14. Find a function whose tangent has slope 4x+1 for each value of x and whose graph passes through the point (1.2). €

Q: Find the area between f(x)=1/x and the x-axis for 1≤x≤10, 1≤ x ≤100, and Is x ≤A. What is the limit…

A:

Q: 6. A family wants to build a fence in their backyard for their dogs, Charlie and Linus. The enclosed…

A: Given:     Area = 4000 sq meter

Q: An 84 cm wire is cut into three pieces. The second piece is 4 cm longer than the first piece and the…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Evaluate: √x(x - 5)dx Solution: √ √x(x - 5) dx = f x²(x - 5) dx by law of exponents/ = f (x² - 5x)…

A: Given problem:- ∫√x(x-5) dx

Q: 1. Let 1 + x = +0 (-1)^ xn no Find a power series representation for 1+3x²

A:

Q: Let f(x, y) = − sin2 (2x − y) Evaluate fx and fy at (π / 4, π / 3)

A:

Q: II. Directions: Find the slope of the line tangent to the given curve at the indicated point 10-12.…

A:

Q: A hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the…

A:

Q: 3. A rope hangs in the form y = 40 cosh. Find (a) the value of y when x = 25, and (b) the value of x…

A: It is given that, y=40 coshx40 We need to find the value of y when x=25 and the value of x when…

Q: dy dx = x+1 2(y+3)

A:

Q: Evaluate the integral. (Use C for the const dx 15 √ 5x(1 + 5x)

A:

Q: Find the area of the region bounded by y = x³ - 8 the x-axis and the y axis. 1/3 3 1/9 9 None of the…

A:

Q: (b) Find the dimensions of a box with a square base with surface area 16 and the maximal volume.…

A: The second question has been solved as per the request of the student.   This question can be solved…

Q: Question 10 The function y= ax6x³ has a minimum point at (2a, f(2a)). Determine the value of a. - a…

A: Let's find a value.

Q: P 2. ( Use the disk or washer method to find the volume of the solid obtained by rotating the region…

A:

Q: Integrate the following (3x + 5)dx 1. S (x - 1)(x² - 1) -

A: Given:∫(3x+5)dx(x-1)(x2-1)Perform Partial…

Q: Find the volume of the solid of revolution formed by rotating about the x-axis the region bounded by…

A: To find the volume of the solid of revolution formed by rotating about the x-axis the region bounded…

Q: A company produces computers. The demand equation for this computer is given by p(q) = -5q+6000. the…

A: Given the demand functionp(q)=-5q+6000where q represents the number of units:total Revenue…

Q: Let T : R² ⇒ R³ be a linear transformation such that T([ 1 ]) = = 8 [][]) ([ 13 0 What is T -1 and T…

A: Concept: A linear transformation is a feature from one functional area to some other that takes into…

Q: Exercise 25.7.1. Give the Taylor series of the function 1 f(x):= 3x² around the point c = 1 and give…

A: The function is given by, f(x)=13x2 = 13x-2    ⇒f(1)= 13Differentiating the function 1, 2 , 3 ...…

Q: af axdy of f (x, y) = xy(x+y — 1) — x² Find-

A: The given function is: fx,y=xyx+y-1+x2   As we know that; The Power Law: ddxxn=nxn-1 The Product…

Q: Given Cost and Price (demand) functions C(q) = 100q+40000 and p(q) = -2.8q +800, what profit can be…

A:

Q: Evaluate (2a² y +9y³)dA, D is the region bounded by y 33522 a. 5 Ob. 4811 5 C. None of the choices.…

A:

Q: For which values of n is the function ya solution of the differential equation xy"-Kxy'-6y=0

A:

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A:

Q: Given m = 6, n = 1, and v = (-4, 7), what is v(n-m)?

A: Given :- Given m = 6, n = 1, and v = <-4, 7>, what is v(n-m)?

Q: 1. dx (x - 2)3 EXOX

A:

Q: The population of a city is 50,000. The city grows continuously by 2.2% per year. If this trend…

A:

Q: Determine the volume produced by the region bordered by 32 IT 15 "1 x² - 4x - 4y + 4 = 0 and y = 1…

A:

Q: Find the area contained between the two curves y = 3x - x² and y=x+x². 71/6 81/5 91/4 62/3 None of…

A:

Q: What is the component form of a vector with a magnitude of 17 and a direction of 125°?

A: To find the component form of the vector whose magnitude and direction are given.

Q: Question 138 of 190 FINAL-Mathematics Temperatures in degrees Celsius (C) may be changed to degrees…

A: A detailed solution is given below.

Q: Find the center and the radius of the circle with the equation x2+12x+y2+6y−99=0   Enter the…

A:

Q: 3. Use the cross product properties to prove the relation (a - b) × (â+b) = 2(â × b) given a = (1,…

A: Given,a=i-3j+2kb=-2i+0j+k

Q: 3/7 Identify the coordinates of any local and absolute extreme points and inflection points. Graph…

A:

Q: If the present value of an item is P and we experience an inflation rate of r for t years, what will…

A: solving the problem by finding the value of the future value.

Q: ered # tion Bi Q) choose one only 1. If (x + y)² = x² + y² prove that = - dx 2. If y = sin³ () cos³…

A: To find the differentiation of given functions.

Q: (x² - 12x + 9) dx (x²-3x + 2)² 2. √(x²

A: Given: I=∫x2-12x+9x2-3x+22dx   As we know that; The Power Rule: ∫ax+bndx=ax+bn+1an+1+C And…

Q: 6. y dy 1+√√y 11

A: SOLUTION-

Q: The cost to produce a certain commodity is given by the function C(x) = 50x + 2,000 The…

A:

Q: Find the area under the curve 4x2-3x+6 between x= -2 and x=3

A:

Q: f(x) = 4√√x + 2x¹/2 - 8x-7/8 +x². f(x) +2 1 x3 = ²325/2 - 2x³/2+1/32²³- x³ - 2x² + x −1. 9

A:

Q: 5. A stone dropped into a still pond sends out a circular ripple whose radius increases at a…

A:

Q: 6. y dy 1+√√y √

A: The given integral,        ∫y dy1+y

Q: You deposit $2000 in an account with 4% annual compound interest. Complete the following, assuming…

A:

Q: Find T,N and k for the curve: 1- r(t) = (6 sin 2t)i + (6 cos2t) j+5tk.

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: For a particular financial methodology, the risk-reward function was defined as y=x(Inx-2), where y…

A: The risk-reward function,    y=xlnx-2y=units of reward, x=units of risk

Q: Determine whether each of the following functions is (a) continuous (b) differentiable. 12.…

A: We know that every polynomial function is continuous and differentiable. If a function is not…

Q: valuate £₁² (2x + 3e* − 1) dx a. 12.43 b. 13.45 c. 14.24 d. 15.23

A: We will solve the problem.

Q: termine the absolute maximum and minimum values of f(x) = cos²x-cosx the interval 0≤x≤ 2π.

A: Please refer to the image below