c. Which of the following expressions is equivalent to ln (10x²) for all values of x, including x < 0. Select all that apply and be careful! 2.In(10x) □ln (20x³) — ln (2xº) 2. ln(x) + ln(10) In (40x²) - In(4) ✔In(5x) + In(2x)

Q: g. y = tan x h. y = t+√√2t+√1-5t

A: To find the derivative of the following functions.

Q: The domain of f(x, y) is the xy-plane, and values of f are given in the table below. Find fe grad…

A: To find the line integral of a scalar field f(x,y) over a curve C, the general formula is:Segra…

Q: ind the surface area of the portion of the bowl z=9+x^2+y^2 that lies below the plane z = 13.

A: The formula to find surface area of 3D region is

Q: Find the exact length of the curve described by the parametric equations. x = 8 + 3t², y = 7+ 2t³,…

A: x=8+3t2

Q: 2. True or False: If the parametric curve x = a(t), y = b(t) satisfies d'(5) = 0 and b' (5) = 1 then…

A:

Q: The point(s) is/are (Type an ordered pair. Use a comma to separate answers as neeeded.)

A: Given that the graph with tangent line parallel to y=3x+1 we have to find the point is/are?

Q: Determine whether the function shown below is a one-to-one function. If it is one-to-one, find its…

A:

Q: 8. The largest angle of a triangle has a measure that is 10 degree less than three times the measure…

A:

Q: 1 7. Ση=0 (2n+1)!

A: The given series is

Q: Click on the graph to view a larger graph Use the Law of Sines to find the indicated side a given in…

A: Given,

Q: Find all exact solutions on the interval 0 < 0 < 360°. If there is more than one answer, enter them…

A:

Q: Find the area of the blue region. It is the area under the curve. y 8 6 4 2 y = 3x + 1 y=8-x

A: We have to use the concept of definite integral

Q: y = In[sin(x + y)]

A:

Q: is it 3and -2 for A?

A: y=x2-6x+7

Q: Given the definitions of f(x) and g(x) below, find the value of (fog)(-1). f(x)= x +5 g(x) = 2x² +…

A: The given function is .The aim is to find the .

Q: A bacteria is known to increase a rate proportional to the amount present. After 2hours 1500 strands…

A:

Q: 2. Σ. 1 (-5) 2n n2gn

A: The given series is The Root test If L&lt;1 then series is absolutely convergent If L&gt;1 then…

Q: he letters x and y represent rectangular coordinates. Write the given equation using polar…

A:

Q: Use the following function and its graph to answer (a) through (d) below. et f(x) = 6-x, x4. 2 .…

A:

Q: The approximate rate of change in the number of design patent applications received in recent years…

A:

Q: Find the vertical, horizontal, and oblique asymptotes, if any, for the following rational function.…

A: Horizontal asymptotes of the rational function:Vertical asymptotes of the rational function: The…

Q: 4x (11 + x) Find the first few coefficients. Suppose that CO C1 = C2 = C3 = C4= ∞ n=0 Cnx". Find the…

A:

Q: Find the domain of f(x). f(x) = Interval 3x - 5 x² + 2x - 35 Answer Attempt 1 out of 2 2 Answer…

A:

Q: Find the end points of the minor and major axis for the graph of the ellipse (x - 2)² (y – 5)² + 1…

A:

Q: Compute the curl ∇ ✕ F of the vector field. F =

A:

Q: 5.4-1+1/2 - 1/6 + 1 64 |

A: Given that the series we have to find check the series absolutely convergent, conditionally…

Q: Suppose that we're making and selling some widget and the profit (in dollars) when making a widgets…

A:

Q: Suppose u and v are functions of x that are differentiable at x = 0 and that u(0) = -1, v(0) = -7,…

A: Given that u and v are function of x that are differentiable at x=0At  To find:we have to find the…

Q: lim       sin(π+h)- sinπ                                      h→0     —------------…

A: Note:-Since your part a incomplete ,please repost part a again(b)

Q: Suppose we have a triangle with A 40°, B= 60° and c = 4. Then a =

A: Sum of interior angles of a triangle is 180 degrees

Q: 3 · [²³ F(x) Given 6 ³ fº f(x) f(x) dx = 9 and Exercise (a) 6 [° F(x) f(x) dx = -8, evaluate the…

A:

Q: A company finds that the rate at which the quantity of a product that consumers demand changes with…

A: Consider the given marginal-demand function,

Q: Consider the parametric curve: x Y 4 +² +³4t At which t value(s) is the tangent to this curve…

A:

Q: Let xy = 4 and dx dt Find dy dt when x = = 2. 1.

A: ..........(i)Differentiating equation with respect to t Put   ..........(ii)

Q: 19. Use Newton's Method to estimate the one real root of f(x)=x²+2x-2. Start with x = 1, and perform…

A:

Q: 5. If A = (611). 0 then eª = e e (8 €) e

A: A=

Q: amount for 6 Three kinds of tickets are available for a concert: up-front, main- floor, and balcony.…

A:

Q: 7. Apply the test for divergence to each infinite series given below. Then using at least one…

A: Given:To Find: To apply the test for divergence, for each of the given series. Then to explain the…

Q: Find the time of flight, range, and maximum height of the following two-dimensional trajectory,…

A:

Q: Sketch the graph of the piecewise-defined function. Write the domain and range of the function. |x,…

A:

Q: If c = 180, ZA = 82° and ZB = 47°, b =

A:

Q: Suppose value of [ f(x)dx 2 f(x)dx. f(x) dx = -1, [**f(x)dx = 4 and [ f(x)dx = 2. Find the

A:

Q: Stoite the Fundamental Theorem of Calculus?

A: we need to write down the fundamental theorem of calculus.

Q: 14. A rectangle has its base on the x-axis and its upper two vertices on the parabola y =12-x². What…

A: The second derivative test states thatWe use this to solve the given problem.

Q: Find the limit as a number, ∞o, or -∞o. Otherwise enter DNE. lim [√(√An+1 = √an)] = [ 4n n→ ∞o

A: Limn-infinity [sqrt(n) (sqrt(4n+1)-sqrt(4n))]

Q: Let S be the solid that lies between the paraboloid z = x² + y² + x² = 2. (a) Describe Susing…

A:

Q: xp£p( c£xZ+& ,x)_JJ A

A:

Q: Evaluate in Cylindrical Coordinates D bounded by z= x² + y² and the plane z = 1 ff zdxdydz stealevi

A:

Q: Find all solutions exactly on the interval [0, 27). If there is more than one answer, enter them as…

A:

Q: Given the parametric equations Compute the derivative dy/dx as a function of t. -t³, y = 6-3t x =…

A: