Use the graph shown to find the following (a) The domain and range of the function (b) The intercepts, if any (c) Horizontal asymptotes, if any (d) Vertical asymptotes, if any (e) Oblique asymptotes, if any.

Q: Use the power-reducing formulas to rewrite the expression as an equivalent expression that does not…

A: Here, we need to simplify 18 sin4x. So,              18 sin4x=18sin2x2               =181-cos(2x)22…

Q: Find the limit of the sequence: 4n² + 7n +7 4n² + 4n+ 5 an

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

Q: Evaluate the geometric series or state that it diverges. 8 Σe-2n n=0 Select the correct choice below…

A: Given sereis:- ∑n=0∞e-2n

Q: Find the indicated partial derivatives of: дz дх Oz au || || Z= 4x x2+y2

A:

Q: Evaluate [**f(x) dx, where T [*ª* f(x) dx = f(x) = (2x³, -π<x<0 [7sin(x), 0≤x≤ π.

A:

Q: Using the graph of f(x) above answer the following. If a limit does not exist, type DNE: f(x) = a)…

A: Graph of the function is given, we have to find the limits a) limx→6-fxb) limx→1fxc) limx→-∞fxd)…

Q: Find the indefinite integral 3 cos 0(5 tan 0 + 9 sec 0) de. 0(5 tan 0+9 sec 0) d0 = (5t 3 cos 3 cos

A: we know that  tanx=sinxcosxsecx=1cosx

Q: A certain index I is a measure of soil moisture. An article described the rate of change of I with…

A: we need to solve the given initial value problem.

Q: (-2,2 y=x+4 (3,7) y=x²-2 X

A: Given query is to find the area of the shaded region.

Q: If the marginal revenue for ski gloves is R'(x) function. R(x) = = - 0.6x + 50 and R(0) = 0, find…

A: If the marginal revenue fro ski gloves is R'x=-0.6x+50 and R0=0, to find the revenue function.

Q: .) 2 4x S₁ x² +1 dx

A: To evaluate the given integral

Q: late the limit algebraically. h² lim h→0 3h + 4h² OOOO answer does not exist, enter DNE If the limit…

A: Given query is to find indicated limit.

Q: Find lim_ (x+3)² x→-5

A: Given: limx→-5x+32

Q: Determine the domain of the function of two variables f(x,y)=√y + 5x. The domain is {(x,y) (Type an…

A: The given function fx,y=y+5x. We have to find its domain.

Q: Suppose that a particle moves along a straight line with acceleration defined by a(t) = t - 5/2 in…

A:

Q: 23. 8 n=1 (-1)n+1xn 62

A: The given series is: ∑n=1∞ (-1)n+1 xn6n

Q: Find 3xe Select one: O a. O b. da. Hint: use substitution. (e-1) (1-√e) (1-e¹) ○ c. O d. (1-e)

A: ∫xndx=xn+1n+1+clet x2=t2xdx=dtwhen x=0, t=0when x=1,t=1

Q: Consider the curve given by x = t³ +2t² - 4t + 7 and y = -8t+t². (a) Find the equation of the…

A:

Q: 19. Simplify the expression 52+log5 (2) completely.

A:

Q: For the sequence defined by: a1 = 4 = an+1 = Find: a2 az || = || a4= 3 an +1

A:

Q: ← Find the future value P of the amount Po invested for time period t at interest rate k, compounded…

A:

Q: Find the indefinite integral. X LA 1-X dx

A: Let's solve indefinite integral.

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

A:

Q: find the length of y=√x² from to += 12 x = formula 3 L = So 9 Ht( f (x) J² dx

A:

Q: A microbial population's mass grows in such a way that its rate of growth r(t) = m(t) doubles every…

A: A microbial population's mass grows in such a way that its rate of growth r(t)= m'(t) doubles…

Q: lim cos TX x→1

A: Given query is to find indicated limit.

Q: Find the following antiderivative. J dx (x ln x) In (In a

A: To evaluate the antiderivative

Q: 4) Write an equation for a sphere centered at the point (4,6,-1) with radius 8

A:

Q: The rate of U.S. per capita sales of bottled water for the period 2007-2014 could be approximated by…

A: given rate is  s(t)=0.25t2-t+29refrence is year 2007 fot 2007 to 2014,   0≤t≤7there for 2009 to 2012…

Q: 14. A species of freshwater fish called Perch was introduced into a large lake. The equation below…

A:

Q: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by…

A: If the parabola opens upward then the equation of the parabola is         x2 = 4ay

Q: Find the indicated partial derivatives of: дz дх дz ду z = ln(x2 + g³)

A:

Q: Find the function's absolute maximum and minimum values and say where they are assumed. 4 3 f(x) =…

A:

Q: Evaluate the integral. 1₁ w² w² In(w) dw

A:

Q: The D.E. of the cubics cy² = x²(x − a) with “a” held fixed is a. y(3x - 2a) = 2x (x -a)y' (a). c.…

A:

Q: Suppose that the monthly marginal cost for a USFS approved wildfire water pump is C'(x) = 40x + 715…

A:

Q: Question Find the area of the region enclosed by r = 5 cos (0). Enter an exact answer. Sorry, that's…

A: Let's find area enclosed by r=5 cos(theta).

Q: The gradient of the straight line 3y + 2x = 7 is

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Evaluate the following improper integral if it is convergent. 8 S= 2 6 OA. x Inx Select the correct…

A: we know that  ∫1xdx=dt∫2∞6xlnxdx=lima→∞∫2a6xlnxdxlet  lnx =t1xdx=dt

Q: (₂) Using the u-substitution, u = x + 3, identify f such that the integral help (formulas) ¹ [ f(u)…

A: Given integral  is ∫ xx+3   dx

Q: Find the indicated partial derivatives of: дz ?х дz ду || || z = ln(x2 + y3)

A:

Q: Find f(x) by solving the initial value problem. ƒ'(x) = 1 +e³ +—; ƒ(1) = 7+e

A:

Q: Verify that the hypotheses of the Mean-Value Theorem are satisfied on the given interval and find…

A:

Q: If y = (k+1)x+3 then y' = -0 ∞0

A:

Q: 3 (cos (4) + 4 sin (4) 3 3 z=3

A:

Q: -8 -6 -15 4-5 S 4 + Ox O Using the graph of f(x) above, answer the following. If a limit or…

A: Given Graph:-

Q: hape of a box with a square base. It is to have a volume of 686 cubic feet. The concrete for th the…

A:

Q: Find the x-coordinate of the point on the graph of f, between points P and Q, at which the line…

A: Let (x,y) be the point at which the tangent to f(x) is parallel to line PQ.

Q: 10. Determine which of the following functions could be exponential. x f(x) x g(x) 0 1.2 5 10 15 3.6…

A:

Q: Consider the series n=1 an where an = √n +5(n+3)! en-7 In this problem you must attempt to use the…

A: