Find the value of that will make the function f(x) continuous everywhere. f(x) = {ka² -2, (4x+k, x≤-5 x>-5 -5 such a k does not exist 92

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Q: f(x) = 27x² + 3x5 - 24x³ + √2x f(x) = + √2x 3 x x5

A: Find the general anti-derivative F(x) + C for the following problem:

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Q: 4. Find the general solution to each of the following differential equations. (a) 2xy² - 1 +…

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Q: 17. Find the volume of the solid that results when the region enclosed by y = √x, y = 0, and 2 = 9…

A: According to our guidelines, we can answer only the first problem or first three subparts of a…

Q: B. Determine whether the following definite integrals converge or diverge and evaluate each…

A: Here we have I=∫01dxx

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A: I am attaching image so that you understand each and every step.

Q: Two numbers whose product is 1 are called opposites. صواب خطأ

A: Opposite of a number is just negative of that.If x is number then -x is its opposite number not 1x.…

Q: The Critical Point of y = xe*

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Q: 15. Ssin (In x) dx.

A: If  u and v are function of x then the integration of uv by parts is given by…

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A: Application of differentiation

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Q: :- Find the volume of the solid between y = x+1 which obtained the curves y = (x-1)² and by rotation…

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Q: 18 The value of f (3), for the following function f (x)=√√2x-2 14 A C There is no real solution BC…

A: We have to find Function value

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Q: For questions no. 2 and 3. Given: A thermometer reading is 60°F at 3:00AM and a Civil Engineering…

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Q: (a) Find the point of intersection of the tangent lines to the curve r(t) = (2 sin(at), 3 sin(at), 5…

A: We have to find equation of tangent.

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Q: Simplify 6x4+9x³ – 12x² -3x²

A: Here we have Simplify the 6x4+9x3-12x2-3x2

Q: The solution interval of 2y +1≥3 or 3y1 or y< -11 BO

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

A: Given,f(x)=4xe-9xWe know that,An inflection point is a point on the graph at which the second…

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A: Let's solve diffrential equation by using substitution x=e^t  or t=ln(x).

Q: The Minimum point of y = 3x+6

A: Find out the minimum point of the function.

Q: For questions no. 2 and 3. Given: A thermometer reading is 60°F at 3:00AM and a Civil Engineering…

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Q: Find ?хду of z = x3 + 5x² y + 6

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Q: For questions no. 4 and 5. Given: Radium decomposed at a rate proportional to the quality of radium…

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Q: 1. INTEGRALS AND ITS APPLICATIONS x2- √(¹-2)² dx S

A: Solution is here

Q: NT2093E Form a differential equation representing the family of curves 4 a (b + 2y); a, b being…

A: We have to form a differential equation representing the family of curves  3x2 = 4a(b + 2y)  a , b…

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A: curve : y=99x-x2x1=1   and   x2=7.5

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A: 10)  P=VI P=115.45*4.7 P=542.615 watt(w)

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A: Let's find area (A).

Q: T Shift Ctrl -3 S x²4x +3 2 1 X(X + 1)² dx

A: First we take partial fraction then integrate.

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Q: Question 1 A body cools from 60°C to 50°C in 5 minutes. How much more time (in minutes) will it take…

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Q: Question 2 Given a differential equation as करवर d'y dy dx² +6x +6y=0. dx By using substitution of x…

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Q: Determine the derivative -d/ 4 8 +³−1 - 17x y= y = 25 x-5 x+6

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Q: 3. The Critical Point of y = xe-*

A: Answer :-  We have to find the critical point of y = xe-x