Q3 Using shifting and reflection to draw the following functions. 2- y = sin(x) + 1

Q: The production output of a certain factory is N(t) = √² + 10t + 8 where N(t) is the output in…

A:

Q: 3. Find f'(z) and f"(x) if f(x) = lnx + 2 cos³ r.

A: topic- derivative of a function

Q: Suppose that x units of one input and y units of a second input result in P = 55x + 65y = x² - y² -…

A:

Q: 4. Let sinx = Ź (-1)" x²n+) 2n+1 n=d ♦ a) Find a paver series for xsinx, Differentiate the power…

A:

Q: Find the volume of the sould generated by revolving the area bounded by the _given curves about the…

A: Let's find volume of solid (V) = ?

Q: 2x x→∞ 3x² +5 3x xx√√√x² x² +4 X lim x→→∞ 2 sin î (a) lim (b) lim (c)

A: Given

Q: Let h(x) = f(x) + g(x). If f(x) = x³ and g(x) = 4x4, what is h'(1)? Do not include "h'(1) =" in your…

A: Given query is to find the Indicated derivative.

Q: 5. Find the Maclaurin Series for f(x) = e²^²+ex 2

A:

Q: F T M 3. Let et = 2 . Find a power series nào ng t² a) Find a power series for te . obtained in @)…

A: We want to evaluate the power series of the given expression and want to integrate it.

Q: Help

A: We will solve the problem

Q: Let w = (2, − 1, 1), v = (− 4, − 5, 1), and u = (6, − 2, 2). Find u × (v × w)

A:

Q: 10. The sale price of a book after a 25% discount is $40. What was its original price? $46.67 O…

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: 4. A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15…

A: Using derivative

Q: Derive implicitly—Implicit differentiation. Please show a detailed solution. Also, comprehensive and…

A: In this question, we want to differentiate the given expression implicitly.

Q: 10x-3y For the function f(x,y,z)= 8z + 1 fx=0 find fx. fy. fz, and fyz-

A:

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

A:

Q: 5 Evaluate F.ds over the surface S defined by x² + y² + z² = 4 for z ≥ 0 and bounded by x = 0, y =…

A:

Q: In Dollars Sales Monthly 9000 8000 7000 6000 5000 4000 3000 2000 1000 0 January Williams Custom…

A:

Q: Solve the non-homogeneous linear recurrence relation. (note: the non-homogeneous part is a constant…

A:

Q: What is the y=x^2 - 4 and O 1/4 O 1/2 01 03/2 Ο ΝΑ x-coordinate of the centroid of the plane region…

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: (a) Find the vertices, foci, and asymptotes of the hyperbola. (Enter your asymptotes as a…

A:

Q: What is the volume in cubic units of the solid formed when the region bounded by y = 2x + 1, x-axis,…

A:

Q: 5 sine cose de Sin²+ 3sine - 4

A:

Q: Find all points where the given function has any local extrema. Identify any saddle points. f(x,y) =…

A:

Q: I. Evaluate the following limits. 2. lim (x - Inx)* +0+x

A: We have to find the limit of the function  limx→0+x-lnxx. We can write,    u= elnu Therefore,…

Q: 4. y = √esinx + 2 5. y = 4x In 4x 6. xe = sin 5x - sin 3y

A:

Q: Let f(x,y) = 8x - 2y + 5. Find the following values of f(x,y) for the given coordinates. (a) f(2,…

A: Given  f(x,y)=8x-2y+5 Find:f(2,-1) Substituting x=2 and y=-1 in the given equation, we get  f(2,…

Q: Can you solve this and show work clearly, the first part is X to the 3

A:

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

A:

Q: Evaluate the improper integral or state that it diverges. P -dx Select the correct choice below and…

A: The given integral is: I=∫2∞32x2dx   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1 And…

Q: What is the center of gravity of the solid formed when the plane region bounded by y = x^2 and y=x+2…

A: We sketch the given region using a graphing calculator as shown below:   The shaded region is…

Q: Use the linear approximation to estimate In (√0.99).

A:

Q: What is the center of gravity of the solid formed when the plane region bounded by 2x+y-2= 0, y = 0…

A: Center of gravity is given.

Q: Find T,N and k for the curve:

A:

Q: Derive implicitly—Implicit differentiation. Please show a detailed solution. Also, comprehensive and…

A:

Q: Using the Law of Sines to find a triangle with one obtuse angle if ZA = 50°, a= 23, b = 25. If no…

A:

Q: Approximate the area beneath y = sin x on the interval [o, π] using the Trapezoidal Rule with n = 4…

A:

Q: 3. Find f'(a) if f(x)= e7x 2x + sin³ x

A: In this question, we want to differentiate the given function f(x) with respect to x.

Q: answer a and b a. The marginal cost of manufacturing x tarpaulins is given by 0.03x2 + 0.4x + 7. If…

A: Explanation of the answer is as follows

Q: The bacteria in a certain culture increase according to dN/dt = 0.25N. If originally N = 200, find N…

A: Integrate the equation.

Q: Prove that the last two digits of 2" cannot be 02 and the last three digits cannot be 108.

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: 5) Find the Maclaurin Series for f(x) = ²² +₂²²²₁ exte tex 2

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Evaluate ²(2x + 3e* - 1) dx a. 12.43 b. 13.45 c. 14.24 d. 15.23 e. NONE OF THE ABOVE

A: Given problem:-

Q: . Calc.   Test for exactness then solve. (2xy - sinx)dx + (x2 - cosy)dy =0

A: Differential equation

Q: Find the formula for the sequence below: -5,15,-45,180,...   a an=-3(-5)n-1 b an=5(3)n-1 c…

A: We have to find the formula

Q: For which value of a is the differential equation (y² + axy³ )dx + (Ky²x² + 2xy) dy = 0 exact

A:

Q: evaluate lim x →0 sin x-x 3 x

A: Given, limx->0 (sin x -x)/x³ SInce we have a indeterminate form, Applying l'Hoptials rule we…

Q: Perform the integration. (sinh x)(coth x +csch3x) dx +

A: