Evaluate the limit: lim+∞ In √x+5x 7x

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A: for critical points  f'(x)=0d dx(xn)=nxn-1

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A: figure:-

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A: Topic - Local extrema's of a function We are given an equation, f(x)=2x3-45x2+300x+9And it's known…

Q: 7. (a) Let f(x) = 5x5 + x¹ − 2x³ – 1. Explain why f is continuous on (-∞, ∞). (b) Show that f(x) has…

A: We know a polynomial function is continuous in the whole real number plane. If f(x) be a continuous…

Q: J.J. Sm 35.) a. cos 210° 36.) a. cos TC 6 DICUS DIJ b. cos 90° b. sin TU 3 C. COS SEU c. sin(-120°)…

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Q: Suppose the derivative of f is given by f′(x) = (x −4)2(x +3)7(x −5)8 On which interval(s) is f…

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A: If the rate of change of a population is directly proportional to the square of the population and…

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Q: 2. Let f(x) = x3 3 -x+1. "Somes to (a) Find the value(s) of x for which f'(x) = 0. (b) Find the…

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Q: Atmospheric pressure P in pounds per square inch is represented by the formula P = 14.7e-0.21x,…

A: Given P = 14.7e-0.21xwhere P = atmospheric pressure in pouds per square inch x = number of miles…

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Q: Question Three (a) Prove that F(x, y, z)= (y² cosa+z³)i+(2y sin a-4)j+(3rz+2)k is a conservative…

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Q: Find the linear approximation of f(x) = ln x at x = 1 and use it to estimate ln(1.4). L(x) =…

A: Given function:- fx=lnx

Q: 3) Consider the function G(x) = f g (t) dt. Find the derivative G' (x). O g(x) g(x)-g(1) O g(t) O…

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Q: Obtain the general solution by the indicated technique: separation of variables 1.1 adß+…

A: Since you have asked multiple questions in a single request we would be answering only the first…

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A: To determine the given value with derivatives and function

Q: 2700 360 * 31, cos 0 = 1/8, 311/2 <0 < 2 ४ 1% کے too (1) ³+ (8) ²

A: given  cos∅=183π2&lt;∅&lt;2π there for ∅ is in 4 quadrant in 4 quadrant sin∅ is negative and tan∅ is…

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A: Given query is to find loan amount.

Q: original function is 2x^3+3x^2-12x+1 derivative= 6x^2+6x-12

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Q: Find a value of c so that f(x) is continuous at x = 1. f(x) = O c=1 O None of these Oc=0 ○ c= -1 O…

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Q: solution to evaluate 3 2+1 y-1 ГГГ x + y2 dx dy dz ? Z 3 4 Ⓒ √ ²² - ² - ² + + 2+1 A 6 2 2 В 3 o fl с…

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Q: 5. Find the equation of a parabola with vertex at the origin whose properties are given below. a.…

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Q: Use a second derivative test with a well written conclusion to find the inflections point of the…

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Q: 6. (a) Let f(x) g(x) = k 4- x Find lim f(x), lim f(x), and lim f(x). Find k so that f(x) is…

A: (a).The given function is:f(x)=x2+2               x&lt;1kx=14-xx&gt;1

Q: Consider the function below. x + 4 f(x) +4 (a) Find the exact value of the maximum of f. f(x): = X =…

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Q: 2 y² = 2x - 2, y = x - 5

A: For each item, use Desmos to graph the given equations and shade the plane region bounded by the…

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Q: Directions: Show all your work neatly and in order. 1. Find the mass of the solid E bounded by the…

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Q: Determine the solution for the following higher-order nonhomogeneous differential equation. Also,…

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Q: + on 0 = -1/3 cohere 10404190 Find Sin 2 0

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Q: Prove: If U AUB and An B = Ø, then A = U\ B

A: we can prove the  given statement .

Q: have found the minimum distance using the second derivative and write a thorough conclusion. to a…

A: Given:    Curve      y=lnx2   Let x,y be point on curve             Another point is 52,0 We know…

Q: If t = 3' a) sin t 1. 39463NT 2.0 3. 5. 7. 6. None of these 1 √2 005 (part 2 of 3) 1 1.1 2. 2936 co…

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Q: limg-5 5-x 2-√x-1

A: The Solution is given below:-

Q: A water tank in the shape of an inverted circular cone has a base radius of 2 m and height of 3 m.…

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Q: (c) Let F(x, y, z) = x 3 i + y 3 j + z 3k. Compute the following: (i) ∇ · F (ii) ∇ × F

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Q: 3. The area of a circle increases at a rate of 47 cm²/s. How fast is the radius changing when the…

A: We can find the required answer in the below steps using the given data.

Q: Evaluate sin (945°) without using the calculator. 1. 2. INGNINGS- 3. 4. 5. None of these 1 6. 2

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