For the function f, use composition of functions to show that f 1 is as given. 6. 7x-7 f(x) = =x+ 1, f(x) = %3D u 7x-7 To show that f'x) = find (fof) (x) and (fof)(x) and check to see that each is x. Beginning with (f1of) (x). Que Qu (ot) )=| Qu

Q: 1) Find the derivatives of the following. Simplify your final answers. d) 1(x) = tanh-1 x + In V1–…

A:

Q: Use implicit differentiation to find y′ and then evaluate y′ at ​(−3​,3​).   4xy+y+33=0       Part 1…

A:

Q: 3 tanh (In(4x)) sech" (In(4x)), I) y = tanh (In(4.x)) [y

A:

Q: y(x) = tan/3x² + In(5x*))

A:

Q: Use the given below to answer #s 33-35 40 and 0 is in Quadrant IV, then sin 0 =and tan 0 = 6. If cos…

A:

Q: 2) Evaluate the following line integral: . 0+z)dx + (x + z)dy + (x + y)dz where C consists of the…

A: C1: (0,0,0) to (1, 0, 1)x-01-0=y-00-0=z-01-0=tx=t, y=0, z=tdx=dt, dy=0, dz=dtI1=∫01[(0+t)+(t+0)]…

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of PQ.…

A:

Q: z- 3z2 Using the miscellaneous substitution 2= tan match the integral expression on the left to its…

A:

Q: Let f(x,y) = C be the antiderivative of F(x) = x²cos(2x), Determine the value of C if x = 18 and y=…

A: We know that antiderivative of a function is same as indefinite Integral of that function.

Q: Find the dimensions of the rectangle with maximum area that can be in- scribed in the ellipse x2/a²…

A:

Q: Using the miscellaneous substitution 2=tan match the integral expression on the left to its…

A:

Q: 3. y = x2 + 5x and y = 3 – x -

A:

Q: 5 Show that the function h(r, y) defined by if r +y? < 1 h(x, y) 0; if r +y 2 1 is discontinuous.

A:

Q: y = -2x + 8 only 5 points on the graph KAe CEN OSSN CONTY CONCOT FOLLTS 14 CHLDREN 2 123 45 6 7 8 9…

A: Discrete domain : where there is difference between domain elements. Continuous domain: where…

Q: e Th

A:

Q: -ges 3n +n 9n b) L7-2)n+1n n! n=1 (-10)" d) 242n+1(n+1) n2 (2n – 1)! n=1 0=

A:

Q: C. Find the derivative of each function. x' - 2x 3. h(x) = 4. F(x)=sin x- cos x- tan x tan x D.…

A: Follow next step

Q: Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile…

A:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ - y, P(6,…

A: As we know that; The expression for the directional derivative of the function f in the direction of…

Q: Let f be the function x + 4 for x 2 Find the value of c that makes the function left-continuous.…

A:

Q: Which of the following is true? cos(x) + cos(7x) A Scos(3x)cos(4x)dx = J 2 J sin(4x)cos(3x)dx = […

A:

Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y², (12,…

A:

Q: Find all Critical points of the function : 2 f(x,y) = 4x° + 6x°y+ y° - 10y? - 48y + 18 Critical…

A: Given problem:- Find all Critical points of the function :   f(x, y) = 4x3 + 6x2 y + (2/3)y3 - 10y2…

Q: . Ssin's cosʻx dx COS COS

A: First we divide numerator and denominator by 26 and then use the formula sin(2x)=2sinx cosx  And…

Q: The graph below is comprised of transformation of tool kit functions. 5- 4 2 -6 5 -4 -3 3 5 -2 -3+…

A: Given query is to find the the function of the graph.

Q: - y? = 4x, x = 0 to x = 4 %3D

A: To find the area of the region bounded by the given curves.

Q: 1. A biker is 50 meters away from a pole. The biker starts to ride south parallel to the pole at a…

A:

Q: In what case of k such that there is only one solution? 2x + ky = 10 kx + 2y = -10

A:

Q: The total number of public electric charging units available for hybrid vehicles has increased…

A: Given query is to find the number of units in indicated years.

Q: 6) A rectangular lot is to be bounded by a fence on 3 sides and by a wall on the fourth side. Two…

A:

Q: Find the exact coordinates of the stationary points of the function f(x) = e2-10e" + 12r and…

A:

Q: Calculate the Taylor polynomials T2 and T3 centered at a = 0 for the function f(x) = 11 tan(x). %3D…

A:

Q: Suppose that f and h are integrable and that: i fx) = -1, f(x) dx = 5, h (x) dx = 4 ,Find: a. S–2…

A:

Q: 00 1 Given the power series representation determine a power series representation for 1+ 7 n=0 In…

A:

Q: 1. Use calculus to find the area of the polygon with vertices (1, 1), (4, 0), (7, 1), and (7,2).

A:

Q: dy d. dx = y(xy3 – 1)

A:

Q: Suppose a pollutant is seeping into the ground near a dump site at the rate of 2800 f(t) : (æ +…

A:

Q: Let A be the area of a circle with radius r. If dr/dt=3, find dA/dt when r=5.

A:

Q: Compute the exact value of -1)"(n + 2) 2"+1(n+ 1) * n=0

A:

Q: Which of the following is true? @Stan (x)sec (x)dx = sec (x) 2sec7(x), sec (x) + C 6. 7 O…

A:

Q: 2n Determine whether the series converges or diverges. Ln=1 n2 +n

A: The given series is ∑n=1∞2nn2+n.   Rewrite the given series as follows. ∑n=1∞2nn2+n=2∑n=1∞nn2+n…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A:

Q: Solve the given initial-value problems. 4.43. xe" dx +(y-1)dy 0; y(0) 0

A:

Q: A rope is attached to a boat at water level, and a man on the dock is pulling on the d) rope at the…

A: Draw a schematic diagram of given figure.

Q: 1. f(x) = tan(2x) - 5

A:

Q: Consider the Taylor polynomial T(x) centered at x = 17 for all n for the function f(x) = , where i…

A:

Q: (x² – 9) + xy = 0 dx

A: We have to solve the differential equation x2-9 dydx + xy = 0

Q: S x(x² – 1)dx

A:

Q: Determine the area of the largest rectangle that can be inscribed in a circle of radius 5, as…

A: We have to find area of largest rectangle that can be inscribed in a circle of Radius 5 unit.

Q: A region bounded by f(x) = x², y 0, and x = 4 is shown below. Find the volume of the solid formed by…

A: