Q4 Mode df Jx X= 26 How? -0.90623 sin(1-13x)=0 ㅗ 20.5772 V3

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A: A point moves on the parabola y^2 = 8x in such a way that the rate of change of the ordinate is…

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Q: 2) Σ=1 (2i – i3)

A: ∑i=1n(2i - i3 ) 2∑i=1ni - ∑i=1n i3   here we use formula  ∑i=1n i = n(n+1)/2 ∑i=1n i3 = n2(n+1)2/4…

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

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Q: Evaluate the integrals: x² dx (x-1)(x²+2x+1) -dx 1. S 2. S x²+2x x4-3x²-4

A: Here we have to find the integral.

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A: To find the value of 'n' variables we need 'n' number of equations.In this question we have to find…

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

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Q: You are in the process of solving x³y² - 7x³y = cos (7x), x > 0 which of the following would be…

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Q: What is the value of y if x=y-7

A: What is the value of y if x=y-7

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A: This question is based on application of derivative to find slope of tangent line.

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A: As you mentioned question no. 2 solved

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A: Given the series,     ∑k=1∞3k3+3k2+5

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A: This question is based on application of diffrential equation.

Q: Given f(x) below, find f'(x). Do not include "f'(x) =" in your answer. f(x) = (3x³ + 3x² - 4).x²

A: Given, f(x)=(3x3+3x2-4)x2

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Q: 12.Find a quadratic polynomial if sum and product of zeros are given (i) 9/20, 1/20 (ii) 2,√3

A: Topic = Quadratic equation

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Q: Refer to the figure and find the volume generated by rotating the given region about the specified…

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Q: The point (a, b, -7) lies on the line L1: [x,y,z]=[3,−1,4]+s[4,3,−1] Determine the values of a and…

A: Given: To determine: value of a and b

Q: Let be the arithmetic sequence defined by the formula a = 11 + (n-1) × 6 Apply the concepts of the…

A: Given tn= 11 + (n-1) × 6 Compare with tn= a+ (n-1) d⇒a=11,d=6

Q: Consider vectors A-40+30) and B-4.02 +8.03. ▾ Part C If the direction (but not the magnitude) of B…

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Q: Given f(x,y)=e³x² find the directional derivative at the point (-2,0) in the direction of (2,-3)

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Q: 4 6. √√√√x³ = x²(3x² – 2x) dx -

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Q: In problems 1 and 2, list both the order of the DE and state whether the DE is linear of nonlinear.…

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Q: 2. 6 cos 2x dx

A: To evaluate the given integral.

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Q: Double-angle Formulas (d) sin 20 = 2 sin cos 0 (e) cos 20 (f) tan 20 = cos²0-sin² 0 = 1-2 sin² 0 = 2…

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Q: Refer to functions p and q. Evaluate (qop) (x) and write the domain in interval notation. Write your…

A: Topic = Functions

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Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) X-3 X→-1 a. Find lim f(x) or…

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Q: Determine the modulus and the principle argument of the following complex number: (2 + 4i) (2 + 2i)…

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Q: 3. Tank A contains 80 gallons of water in which 20 pounds of salt has been dissolved. Tank B…

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Q: Using lim 0-0 sin 0 0 =1, find the limit. lim 18x (cot x)(csc 9x) X-0

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Q: Express the given quantity as a function f(x) of one variable x. the perimeter of a rectangle of…

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Q: 5. x+2 (x²+4x-3)5 dx

A: This question is based on indefinite integral.

Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

A: Given:  f(x)=12x3−63x2−72x+6 To find the critical point evaluate f'x=0