The slope of tangent lines to a curve y=f(x) is given by f'(x)=1/√√x +4x^3-1. If the point (1,6) is on the curve of y=f(x). Find the Equation?

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A: Aaaà

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A: Given problem:- Determine the derivative to y2 = x3 + y3 + 2xy

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A: We need to solve the two questions.

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Q: Problem 6. Find the equation of the tangent line to the curve x²y-ay² = -6 when z = 2.

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Q: defined on the interval [-9.4247778, 1.45619445]. Enter points, such as inflection points in…

A: Solution: Given f(x) = sin2(x/3)       interval [-9.4247778 , 1.45619445]

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Q: Question 20 sin t Dz 20 sin T I COS T sin r I COS I I Cos I sin z 2x² COS T 2 JORNAL 27² MAN dabiskt

A: Here, to find the derivative of sin x2x which is a rational function. So, we use the quotient rule…

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Q: -1 If f(x) = e calculate ƒ '(2).

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A: Disclaimer: Since you have asked multiple question , we will solve first part of first question for…

Q: Find an equation of a line that passes through a point P (-3, 5, 4) and is parallel to the given…

A: Given problem:- Find an equation of a line that passes through a point P (-3, 5, 4) and is parallel…

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A: We need to draw graph.

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

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Q: If y = (3 + 2x), what is y"? 00 48(3 + 2)2 © 12(3+2r)? O24(3 + 2)²

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A: Let's find volume of solid(V).

Q: x³-7x² +10x x²+x-6 4. lim: x-2 5. lim sin лw w4 w²2²-16

A: The objective of the question is determine the indeterminate form of given limits.

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A: Follow the procedure given below.

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A: Explained below

Q: * 4X+1 X+7<6X-1. 6 OX<-89/2 (-∞, - 89/2) OX<-89 (-89) OX<-2/89 (-∞, -2/89) OX<∞ (89/2,00)

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Q: Find the general solution of the given ODE * dy x+2y-3 dx 2x+y−3 (x+y)³ = C(x + y − 2) Option 1…

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A: Let's solve.

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A: Given:    f(x) = x2 + x

Q: Find : dw/dk α w=2 sin m ka 2

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Q: Please solve the last 2 parts as well please from the above equation

A: This question can be solved using the concept of derivatives.

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Q: f(x.y) =e^sin(y) + In(xy) ; әз of Әхд-у

A: See the answer below

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A: Solved below.

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Q: Q:1) Evaluate the line integral: [[xy'dx+x²ydy] C: [(x, y): x=t₁y=f²,0 ≤t≤1].

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Q: 1. Evaluate the integrals below. 5x²-x +3 (a) J x³ + x (b) [√v √√√x – 1 dx dx

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Q: Question 8 At what numbers is the function f(x) = Sommer O At all real numbers O At all real numbers…

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Q: Use the graph of f(x) shown below to determine each of the following limits. If any of the limits do…

A: Consider the graph given below :