Find the equation of the normal line to the graph of f(x) = 2" log2 x at the point where x = 1.

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

A:

Q: Solve the equation. マ+ 16 O {2} 骨 {-2}

A:

Q: x = Asin(wt+B); w a parameter, not to be eliminated %3D

A:

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A: Solution: we know that u→=ucosθ i +usinθ j

Q: csc? 20 d0

A:

Q: For y = In (x' + 3x - 9) , to find would require the chain rule. If y = f(g(x)) find an f(x) and g(x...

A: Given that        y = ln(x7+3x-9)

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: Find your answer below 

Q: 3" The interval of convergence for the power series > - x" is r=1 O (-) O (-1) O (-1) 1 1] 3 3 [f 'f...

A:

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. ||...

A:

Q: 9. Differentiate y = (x² – 4)2/(x²) + (1/2)[Arcsec(x/2)].

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: Follow step 2nd . 

Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at half...

A: Find lower and upper estimates for the distance (in feet) that she traveled during these three secon...

Q: 1. Integrating factors found by inspection: (xy + xy)dx+(x²y²-2)dy = 0

A:

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 550 cub...

A:

Q: If h(x) = f(g(x)) and f(1) = 7 f'(1) = 10 g(1) = 1 , and g'(1) = -5 find W(1) О 350 O Not enough inf...

A:

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, –1). v= (0, 24) a = %3D

A:

Q: Graph the following on the given axis. Note there are two problems, see the back side. 1. Graph the ...

A: Draw the graph of given condition f' x>0  if x≠3f'' x>0  if x<3f'' x<0  if x>3 f has ...

Q: , if x + -1 -2, if x = -1 Prove that f(x) = {x+1 is continuous at a = -1 by showing the following. i...

A:

Q: armer finds that if she plants 90 trees per acre, each tree will yield 75 bushels of fruit. She esti...

A: Given query is to find the number of tree per acre to maximize the harvest.

Q: Let f be a function such that xf 2) dx = 12. Write an -6 equation that can be inferred involving the...

A:

Q: Use logarithmic differentiation to find the derivative of the following functions (y ′ ). Hint: Take...

A:

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 8t, y = 5 -...

A:

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

A:

Q: Use a graph to estimate all the vertical and horizontal asymptotes of the curve. (Round your answers...

A: Asymptote is the point  which a graph approaches to ,but never touches

Q: Graph the functions in Exercises. of the function on the interval and say where they occur. . Then f...

A: 73. hx = x+2-x-3-∞<x<∞ “Since you have asked multiple question, we will solve the first questi...

Q: ydx 2. The exact differential what is the dxe")=

A:

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A:

Q: evaluate the improper integral / 1 dx. Does it converge x(In x)2 diverge? Justify your claim.

A:

Q: Consider the following function: S-9x2 + 5x + 6 if x 1 Step 1 of 2: At what x-value is the function...

A: Topic = Functions

Q: 2. An open top rectangular tank with a square base is to have a volume of 10 cubic feet. The bottom ...

A: To find out the sum of x and y for the most economical dimensions. 

Q: 6x? sin x' dx

A:

Q: The plane that contains the points (-2, 1, 0), (1,0, – 1) and (0, –1, 1) is orthogonal to which vect...

A:

Q: Write an integral that is equivalent to xf (2x) da.

A: Consider∫-2-1xf(2x2)dxlet  u=2x2differentiate on both sidesdu=4xdxWhen x=-1 ,  u=2(-1)2=2          x...

Q: Evaluate the given integrals. 7x-4Vx 1. S S VE () dx

A: Let's find. 

Q: csc inx-2 dx x (csc In x+1)

A:

Q: Write 1.24123 = 1.24123123123123123123... as a ratio of integers using geometric series.

A: Find your answer below 

Q: Find the gradient of the function at the given point. g(x, y) = 14xeV/x, (13, 0) Vg(13, 0) = еВook

A:

Q: 0 minutes. Water begins to be A tank has 10o gallons of water in it at time t pumped into the tank a...

A:

Q: Find dy/dx at the point (0,1) using implicit differentiation given that xy + e y = e.

A: First we find dy/dx then put x=0 and y=1

Q: Rewrite the following expression in terms of exponentials and simplify the result as much as you can...

A: Solution: We know that sinh(x)=ex-e-x2

Q: E -Y - 4 = z + 6 6

A:

Q: dr de 3 cos2 (플-0),r(0) =D1 8

A:

Q: The exact differential d(xy)= xdy+ ydx , what is the d O= 4x²y°dy+ 2xy*dx.

A: Find your answer below 

Q: 2. Consider the following code fragment: How many times will the variables i be assigned a value whe...

A:

Q: Given the piecewise function defined below, determine the value of f(x)da in simplest form. -2x 3 fo...

A:

Q: Consider the following. dx (a) Perform the integration in two ways: once using the Simple Power Rule...

A:

Q: A box with a square base and open top must have a volume of 219488 cm. We wish to find the dimension...

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive. Maxi...

A:

Q: 4. In the differential equation (y -x -4x-1)dy + 2y(x+ y+2)dx = 0, MN

A:

Q: (A) Estimate the area under the graph of 5 f(æ) = - from x = 1 to x = 6 using 5 approximating rectan...

A: