Find an equation of the tangent line to the graph of the function at a given point. Do not use the limit definition of slope.) 1. y =- ; (1, 3) x2+1

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A: Given:              p(x) = x2+5xx-1    applying quotient rule to differentiate with respect to x, we...

Q: Problem 2: Given z = 2 + i, 22 = 1 + 3i, zz = -4i and z4 = 2 – 3i.Evalua (a) (f) Z4 - z1 Z3 (b) |Im{...

A: Given; z1=2+i, z2=1+3i, z3=-4i and z4=2-3i Repost the next parts.

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Q: Evaluate the indicated function for f (x)=x²+6 and g(x)=x-5. (f/g)(-4)-g(6)

A: Given query is to find indicated function.

Q: 6. 4 -6 -4 -2 -2 24 6 -6 -4 -2 -2 4 6 -4 -4 -6 -6 (a) Graph of f (b) Graph of g 2. 2.

A: Refer to the graphs given in item 2. Determine the interval/s where f and g are continuous. Identify...

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Q: Suppose u and v are differentiable functions of x. Use the given values of the functions and their d...

A: As we know that the derivative of uv form is given by ddxuv=u'v-uv'v2 see below the answer and calcu...

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Q: If g(t) = 2r +9t2-7 find. %3D g(0) = -7 g'(0) = -7 g" (0) = g"(0) = %3D g(4) (0) = g(5)(0) =

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Q: You plan to save money for a down payment of $42,000 to purchase an apartment. You can only afford t...

A: Please see the below picture for detailed solution. 

Q: Within the interval ( -0.92, 1.69 ), for what value of x does f(x) take on a minimum if f(x) = -3 si...

A: Let's find. 

Q: show that y=seclx) is a solution to and use reduction y° -2tanGe)y'- of order to find a second, line...

A: see below the answer and calculation

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Q: Given that - 3| de k then the value of will be given by В. 13 10 C.I D. 14 E. None of the given choi...

A: We will find the value of k  in the following step.

Q: Suppose z is a differentiable function of x and y implicitly defined by the equation E : 2³ + xe² = ...

A: Given function z3+xez=2-y3+lny3 cos(y+1)

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A: derivative

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Q: Solve for the 35th term, 40th term, 47th term, and 49th term of the Fibonacci sequence. Show your so...

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Q: The path of a total solar eclipse is modeled by f(t) = 0.00357t -0576t + 24.586, where f(t) is the l...

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Q: finalize answer free of logarithms and radicals express. Express final answer equated to a constant ...

A: The given problem is solved below in detail.

Q: Find dy/dx 1. sin^−1(xy) = cos^−1(x − y) 2. sec^−1(2y cos x) = x^y

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Q: Diana obtained a business loan of $315,000 at 4.44% compounded semi-annually. a. What was the size o...

A: Given:    P = 325000    r = 4.44%     t = 30  Compound Semi Annually: n = 2

Q: Solve. 5x - 3 = - 2 Select the correct choice below and, if necessary, fill in the answer box to com...

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Q: 4. If f is a differentiable function of x and y with w = f(x, y), x = r cos 0 and y = r sin 0, show ...

A: Given, w=f(x,y) x=rcosθ and y=rsinθ

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Q: ne sketch. base 120 130 140 QUESTION 6 Water is scarce in South Africa. The annual average rain fall...

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Q: What is its interval of convergence? (-1)7+12nx" Σ n2 +3 n=1

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Q: Find two functions f and g such that (f o g)(x) = h(x). (There are many correct answers. Use non-ide...

A: here f(g(x)) = h(x) =5-x so lets g(x) = 5-x and f(x) = x so this make it f(g(x)) = h(x) =5-x so this...

Q: Solve. V2x +9 = x- 3 Select the correct choice below and, if necessary, fill in the answer box to co...

A: topic - solution of equation

Q: Write out the form of the partial fraction decomposition of the function (as in this example). Do no...

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Q: Find the arc length of y = 7r +1 over the interval [0, 2]

A: y = 7r + 1 arc length=∫02 1+(dy/dr)2dr dy/dr = 7' arc length=∫02 1+(7)2dr arc length=∫02 50dr arc le...

Q: Solve. 3x 12 96 %3D x-4 2- 16 X+4 .... Select the correct choice below and, if necessary, fill in th...

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Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

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Q: Find f'(x) for f(x) = (x² +4) sec(x) f'(x) = x^2secx+tanx+4secx tanx+2x secx %3D

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Q: Q3) Find the Lagrange polynomial that fits the following set of four poin value of y at x-0: Ans. y=...

A: Given: - The set of four points, x -2 3 1 7 y 5 7 11 34 To find: - The Lagrange polynomial t...

Q: Does the following power series converge for all real values of x? n=1 O It converges for all real v...

A: We will do ratio test for convergence test

Q: (11) Which of the following functions f: Z x Z Z is injective (A) f(1,y) = 1/y (B) f(x,y) = x+y (C) ...

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple quest...

Q: (a.) the critical

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Q: Cameron set up a fund that would pay his family $4,000 at the beginning of every month, in perpetuit...

A: We have to find the size of investment.

Q: Find the relative extreme points of the function, if they exist Then sketch a graph of the function....

A: Given that fx=-3-x23Solution :if f'x  +ve to -ve then maxima occurs .if f'x  -ve to +ve then minima ...

Q: A force F = -3i +j+6k acts through the point (5,-2,-1). Find its moment about the point (3,0,2).

A: Moment of force about the point is given by cross product of position vector r about a point and for...

Q: GIVEN: Center (-4,3) and P (1,-1) CIRCLE Find the Standard Form and the General Form

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: If f (x) dx =-4 and h (x) dx = 7, which of the following must be true? 1. f (x) <h (x) for all a <x ...

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Q: (-1)*+1 1- 2n Given the set A= .The infimum of A is

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Q: How much money should Cody invest today into a fund that earns interest at 4.75% compounded quarterl...

A: Here, the effective semi-annual interest rate =1+quarterly rate2-1 where quarterly rate =4.75%4=1.18...