Given f(x)=sin x and g(x)=logx, determine the domain of (fog)(x) and explain how you found this answer.

Q: Explain how you would convert the vector a = 5 km with a bearing of 135° in Cartesian form.

A: Given a→=5 km and bearing of vector θ=135°

Q: Find the average rate of change of the function over the given intervals h(t) = cott a. b. π 3π 4' 4…

A: Given function f(t)= cot twe know that Average rate of change of function y=f(x) over the interval…

Q: = Express the following equation in standard form: y · 2(x + 2)² − 6

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Q: Mr. Anderson has chosen to build the rectangular garden with a length of 40m and a breadth of 30 m.…

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Q: stimate the instantaneous rate of change of f(x)=logx at x= a) 0.000087 b) 0.0043 c) 2 d) 0.00043

A: Topic:- calculus

Q: 10. Which of the following is FALSE about the parabola for the function f(x) = (x + 2)² − 6 a) The…

A: The given parabola function fx=23x+22-6 The general parabola equation y=ax-h2+k where, h,k be the…

Q: Determine whether the following equation is separable. If so, solve the given initial value problem.…

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Q: Determine the type of function shown in the graph below. a) Polynomial function b) Rational function

A: As per the graphical knowledge we have following conclusions.

Q: x+4 5 y-2 -5 2+1 1

A: Given the equation is x+45=y-2-5=z+11

Q: In March 2020, the PH coronavirus cases recorded was 2 089. By month of August 2020, the number of…

A: Here is the function we can use to calculate this. P= P° × e^rt Where p= population affected after…

Q: Calculate the integral of f(x, y, z) = 3x² + 3y² + zª over the curve c(t) = (cos t, sin t, t) for 0…

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Q: Evaluate I se sech¹0d0. 4

A: We have to find out integral

Q: 1 and g(x)=x² +2, then go fmay be expressed as x-2 axa + 2ßx + ¥ χα + βχ - β If f(x)=- g(f(x)) = =…

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Q: Prove the following, using the definition of a limit (convergence to a point). 3 n+2 lim 2- 004-u =…

A: We have given to prove  limn→∞2-3n+2=2 Taking left hand side of equation LHS = limn→∞2-3n+2 LHS =…

Q: A particle moves according to the position function s (t) = est sin (4t). Enclose arguments of…

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Q: 1. S(√t -√² + ³√³) dt

A: Solution:- Step:1                    1.         ∫(t -t23+t35 ) dt

Q: Find the limit if it exists. lim (12x+1) X-6 Which of the following shows the correct expression…

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Q: Determine the values of a, if any, for which all solutions of the differential equation y" — (2a −…

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Q: If r(t) = cos(2t)i + sin(2t)j - 4tk, compute the tangential and normal components of the…

A: We have to find tangential component and normal component

Q: the differential equation 3(3x^2 + y^2)dx - 2xydy = 0 is homogeneous of what degree? A 1 (B) 2 Ⓒ 3

A: To find out the degree of the given differential equation.

Q: Introduction to Calculus in Economics: Calculus is a powerful tool used in economics. One of the…

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Q: Use Stokes's Theorem to evaluate Jo F. dr. In this case, C is oriented counterclockwise as viewed…

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Q: 27) Two points A and B are on opposite sides of a building. A surveyor selects a third point C to…

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Q: √x√x-2 dx

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Q: Find the volume of the solid with the order dzdydx bounded by x2  + y2  = 4 and the planes x + z=2,…

A: Given x2+y2=4 x+z=2 x=0, y=0 and z=0

Q: 18. Create an equation and sketch the graph of a function using the following table: Time 0 15 30 45…

A: Given qiestion:- Create an equation and sketch the graph of a function using the following table:…

Q: Calculus is a powerful tool used in economics. One of the initial applications areas is the study of…

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Q: 6) Find the derivative f'(x) using the limit definition for f(x)=√x - 3 lim Ax→0 f(x + Ax) = f(x) Ax

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Q: At 6:00 am airplane #1 has an elevation of 25310 ft and is descending at the rate of 250 ft/min. At…

A: Solution ) for the plane #1 Elevation = 25310 ft  Descending = 250ft/min E(t) = elevation ± rate ×…

Q: Find the area of the surface. The part of the plane 3x+2y+z=6 that lies inside the cylinder x² + y²…

A: Since, the equation of the cylinder is x2+y2=4 and  3x+2y+z=6⇒z=6-3x-2yParameterize the surface of…

Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the…

A: The given integral ∫2x2+4x-3x-7dx use the integral formulas, ∫udu=un+1n+1+C∫du=u+C∫duu=lnu+C

Q: Use the law of sines to solve the triangle, if possible. B=44°, C = 27°, b=30

A: Recall: Sum of angles of triangle is 180 degrees.

Q: The included angle of the two sides of fixed equal length x in an isosceles triangle is u gGven that…

A: The included angle of the two sides of fixed equal length x in an isosceles triangle is u Given that…

Q: Q1: lim Q2: lim (x-1)(x-2) x+1 x-001+stnx Q3: f(x) = x²-16 đêm 5244 A) 3 (A) B) 00 (B) 00 18 (C)-8…

A: We need to find limit.

Q: 1. y=es²

A:

Q: Which of the ff is equivalent to the double integral: a. f¹ ln(2x) − In(x + 3) dx b. ln(x + y) -…

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Q: Find the product z₁z₂ and the quotient Z1Z2 = N 11 Express your answers in polar form. Z2 Z₁ =…

A: We know that general property of trigonometry is - Cos(A+B ) = CosACosB - SinASinB. And Sin(A+B) =…

Q: Question 5 b)

A: Please see the below picture for detailed solution.

Q: Given a cost function C(x) = 20 + 10x + 5x², calculate the average cost at a productions level of x…

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Q: Let h (x) = f(x) g(x). If f (x) = x² + x and g(x) = -2x² + 4x - 1 what is h' (0)?

A: NOTE: Refresh your page if you can't see any equations. .

Q: sec x In the figure to the right, the equation of the solid curve is y= 2 dashed curve is y=2 cos2x.…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 1 ) / ( ₁ + ²x^²) = ( -da f (₁ () [ dr. - 2³-1 2+1 (d) 2² + 7x+12² (a) +at da. dr.

A: Evaluate the integrals

Q: What is the slope of the the tangent line to y=1/x^5+−1/x^3 at x=1?

A: Given y=1x5+-1x3 and x=1

Q: Find an algebraic expression equivalent to the given expression. Hint: form a right triangle. cos (2…

A: Topic- inverse trigonometric functions

Q: Find the exact length of the curve. r(t) = (51, 3cos (1), 3sin (1)), -4≤1≤4 OA. 16√3 OB. 0 OC. 8/26…

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Q: 2 Evaluate the following integrals 10 S log₁0 (lox) dx 170 X

A: We need to evaluate integral. NOTE - As per Bartleby's guidelines we can solve one question from…

Q: The vector [6, j, 1] is perpendicular to the vector [-5, 2, 3]. What is the value of j? 06 O None of…

A: We have to find the value of j.

Q: f(x) = 2x + 3 5 -4x+9 427 4 x-6 for a 3 AMM Let f be the piecewise function defined above. Which of…

A: The given piecewise function, fx=2x+3 for x<15for x=1-4x+9for 1<x<34for x=3x-6for x>3…

Q: Find the limit of the transcendental function. (If an answer does not exist, enter DNE.) 6-6e-x lim…

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Q: 4 4 cosh' (In (sin x)) 4 In (sin x) $ Let / be a function whose second derivative is continuous on…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.