If g(x) = g(x) - g(2) x, then im =80 x →2 X - 2 (а) True (b) False fram

Q: Find an equation of the tangent line to the graph of the function at the given point. y = sinh(25 – ...

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Q: Find the derivative of y with respect to x. y = tan(In 4x) O A. x/1+ ( In 4x)2 1 О в. 1+ ( In 4x)2 4...

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Q: Find T3 (x) centered at c=0. f(x)=e-x tanx

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Q: Find the value of a that makes the following function differentiable for all values of x. ax if x<0 ...

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Q: Suppose u and v are functions of x that are differentiable at x = 0 and that u(0) = - 4, u'(0) = 7, ...

A: i) We use the product rule  

Q: Show that lim 1+ = e* for any x> 0. Let c= Rewrite the limit in terms of c. Choose the correct answe...

A: Given,  

Q: What does the following table suggest about lim f(x) and lim f(x)? 0.9 1.001 0.99 0.999 1.1 1.01 431...

A: From the part on the left side of x=1  we get, as x approaches 1 from the left side, then f(x) appr...

Q: A ball is thrown upwards with an initial velocity of 64 ft/sec from the top of a building which is 8...

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Q: a 20-ft ladder is leaning against a building. if the base of the ladder is 6 ft from the base of the...

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Q: Suppose that y = f(x) is differentiable at x = a and that g(x) = m(x - a) +c is a linear function in...

A: You have correctly answered the first part. I will straightway go to the second part.  

Q: Show that there are infinitely many solutions to the boundary value problem y′′ + 4y = 0, y(0) = 0, ...

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Q: C.

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Q: A box with an open top is to be constructed from a square piece of cardboard with dimensions 4cmx4cm...

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Q: A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 4 m above the bow...

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Q: The sales of digital cameras (in millions of units) in year t is given by the function f(t) = 3.07t ...

A: Given: The sales of digital cameras (in millions of units) in year t is given by the function f(t) =...

Q: Consider the curve defined by xy + y2 = 21 Determine dy/dx for this curve at the point (4, 3)

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Q: Use implicit differentiation to find 8Vy = x-y (4 + Vy) - vỹ 2(4 + Vy)3 (wrong) dy dx

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Q: 5.2 # 11   can you please help me, there are more than just A, B, and C can you do as many as possib...

A: a) Factor out 5 and then write the integral in two parts and plug the given values.  

Q: 5.4   8

A: To find the average value of the given function on interval [-1, 1].

Q: (Inx)" dx

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Q: 5.3  15

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Q: The voltage V (volts), current I (amperes), and resistance R (ohms) of an electric circuit like the ...

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Q: The length of a rectangle is increasing at a rate of 3 cm/s and its width is increasing at a rate of...

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Q: 5.3   14

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Q: Suppose that y = f(x) is differentiable at x = a and that g(x) = m(x - a) +c is a linear function in...

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Q: Marginal Cost Functions  The management of National Electric has determined that the daily marginal ...

A: The  daily marginal cost function associated with producing their automatic drip coffeemakers is giv...

Q: calculate the integral in terms of the inverse hyperbolic functions.

A: We know that   

Q: Solve the initial value separable differential equation (where a is a non-zero real number): dy/dx=4...

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Q: x² closest to the point (0, 8). 6. Find the point(s) on the curve y =

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Q: Define the term linear functions?

A: A function of the form f(x)=ax+b is called a linear function. Where a and b are real numbers.  A lin...

Q: Using the definition, find the Taylor series. Represent the final answer as a summation. f(x)=cosx, ...

A: Consider the function  

Q: Find the area of the region bounded by y = cos x, y = sin x, x = 0, x =

A: Please see the diagram below:

Q: Find the limit if it exists, or show that it does not exist. lim (z.v)-¬(0,0) xª + 4y²

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Q: A man starts walking north at 4 ft/s from a point P. Five minutes later a woman starts walking south...

A: Consider the figure that illustrates the scenario.

Q: Let  f(x) = −3x2 + 2,  and compute the Riemann sum of f over the interval  [1, 2]  by partitioning t...

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Q: lim Xx→21

A: We solve this limit by substitution We plug x=21  

Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole ...

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Q: 5.5 12

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Q: a. Find an equation for the line perpendicular to the tangent to the curve y = x' - 9x + 4 at the po...

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Q: The length / of a rectangle is increasing at a rate of 2 cm/s while the width w is decreasing at a r...

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Q: Need help with 13, 14, 15

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Q: dy dfy Use implicit differentiation to find and dx dx2 8Vy = x- y (4 + Vy) - Vỹ 2(4 + Vy)3 dy -(wron...

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Q: Suppose that y = f(x) is differentiable at x = a and that g(x) = m(x - a) +c is a linear function in...

A: E(x) = f(x) - g(x) were small enough near x = a hence,

Q: A helicopter hovers at an altitude that is 1000 feet above a mountain peak at an altitude of 5,210 f...

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Q: Need help with 1, 2, and 3

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Q: V1+h - 1 Hint: Set x = I +h, express h as a function of x, and rewrite as a limit as x → 1. Evaluate...

A: Let,  

Q: 5.4.  15

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Q: Let p and q be integers with q > 0. If y = x, differentiate the equivalent equation y = x° implicitl...

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Q: ad the limit if it exists, or show that it does n lim (7,v)-¬(0,0) xª + 4y²

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Q: Find the inverse function of f. f(x) = 5 – 6x3 f1(x) =

A: Consider the function   

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.