Fill in the rest of the table. xf(x) g(x) 3 2 4 1 1 2 3 4 10 5 3 4 2 5 1 LO 5 f(g(x)) g(f(x))

Q: 12. Find the antiderivative of the following expression: sin (x)] 6sec (x) - 12cse' (x)] A. 6sec (x)…

A: Integration formula ∫ (cosec2xdx) =-cotx+c ∫xndx=xn+1n+1+c

Q: 1. S e2x dx 25-4e4x

A: Note-according to battleby guidelines there are no rule such as answer typewritten only, so here I…

Q: 3. Prove that the directional derivative of f(x, y) = y² + 2xy³ + x²y² at point (0, 1) in the…

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Q: sequence. -2, 1, 6, 13, 22, ... Determine the sequence's formula in terms of n. a n= ? , n less than…

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Q: 1. Give an example to show that vectors are not commutative under the cross product operation.…

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Q: Complete the table. f(x) =    36 − x2,   x < 6 x − 6,   x ≥ 6   x 4 5 6 7 8 f(x)

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Q: Solve the differential g(x) = equation. g'(x) = 6x², g(0) = -6

A: The differential equation is given by g'x = 6x2 The initial condition is, g0 = -6 To evaluate: The…

Q: 1) Use the graph below to answer the following questions. Y 6 5. 4- 3- 2- MF -8-7-6 5 -3 -2 -1 0 1 2…

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Q: Prove the identity. sin²x 1-cos.x +1+cos.x Note that each Statement must be based on a Rule chosen…

A: To prove:- sin2x1-cosx=1+cosx

Q: Find/simply the following. Please show your work. (a) e In t

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 36. Approximate approximation A. 3.039 B. 6.078 C. 8.105 D. 4.053 E. 12.156 the integral egral; de…

A: Let's find integral by using trapezoidal method.

Q: Write out the form of the partial fraction decomposition of the function. Do not determine the…

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Q: Your cell phone plan charges a base charge each month plus a charge per daytime minute of usage. In…

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Q: Show that div curl F = 0 assuming that F is continuous and has continuous partial derivatives of…

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Q: Find the interval of convergence of Σ ∞ (x 4)" In (4n) n=2 (Use symbolic notation and fractions…

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Q: Find the Maclaurin series of the function. f(x) = ln (1 – 5x) Choose the Maclaurin series. In (1 –…

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Q: Match each linear equation with its graph Equation y = x y = y = y = S || Graph Color G a. purple…

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: Find the indefinite integral. (Use C for the constant of integration. [₁6√₁7-10 100 dt

A: Let's solve given integral.

Q: 7. Use algebra to determine whether each function is even, odd or neither. a. f(x) =xcosx+1 b. f(x)…

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Q: Find a³f əyəx² a³f dy əx² O a³f əy əx² O a³f dy əx² O a³f əyəx² for f(x, y) = exy =2rety + exy +…

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Q: Use property 8 to estimate the value of the integral 1,12 15/0 - 58 a dx.

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Q: Determine the symmetry with respect to the ?-axis, ?-axis, and the origin for the given equations.…

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Q: 5. Find when y-In () A. 2000)+ sin(x) B. In (()) 2² C. xoos (x) + sin (0 D. 2009 (3) sin(x) xsin (x)…

A: Given: y=lnsinxx   As we know that; The Chain rule: fgx'=f'gx·g'x The Quotient rule: fg'=f'·g-g'·fg2…

Q: Find an equation of the tangent to the curve at the given point. x = sin(?t),      y = t2 + t;…

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Q: If a linear function is such that  f(3) = 9 and f(5) = 15, then f(4) = ?  (Hint: No work…

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Q: Using a graphing device graph both lines in the same viewing rectangle . Round your answers to two…

A: The given equations 0.71x+3.15y=10.792.47x-1.43y=5.57 we have to graph these equation using graphing…

Q: (A) Find plane equation through points (2,4,5),(1,5,7) and (-1,6,8) and then find the area of the…

A: Given Coordinates of point = (2,4,5) , (1,5,7) ,(-1,6,8) We want to find equation of plane and area…

Q: In the given equation, find dy/dx by implicit differentiation. O (3x²+tan-ly)(1+y²) (1+y)e-x O…

A: Basic identities of differentiation is used.

Q: Use implicit O dy x ln y dx dy dx dy dx 1 dx || differentiation to find dy/dx if x In y = 3. x ln y…

A: The given term is; x lny= 3.

Q: State the domain and range of each relation. Then recognize whether the relation is a function or…

A: Given relations:- a) y=-3x+12-4b) y=1x+3

Q: 22. [0.34/0.430000000000001 Points] DETAILS Let f(x) = X and consider the limits lim f(x) and lim…

A: Given, f(x)=4x3-1,

Q: Find unit tangent of curve r(t)=

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Q: solve the differential equation

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Q: 44° x= 90 NOTE: The triangle is NOT drawn to scale. Answer the following: Round your answer to 3…

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Q: ver Series method, Solve the following - y ans: y=a. (1+2×) m

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Q: A 10-ft ladder rests against a wall at π/4 radians. If it were to begin to slip, when the bottom of…

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Q: {(1, 2), (2, 5), (3, 7), (1,3)} {(3, 3), (4, 5), (5, 11), (6, 13)] 9. 10.

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Q: For the given functions, write formulas for f of g an g of f and find the domain of each f(x) =…

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Q: (b) The graph of y=h (x) is shown. Draw the graph of y=h (2x) −3. -8 -6 -4 -2 8- 6- 4 2- -24 -4 -6-…

A: The graph is given below

Q: receive a raise in your hourly pay from $8.25 per hour to $8.75 per hour. What percent increase in…

A: Given query is to find the percentage increase in pay .

Q: Find the standard form for the equ of a circle (xh)² + (y - k)² = 7² with a diameter that has…

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Q: Evaluate I= 13+1 1-2i (2Z+3) dz Ans 17+191

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Use the slider to graph the standard position angle, then write the radian measure in degrees. 5T 6…

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Q: 26. What does the alternating series test tell us about A. The series is converges absolutely. B.…

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Q: Use partial fraction decomposition to evaluate the integral: 6r - 3 1² - dr = 2-r-20 Be sure your…

A: Topic = Integration

Q: .x = y + dy dr X2 - y²

A:

Q: 1. Let f(x) be the piecewise defined function as follows: (x-1, f(x) = {2, In your group, decide on…

A: To check whether an expression is a function, make a vertical line and observe how many times that…

Q: A. Determine the standard form of the equation of the circle given its center and radius. Draw its…

A: Given: 4) Center (0,8), radius is 55) Center (6,3), radius is 20

Q: 13. Identify the best integration technique for the following: (sin.x cos³x) dx A. Partial Fraction…

A: Identify the integration technique

Q: x5 + 16 (x²-x)(x4 + 8x² + 16)

A: Topic:- application of calculus