What are the applications of these derivatives?

Q: Find the maximum and minimum limits of the function X-2 (x + 2)²

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Q: 7) Find the critical point (s) of f(x, y) = 2x³ + 3y² - 9x² - 30y + 12x-3. Then use the second…

A: solution is given below...

Q: Find the transition points. y = 15x³ + 360x² (Use symbolic notation and fractions where needed. Give…

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Q: Find an equation of the sphere concentric with the sphere x^2 + y^2 + z^2 + 4x + 2y − 6z + 10 = 0…

A: Topic = Geometry

Q: y" + y = 3x sin x

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Q: A rocket is propelled vertically upward from a launching pad 150 metres away from an observation…

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Q: Acceleration due to gravity in feet per squared second is the constant function a(t) = -32. Suppose…

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Q: Find the derivative of y with respect to x. y= (x8 Inx) 5

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Q: gh (2,-5), parallel to y= 2x+4

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Q: 5. Solve the equation = 170. 6. Solve the following logarithmic equations. (a) log, (+5) = log, 3…

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Q: Find the absolute maxima and minima of the function on the given domain. T(x,y) = x² + xy + y² - 9x…

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Q: 2. S dx x²-x+2

A: Given problem:-

Q: 5. y³ = 4(y + x²)

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Q: 1–2 = For each of the following functions given by power series, find f'(x) and f f(x) dx. Do not…

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Q: Directions: Using Fundamental Theorem of Calculus (FTOC), compute the following definite integrals.…

A: Since you have posted a question with multiple sub-parts, as per company guidelines we will solve…

Q: Consider the positively oriented surface S₂ defined by the vector function R(u, v) = (u sin v-3, u…

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Q: Consider the matrices shown below: Compute CT-A 3 07 A = -1 2 E -B C = 13] 3 1 5

A: Given: A=30-1211, C=142315

Q: Let f defined by f(x) = 2x³ + 3x² − 5 at [-1,1], Consider the following statements 1-It reaches an…

A: The given function,   fx=2x3+3x2-5 at -1,1

Q: (a f (x) + b g(x)) '= a f (x) + b g'(x)

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Q: x Let a and b be positive real constants, and let y = f(x) such that tan ay statements is TRUE? O dy…

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Q: 5) Find the area enclosed by one petal of r= cos (40)

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Q: Qol find the derivative of: - f(z) = (2+22²1/2²) ¹/3 14 3) f(²)= (1+2²) ³/2 -3 7 f(z) = (iz-1)³

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Q: Solve for the general solution of (ylny-e^-(xy))dx+(1/y+xlny)dy=0

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Q: Consider the matrices shown below: A [閒 Compute tr((CTB)AT) 25

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Q: Consider the equations 2x - A) x² - 2x x³ +8 0 and B) = 0. x³ - 8 Which of the following statement…

A: We can find the answer in the following steps.

Q: 6. Let f(x) = x³ + 6x² - 15x - 10. a) Find the intervals of increase/decrease of the function. b)…

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Q: The figure is the graph of the derivative, f', of a function f on [-4,4]. A Determine the intervals…

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Q: For numbers consider a plane bounded by the curve y = 4-x² and the x-axis. Which of the following…

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Q: Find the critical points of f(x) = -2x4 + 2x² - 6 and apply the Second Derivative Test (if possible)…

A: Given problem:- Find the critical points of f(x) = -2x² + 2x² - 6 and apply the Second Derivative…

Q: Forces of 36N and 50N act upon a body at a 50° angle. Find the magnitude of the resulting force and…

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Q: If z=x2sinh 4 then 02z дхду

A: Explanation of the answer is as follows

Q: Find the critical points of f(x) = x³ - 21x² + 144x and use the Second Derivative Test (if possible)…

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Q: Is it possible to solve all the points with Finding Domain and Range 1) y sin x 2) y = cos x J= tan…

A: Solution is given below

Q: Determine the intervals on which the function is concave up or down and find the points of…

A: solution:-f(x)=6x3-11x2+1f'(x)=ddx6x3-11x2+1=18x2-22xf''(x)=d2dx26x3-11x2+1=36x-22

Q: Use power series operations to find the Taylor series at x = 0 for the following function. 7x² −14+…

A: Taylor Series expansion of 7x2-14+14cosx at x=0

Q: Find dy and simplify whenever possible. 1. y=(5-6x)¹2 4x-5 2. y=--- 2x + 1 3. y=(2x+5)(4x−1)

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Q: 4. Find the components of the vector with the opposite direction to that of the vector from M(2,3,5)…

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Q: Consider the following matrices: r 2 2 C# -H -N A = B = 30 1 € 4 1 0 -5_ Perform the following…

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Q: If the currency-deposit ratio is 14% and the reserve ratio is 15%, what is the size of the money…

A: Money multiplier

Q: In 2000, the population of a city was 154,800. The population had dropped to 112,700 by 2007. Find a…

A: We have to find the formula for A(t).

Q: Evaluate the following integrals: 4x 6. ₁² x 3x²y²dy dx

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: B-Soive the Differential equation : Y 1 x√√x+x = 0, y(9)=1.

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Q: Given the function defined by f(x) = 3x² - 4, find f'(2)

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Q: Find the area of the region bounded by the curves below. Sketch its graph and shade the region. 1.…

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Q: The quotient of z1 =6 cis (2/3); z2 =2 cis (1/6) in trigonometric form is;

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Q: 8. Evaluate 2 (9x² - 10x + 6)dx

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Q: 3. Let there be some a, b R such that f(a)ƒ'(a) = f(b)ƒ'(b) + 1. Show that f f(x) f"(x)dx ≤ 1.

A: This is a problem related to integration. Based on the general formula and concept we will prove the…

Q: A sort of "decay" Suppose that newly-baked cupcakes are taken out of the oven which is set at 100…

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Q: Suppose that 3x² - y² = t² and y=tsin 0. Find (27). = sin e 0 X = 0 and

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Q: Find the area bounded by the parabolas y2 = 4x and x2 = 4y

A: Given curve: y2 = 4x and x2 = 4y To find the area between y2 = 4x and x2 = 4y First find the…