If f (x) = *dx and f (0) =2, then what is f (2) ? A e+2 B e2+1 C e2 D e2-1 E) None

Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j.

A:

Q: Evaluate the following integral. | e2* cos3x dx

A:

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: I am attaching image so that you understand each and every step.

Q: 2x2 x2 –1 and horizontal asymptotes of the given (7) Let f(x) = Find the vertical function. Show the...

A: For vertical asymptote Take f(x) tends to infinity.  For horizontal asymptote take x tends to infini...

Q: f(x) = 9x + 9 %3D g(x) = x² – 7x – 8 - Find |(2) g. The domain of is z + Question Help: D Video Add ...

A:

Q: Find the price that will maximize profit for the demand and cost functions, where p is the price, x ...

A: Given query is to find the price that will maximize the profit.

Q: An 8- meter ladder with its foot 4 meters from the wall slides away at a rate of 1.5 m/s.

A: Find your answer below 

Q: An apple farm yields an average of 38 bushels of apples per tree when 24 trees are planted on an acr...

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: We have to find distance. 

Q: When the qiven function f(x) = cx^3 - 3x^2 + dx - 4 is divided by (x+2), the remainder is -34. When ...

A:

Q: b) f(x) = (e* (Inx² – 3))*

A:

Q: lin the chart by converting between fractions, decimals, and percents. Show work in the space below....

A: Topic:- fraction

Q: Set up a triple integral to find the mass of the solid tetrahedron bounded by the xy-plane, the yz-p...

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A:

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 50 cos 50 do

A:

Q: 2x2 (7) Let f(x) = Find the vertical x2 –1 and horizontal asymptotes of the given function. Show the...

A:

Q: Identify the absolute extrema of g(æ) = x² Absolute Minimum of 0 at x=0 and no Absolute Maximum Abso...

A:

Q: : Give the following formulas ① Volume and surface area of a sphere (diameter = a)

A: We know volume and surface area of a sphere

Q: Solve the dff oq 2. 3. 3. %3D 1

A:

Q: Evaluate the following limit, if it exists: 15 lim ' sin Note: Write the exact answer not the decima...

A: we want to find the limit limx→∞  x7 sin15x7

Q: Solve this problem on separate paper. Show all supporting work and include units on your solutions. ...

A:

Q: То evaluate /e2"sin?(e2^)cos(e2")dx. we let u =e2* A) True B False

A:

Q: The graph of f (x) is provided below, select the approximate value for the derivative at each point....

A:

Q: Prove that the length of common chord of the two circles x + y² + 22x + c = (2² -c)(µ² +c) 2² + µ? O...

A: We will prove that the length of the common chord is the given term as following.

Q: P23.2. The population of Canada, as determined by the Canadian census, was as follows: year 2001 200...

A: t=year 2001 , X starts from 0.   X Y XY X2 Y2   0 30 0 0 900   5 31.6 158 25 998.56   10 33...

Q: xf (x² )dx if / f(x)dx = 9. Find Enter the exact answer. %3D

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

Q: The graph of f' is given to the right. Determine x-values corresponding to local minima, local maxim...

A: We have to find x value for different points. 

Q: 14. Determine the "limit of 5 as x approaches to 2". a. 4 b. 3 c. 2 d. 1

A:

Q: 8. Sy'dy = 9 S 4x dx =

A:

Q: Which is the better base for working with exponents and logs : e or 10? Justify your answer.

A: log with base e is better for working with exponents.

Q: Find the area of the triangle with vertices P(1, 4, –2), Q(0,0,0) and R(4, 5, 1). NOTE: Enter the ex...

A:

Q: Solve the given ordinary differential equation: xsin(x) (x³ + 2) dx + (;+ xsin(v))dy = 0 п(у)) dy x°...

A:

Q: Differentiate: -X-Cos y

A:

Q: A study of the exercise habits of 17,000 alumni from a certain college found that the death rate (de...

A: We are given the death rate function as R(x)=5x² − 35x + 108 where x is the weekly amount of exercis...

Q: Question 1 Determine whether each series converges or diverges. Be sure to name the test 4n+1 (a) (i...

A: Since multiple questions are asked in multiple subparts. I am doing the first question only.

Q: (2) Find the value of B (,-)

A:

Q: (х-2)* Use the Ratio Test to find the real numbers x for which the series =L k° converges. (Use symb...

A: Given the series is ∑k=1∞ (x-2)kk9

Q: Find the radius and interval of convergence of the given power series. +o0 (x +3)" Σ 1. n5 +1 n=0 +0...

A: Given problem:-     To find:- Interval and radius of convergence of given series

Q: S (5x - 3x + 5) dx %3D

A: recall: ∫xndx=xn+1n+1+C

Q: Label true or false if: 1. If f(x) is increasing and f(x) > 0 on the interval I, then g(x) = 1/(f(x)...

A:

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid generate...

A:

Q: An inverted cone has a height of 15 mm and an initial radius of 16 mm. The volume of the inverted co...

A:

Q: x2sinx Find dy /dx %3D (1+x2)2V1+x

A: Given: y=x2sinx1+x221+x   We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x The...

Q: Find a particular solution y, of the differential equation: y" + 9y = 2 cos 3x + 3 sin 3x

A: Explanation of the answer is as follows

Q: Prove by cases that 25x² + 35x is an even integer whenever 5x-7 is an integer. Note here that the va...

A: Apply the condition for 5x-7 to be an integer case by case. 

Q: The population of a country will quadruple in  4 years. If its current population is  15000, what wi...

A:

Q: Find a power series representation centered at 0 for the following function using known power series...

A:

Q: Use l'Hôpital's rule to find the following limit. 1 1 1. x-2 In (x-1) X-2+ 1. x-2 In (x-1) 1. |(Type...

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

Q: 1.) Find the area of the region bounded by the parabola y = 2x and the line y = x - 4

A: