For y = f(x) = 3x³, find Ax, Ay, and Ax= Ay Ax 1 given x₁ = 2 and x₂ = 5.

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A: Let equation of the function be, f(x)=ax³+bx²+cx+d ...(i), a,b,c,d are constants.

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A: This question can be solved by the concept of functions.

Q: Write cos(sin(x)) in an algebraic expression form.

A: the solution consists of substitution

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Q: The slope of line tangent to y = x² + 2x at P(1,2) is: A. 1 B. 2 C. 3 D. 4

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Q: Differentiate y=11x³ +4

A: Given, y=11x3+4

Q: What is the general solution of the differential equation below when x > 0, y > 0.  dy/dx = -x2y2

A: A detailed solution is given below.

Q: Write the function below in the form y = f(u) and u = g(x). Then find dx y = -4(sin x)-6 Find dy dx…

A: Given query is to find the derivative of the function.

Q: If y = (5 + x5 +¹³, then y' is A. (5 + x² +¹³ (5x¹¹2) +3 B. (5 + x² + ²)² (5x+) c{(5+x+) (5x + a) D.…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

A: The given integral is sqrt(5+1/x)/x2.

Q: Use the given graph of f to find a number & such that if |x-1| < 8 then [f(x) - 1|< 0.2. 8 = 1.2 y 1…

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Q: (1.1) Calculate the Laplace transform of the following function from first principles: f(t) = = 3t -…

A: Laplace transform of a function f(t)  using first principles is Fs=Lft=∫0∞e-stf(t)dt

Q: The loudness, L, in decibels(dB), is given by the formula L = 10. log loud in decibels is this sound…

A: Topic- functions We are given,Loudnes L, in decibels(dB) by the formula L=10·logII0where I is the…

Q: 1. Three vectors in space are given as = 3x + 2y + 42 K L = 2x − 3y + 2 - M = -x-4ŷ in cartesian…

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Q: Evaluate the integral. *π/4 [" sin ³(x) dx

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Q: Sketch the graph that possesses the characteristics listed. fis concave down at (1,4), concave up at…

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A: The given function is  f(x)= x3-12x+7  We have to find  a) relative minimum points b) relative…

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A: Note:  1. A function is not differentiable at discontinuity. 2.A function is not differentiable at…

Q: Find dt where z = 3x²y³, x = t¹ and y = t²

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: x² - 10x (c) lim 9x²-x 2

A: L’Hospital’s Rule Formula L’hospital’s rule states that Note: The limit of the quotient of function…

Q: Find the marginal cost, marginal revenue, and marginal profit functions. C(x) = 4x2;  R(x) = x3 + 5x…

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Q: An object moves with the acceleration vector ä(t) = with initial ity vector Po= and initial position…

A: Given acceleration of an object after time t is a→t=-2.i⏜+j^+3k^ Let the position vector of the…

Q: 49.9(0)(-77.895)

A: Question : -49.9(0)(-77.895)

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Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: We can find the limit .

Q: 1. A carpenter can construct book cases at a cost of P400 each. If the carpenter sells the book…

A: Given:- Carpenter sells the book cases for x pesos each And 300-2x book cases will be sold per month…

Q: If y = √4x²+2sin-¹ A. 2-x 2+x A. 0 B. 2+x 2-x ,then y' equals, C. . Find d if y = arcsin√2x +…

A: Topic- Derivative of a function we are given y=4-x2+2sin-1x2and y=arcsin2x+arccos2xwe know…

Q: 2. Let L be the line passing through points (-2,-5) and (3,4). Find the general equation of the line…

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Q: Show that xzxx+yzxy = y²Zyy if z = xy + yln(xy)

A: To prove the given result find zxx,zyy,zxy and substitute in the given equation.

Q: 1. Three vectors in space are given as K = 3x + 2y + 42 L = 2x - 3y + 2 M = -x - 4y in cartesian…

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Q: 2. Determine the domain and range of g(x) = (x + 2)² 2

A: Domain of a function y=f(x) is the set of values of x for which y is defined. Range of a function…

Q: Element X has a half-life of 10 days. If we currently have a 25 ounce sample of Element X, how long…

A: NOTE: Refresh your page if you can't see any equations. . the half-life of the element X is p=10…

Q: Use an appropriate table of values to find lim h->0 b^h-1/h where b = 48, accurate to four…

A: The given limit limh→0bh-1h We need to find the limit for b=48

Q: (x + 2y — 2) dx + (2x + y + 5) dy = ○ (x + 4)² − 2 (x + 4) (y − 3) + 4(y − 3)² = C O (x+4)² + 2(x +…

A: We have to find the solution of the given differential equation.

Q: Find the surface area of the figure. 10 m 4 m m

A: SOLUTION-

Q: Use the tabular method and the properties of limit to find the limit lim x-1 2x + 2x 3

A: Given, limx→12x+2-x3

Q: (b) lim √√9x-11 -4 X-3

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Q: A car wash firm calculates that its daily production (in number of cars washed) depends on the…

A: The question is different . Here , differentiate w.r.t to n

Q: Use the tabular method and the properties of limit to find the limit lim x-1 2x + 2-x 3

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Q: 2. A curve is defined by f(x) = a√√x+b, where a and b are constants. the point (4, 6), determine the…

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Q: 히증

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Q: Given the equation of parabola y² + 4x - 2y - 11 = 0, find the following: A. Standard form / Vertex…

A: Solution is here

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Q: Find y' if y= 48x³+34x2-8x+15 (4x-1)² 48x³+34x²-8x+33 (4x-1)² If y = 3u² - 2u + 4 and u = x² + 3x -…

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Q: Let g(x, y) = sin(8x + 2y). 1. Evaluate g(1, -2). Answer: g(1, -2) = sin (4) 2. What is the range of…

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