Find the general solution to the hypergeometric ODE #(1 – 2)y" + (; - 2-) a - - 0. 3 ) y y = 0.

Q: please find the first and second derivatives and show complete solution

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Q: : Q2) Find the derivatives of each of the following functions? 1- y= tan (V3x + In(5x)) 2 y In…

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Q: Four equations are provided below. Which equation follows from the Power Rule? I. (P)' = pr P 1…

A: Answer is option (a)  Because only equation 3rd follows the power rule .

Q: If zis implicitly defined as a function of x and y by xy-yz+xz=0, find dz/dx. (y+z)/(y-x)…

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Q: The trigonometric substitution x - 2 = 3 sec could be useful in integrating a function (i.e., an…

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Q: Determine the coefficient of a° in (1– 5a³)® by completing the following given steps.

A: we have to determine the coefficient of a3 in 1-5a35. as we know that if we have (x+y)n then the…

Q: Find the derivative of the function. 10) y = (x + 1)2(x2 + 1)-3 2(x + 1)(2x2 + 3x - 1) (x2 + 1)4…

A: Given:        y= x+12x2+1-3

Q: A) 2xe-x(x + 2) 30) u(1) = 2, u '(1) = -7, v(1) = 7, v '(1) = -3. d at x = 1 dx u B) 2xe-X(2-x)…

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Q: 3) Show that the function 13-212+2 g(2) = is a Complex differontiable function ait the point 20 =1…

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Q: G. (CHAIN RULE) 1. f(x) = (3x² - 2x+4)² 2. y = sin 2x 4 (a² - y²)² 4. g(x)= (3x² + 4x - 5)5 3. 2 =

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Q: Question 20 Find the derivative: x²(x² + y²) = y² y = - fo Ov fi P r(2x+y) (1-²) v(22:²-²) x(1+z²)…

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Q: For a function g, we are given that g(-6) = -8 and g'(-6) = 3. What's the equation of the tangent…

A: For a function , we are given that  and .To find the equation of the tangent line to the graph of…

Q: 3. Find the derivatives: 3x3-4 a) f (x) = b) y = (x2 + 6x + 2) (+ Vx5 + 3) DO NOT SIMPLIFY 2x²+3 c)…

A: a) Use quotient rule of derivative and find the derivatives of above function.

Q: Example 4. Differentiate with respect to 'x': 2 - 3x + 4 - X + x + 2

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Q: B- Graph the following: ( 1) y = -sin (x-1) +3 Q2) A- Find the derivative of the following: ( 1) y =…

A: We have to find part B and question 2) part A (1 to 4).

Q: Q. No.1 a) Use logarithmic differentiation to find dy/dx of the expression: 3 2(2x+1)(x-3)…

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you.  If…

Q: 9) For the transformed function y = 4 cos[3(x - 20°)] + 5 state the amplitude, the period, the phase…

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Q: Find the derivatives – do not simplify a. y= x4- 3square root of x + 5x2/3 +8/x-3

A: ddxxn=n xn-1

Q: 1. Find the natural domain and the derivative of the given function. (a) 3x² +7x + 5, (b) (3x +1)5,…

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Q: f(x) = - 3 sin x, g(x) = sin 2x, h(x) = (f + g)(x) hoose the correct graph. f(x) = - 3 sin x is the…

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Q: The average daily height of a river can be modeled with a cyclic function. The minimum average daily…

A: Given that: Minimum average daily height = 16 meters after 5 days gives y(5) = 16 Maximum average…

Q: find the derivatives complex funcation. {tanh¬'(iz +2)}-1,

A: fz=tanh-1iz+2-1=1tanh-1iz+2 It is known that tanh-1x=11-x2 so it follows:…

Q: (1 point) Approximate cos(4.6) using a quadratic approximat First note that cos(4.6) cos(3/2). Let…

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Q: What is the equation of the graph below? (x.0) (22.-2) O y = sin (2x) - 1 %3D O y = cos (2x) - 1 O y…

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Q: The directional derivative of the function = x? - xyz + y at the point (1, 2, -1) in the direction…

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