TYPE ORDER DEGREE LINEARITY

A: Need to write down the type, order, degree and linearity of the given differential equation.

Q: 1 Find the Domain and Range for y = 1-√5-x Graph and find the domain and range for y = sin²x + 1

A: 1) The given function is: y=11-5-x

Q: Let f(x) = 4x² -2 to find the following value. f(t+1) f(t+1) = ...

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Q: Find the Solution to the Differential Equation (x+2y) dx - (2x-y) dy=0

A: The given differential equation, x+2ydx-2x-ydy=0 use the integral formulas,…

Q: Assume that u v = 5, ||u|| = 5, and ||v|| = 8. Calculate the value of (4u + v) · (u – 5v). (Give…

A: Given u.v=5, u=5 and v=8

Q: The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph…

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Q: If f(x) = 7 and g(x) 4x + 3 (fog)(1): (gof)(1) = = √√45x + 4, compute the compositions (fog)(1) and…

A: Given , f(x)= 7 / (4x+3) And g(x)=√(45x+4)

Q: 3) Determine the speed of change of volume of a rectangular parallelepiped, knowing that the edges…

A: Let the length of base edges and vertical edge are x, y and z respectively such that dxdt = +2…

Q: 1. You place $5 on Odd, $5 on Red, and $5 on Column 2 and the number 5 appears after the spin of the…

A: given data $5   on odd $5  on Red $5  on column 2   result 5 appear   result in our favour 5 is odd…

Q: ear equation of the plane through the nts (6, 3, 2) and (4, −1, 1).

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Q: Is the function g(x) continuous at x = 5? g(x)= O No 1 5X+7, 5x-13, for x>5 Choose the correct…

A: Given query is to find function is continuous or not at x = 5.

Q: K For the piecewise function, find the values h(-9), h(1), h(S), and h(7) -5x-9, for x<-3 H() = 5,…

A: Topic - Functions

Q: Find the integral. (Use C for the constant of integration.) t (294 - t2)3/2 dt

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Q: E] Find the zeros of the function f(x) = 3x² - 6x + 2 F] Find the points of intersection of y = x² -…

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Q: Find the differential equation for the given family . y ^ 2 = C * x ^ 4 - 2

A: The given  equation is; y2=Cx4-2.

Q: 1. Determine the derivatives of the following functions (a) y = (x² - 2)²

A: We can determine the derivative in the below steps.

Q: sing the substitution u = √x + 3, evaluate 2 S. VELVE √(√x + 3)2 dr.

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Q: A squirrel is running along a straight wire. Its position (in inches) after t seconds is given by…

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Q: A movie theater has a discount for groups of 15 or more people and determines the price per person…

A: Given price function, P=8-0.15(n-15)               n≥15 We know that revenue function, R=P*number of…

Q: Find the decomposition a = ªb + ªь with respect to b if a = (x, y, z), b = (-1,-1,-1). (Give your…

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Q: f(x) = √8x-6, g(x) = x² - 16, (f + g)(x)

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Q: Find the domain of the function. (Enter your answer using interval notation.) √x 8x² + 7x1 g(x)= =

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Q: 3. Find the area of the region enclosed by the curves y = x² + 2, y = -x, x = 0, and x = 1. (a) (c)…

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Q: Find the vector and parametric equations for the line through the point P = (-1, 4, −4) and the…

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Q: Use function composition to determine if f (x) ar (a) Yes, they are inverse functions. (b) No, they…

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Q: {(1.-).(2-3) (0,5), (1.3),(4,5), (-1,5),(4-4) 6. § (3,-2). (-8.-7), (0,6).(-3,4),(6-³3).(-1,6),…

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Q: C. Find the standard form of the equation of a circle given the following conditions. 11. Radius is…

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Q: 6. x = c₁ cos tot + c₂ sin cot; w a parameter.

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Q: Describe all the x-values at a distance of 15 or less from the number 10. Enter your answer in…

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Q: SQuind oAY I Hino Fuissed ಾದ ಮತ್ತು ಇಟ್ಟು ಬರುತ 5, 7, 2) and (3,4) 6. (-1,-1) and (49)

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Q: Given a function g(x), assuming that g'(3) = -8, what does ths tell us? OA. The slope of the line…

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Q: Use the graph to find the average rate of change. 5) Monthly Cellular Phone Charge in Dollars 80+…

A: To find average rate of change of given function through its graph.

Q: 1) Find the difference quotient of f(x)=x². That is, find f(x+h)-f(x) for h#0. Simplify so h that h…

A: To find the difference quotient of the given function.