Find dy/dx for the following functions:- u² (4) y=²+1 , u = 3x² - 2 (3) 4x² + 3xy - xy² = 0

Q: Find an equation of the tangent line to the graph of the function at the given point. Y = sin 3x (=…

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Q: 12. Simplify with the goal in mind to cancel the h that is in the denominator. -1 -1 2(x+h)² 2x²…

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Q: 53. I 0 f(x) f'(x) g(x) g(x) (A) 15 (B) 3 (C) 2 (D) -5 4 1/1/13 2 - 2 32 3339 The table above gives…

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Q: Write the interval of continuity for the function below: tan(cos(x)) log6 (7) f(x) = for 0x< 2π

A: The given function is: f(x)=tan(cos(x))log6xπ

Q: Suppose the quantity (in grams) of a radioactive substance present at time t is Q(t) = 38,416…

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Q: усхо = (x+&z+x?-1; y&1=', y'&D=z

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Q: Write the interval of continuity for the function below: sin(x)√/25 - x2 x-6 f(x) =

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Q: 14. Which of the following does not require the use of the chain rule to find y y = cos ¹(10x5 - x²)…

A: Given problem:- Which of the following does not require the use of chain rule to find dy/dx? (A)…

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A: Please refer to the image below

Q: Which of the following is the appropriate substitution for the Bernoulli differential equation xdy +…

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Q: Find the area of the parallelogram whose diagonals are represented by the vectors a =(3,-3,1) and b…

A: See this solution in below

Q: Evaluating a Function Evaluate the difference quotient and simplify the result f(x) = x² - 7x + 3 0…

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Q: 3) Find the second derivative of y with reference to x. xcosy = y

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Q: The limit of the function lim x → − 2 ( 2 − | x |/ 2 + x )

A: Here we have to find the value of limit limx→-222-x2+x

Q: The differential equation dy 18 dx y¹/2 + 4x²y¹/2 has an implicit general solution of the form F(x,…

A: The given differential equation,      dydx=18y12+4x2y12 we have to find the general solution of the…

Q: Consider the function f(x) shown in the following image: Evaluate lim f(x). x-0- A B с D -1 0 1 Does…

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Q: 16. For the given periodic function, state: a) the amplitude b) the period -2 4 3 f(x)

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Q: (a) Compute the solutions x, y of the system of two linear equations 3x + y = 1, 2x 6y = 10. (b)…

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Q: For the point P(-20, -3) and Q(-13,0), find the distance d(P.Q) and the coordinates of the midpoint…

A: For P(x1,y1) and Q(x2,y2)⇒d(P,Q)=(x1-x2)2+(y1-y2)2Midpoint M of segment PQ=x1+x22,y1+y22

Q: xp x + 1^₂x

A: Here is the solution:

Q: 1. Calculate the following limit analytically or show that the limit does not exist. Re- member to…

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Q: t10 x csc x dx 6 cot 10

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Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

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Q: What is the best substitution to make to evaluate S O u = 3x Ou = e³x u=1+e³x Ou = e-3x e³x 1+e³x dx…

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Q: If A = 1=1 ²₁₂ 21₁B =[ ²¹/₂ 3 b) B.A c) A-2B a) 3A-C 3] -2 = [3²5] 4J and C= Find:

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Q: You are calculating a tip on a restaurant bill. The service was good, so you would like to tip about…

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Q: Express the column matrix bas a linear combination of the columns of A. (Use A₁, A₂, and A3…

A: We can solve it by the help of augmented matrix.

Q: Determine which is the pure time differential equation, which is the autonomous differential and…

A: Given equations:  dfdt=e-t2                 ............................(1) y'=3y+y2…

Q: The function f(x) is continuous on the interval [-1,3]. The table below gives some of its values.…

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Q: Find f(x) + g(x), f(x) – g(x), f(x) · g(x), f(x) = 5x - 9 g(x) = 7 - 6x (a) f(x) + g(x) (b) f(x) -…

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Q: The point P(1, 0) lies on the curve y = sin( (a) If Q is the point (x, sin(¹3″ )), find the slope of…

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Q: During an 8-hour shift, the rate of change of productivity (in units per hour) of infant activity…

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Q: CHAPTER O Review Exercise 1. Let f(x) = x³ + ¹. Evaluate f(1), ƒ(3), f(-1), f(-). and f(√2). 2. Let…

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Q: Determine the infinite limit limx→2− x^2 − 2x/ x^2 − 4x + 4

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Q: 1. For each statement, determine if it is True or False and explain why. x²-4 x-2 =x+2 b. lim *-* =…

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Q: 5. The profit, P(x), of a video company, in thousands of dollars, is given by the equation P(x) =…

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Q: Consider f(x,y)=xlnx-ylny. Which among the following best describes the given function? A…

A: we have f(x,y) = xlnx -ylny

Q: Find the general solution of y'= sin²xcosy.

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Q: Expand with binomial formula (a-x)5

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Q: Eliminate C from the equation y=3x²+ Ce=2x. Ay'-2y-6x²+6x=0 B) y'- 2y + 6x² - 6x=0 Ⓒ2y+y'+3x²+6x=0…

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Q: e number of bachelor's degrees conferred has been increasing steadily in recent decades. The rate of…

A: Please refer to the image below

Q: What is the sumation form of the maclaurin series for 1/x*sin(x)? Hint: First find the first few…

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Q: 1. The point P(2, −1) lies on the curve y = 1/(1 − x). (a) If Q is the point (x, 1/(1 − x)), use…

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Q: 2. y' ysecx

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Q: 5. K A decreasing function g satisfies g(4) = 6 and g'(4) = -2. Which of the following statements…

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Q: 13. The temperature in our school is modeled with this equation: T = 4cos(30(t−8)° +18. T = the…

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Q: Find a differential equation that corresponds to the given direction field. Consider differential…

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Q: The graph below is the function f(x) -5 -4 -3 -2 -1 lim 5 4 3 x→2 12 A -1 -2 -3 -4 -5+ Select all…

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Q: Simplify tanx (cscx sinx). A B D 0 1 sinx COSX

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Q: Consider the matrix equation Ax-0 for the following. + --•-8 A- -1 Find the reduced row-echelon…

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