Evaluate the following functions. 1. lim x2 • coS X X 4.

Q: The demand function for a company's product is p = 24e-0.39 where g is measured in thousands of unit...

A: Given query is to find cost per unit for the first part and the unit sold for the second part.

Q: 00 T LO uonsan Find a formula in each part below for the number of zebra mussels in a bay as a funct...

A: topic - functions

Q: c/sechudu= tan -' Csinho) +c C.

A: To prove:- ∫ sechu du =tan-1(sinhu) +C

Q: 2 Using the definition of derivative, prove the following: (a) f'(x) = x if f(x) = x %3D

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Q: Use the four-step process to find f'(x), and then find f'(1), f'(2), and f'(3). f(x) = 4 + 5-/x f'(x...

A: Given the query is to find the derivative of the expression using definition.

Q: y = (r2 – 7r)e" y' =

A: We have to find derivative

Q: For the following exercises, find the lengths of the functions of X over the given interval. If you ...

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Q: The monthly revenue R (in dollars) of a telephone polling service is related to the number r of comp...

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Q: Find the slope of the function's graph at the given point. 8 Function: 9(z) %3D Point of g is at (2,...

A: Slope of the tangent is obtained by dy/dx

Q: If c = -0.148, simplify the expression cos(cos-| (c)). If undefined, enter Ø. Provide your answer be...

A: Given the query is to find the value of the expression.

Q: A triangle in R3 has two sides represented by the vectors = (2, 3, –1) and OR = (1, 4, 1). Determine...

A: Topic:- vector algebra

Q: Consider the demand equation where x represents the quantity demanded in units of a thousand and p i...

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Q: 2. dx 2. Solue integra

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Q: If T is the point at a distance T from P(1, 0) on the unit circle with its center at (0, 0), in what...

A: Given :- unit circle with centre (0,0)

Q: Let P be the point (4,5,5) and Q be the point (2,5,3). What is the distance between P and Q? You may...

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Q: Using logarithmic differentiation fx) = x° [2x+ 3 (x*+1)4

A: NOTE: Refresh your page if you can't see any equations. . take log on both sides

Q: 5. Let L and Q be lines in R³ given by the equations below. Line L:y +t-3 日- 3 Line Q : -13 +r |3 13...

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Q: what is the maximum number of regions that can be formed if 6 lines are drawn to cut a circle

A: Follow the procedure given below. 

Q: Evaluate sin (2r)dr

A: From formula Sin 3x = 3 Sin x - 4 Sin3 x - 4 Sin3 x = Sin 3x - 3 Sin x multiplying - both side 4 Sin...

Q: x² –4 2. Find lim x→2 X-2 You must show your work or explain your work in words.

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Q: 23. lim (1 + x)cotx

A: As you have asked for question 23 only. So I am solving that only.   Let f(x),g(x) be two functions ...

Q: 2. If x-xy+y = 3 find y and y".

A: 2. According to question,Given equation,x2 -xy + y2 = 3 "Since you have asked multiple question, we ...

Q: The partial fraction decomposition of 4x2 x + 7 can be written in the x3 + 4x2 + 9x + 36 f(x) g(x) +...

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Q: dy Use implicit differentiation to find da y? + 7x³ 5y – 4x?

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Q: A manufacturer can produce 4590 cell phones when z dollars is spent on labor and y dollars is spent ...

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Q: 12. Determine the definite integral 7 sint 0 cos3 0 de

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Q: (x+1)dy = (2xe* - xy - 2y)dx 90° %3D 381 -IS3

A: First we find integrating factor then find particular integral. 

Q: 10) 84° 12 in 57°

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: 1. Use the graph below to find the integer value(s) of x where the limit does not equal a finite val...

A: From the figure we can see that as x approches to 3 than function value goes to infinite.

Q: fcsch Icothu- pschul tc d. udu %3D

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Q: S2x+1, x54 x² +12, x>4 3. Is the function f(x) = continuous?

A: topic - continuity of a function

Q: 1 1 b lim 6→7 b – 7

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Q: Using algebra, describe in two or more complete sentences how to determine if the function f(x)=3sin...

A: Given that: f(x)=3sinx

Q: The volume of a right circular cone of radius x and height y is given by V 3. 1 TLʻY. Suppose that t...

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Q: Find the unit tangent vector T, and the unit normal vector N for r(t) = at t = 1. Simplify your ans...

A: We need to find the  unit tangent vector T, and the unit normal vector N for t=1.Below find the solu...

Q: If VI + = 11 and y(9) = 64, find y' (9) by implicit differentiation.

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Q: 0. for the funchion f (x,4) = 3-x²_u?, find a unit tangent vector to the level curve -3 at the point...

A: It looks like you are doing mistake in using the formula for derivative. Correct formula is  ​​​​​​​

Q: 14. Evaluate y" or d'y of the function when x = 0. dx'

A: To find the y'''for the given equation 13x3+13y3=132  at x=0

Q: Find the vector equation for the line of intersection of the planes 5x + 2y – 5z = 2 and 5x + 4z = 4...

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Q: 6. Solve the inequality s2 by answering each step. a. Find the zeros of the numerator and the denomi...

A: The given inequality is: x-3x-5≤2

Q: Find the derivative of the function using the definition of derivative. State the domain of the func...

A: (a)        f(x)=x2-2x3f'x=limh→0f(x+h)-f(x)h=limh→0x+h2-2x+h3-x2+2x3h=limh→0h2+2xh-h3-6xh2-6x2hh    ...

Q: Find the equation for the plane through the points Po(1,5,5), Qo(- 1, – 5, – 5), and Ro (2,0, – 4).

A: NOTE: Refresh your page if you can't see any equations. . given points are

Q: Perform the indicated operation and write the result in standard form. Select all values that are co...

A: Given the query is to the correct option for the given expression.

Q: Use Gauss-Jordan row reduction to solve the given system of equations. (T y.) 5x - 8y = 7 25x 40y = ...

A: NOTE: Refresh your page if you can't see any equations. . system Ax=b is

Q: Imagine that as a ball is tossed, its motion is tracked on a coordinate plane. Given only a few of t...

A: Given problem:- Imagine that as a ball is tossed, its motion is tracked on a coordinate plane. Given...

Q: Graph the funčtión. - 5, if x21 f(x) = -1-x, if x<1 O A. OB. Oc. OD.

A: Given query is to graph the piece wise function.

Q: Graph the following function. h(x) = |- 6x| Determine the transformation(s) that need to be applied ...

A: Given query is to find the transformation applied.

Q: Find the slope of the function's graph at the given point. 8 Function: g(x) Point of g is at (10, 0....

A: This question is based on finding slope of a given function at a point.

Q: 4. Find the volume of the solid generated by revolving the region bounded by the curves y = 2-x² and...

A: Given problem:- Find the volume of the solid generated by revolving the region bounded by the curves...

Q: Find the general solution: 0(Ine – 4) cscßdß+ cospd0=0 -

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