Rewrite – 3 sin(x) 5 cos(x) as A sin(x + 6) Note: should be in the interval – π < p < π Check Answer

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Q: Find the volume of the solid that results when the red region is revolved about the x-axis. f(x) = √…

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Q: is being pumped into a spherical balloon at a rate of 3 cubic meter per minute. find the rate of…

A: Topic:- application of derivatives

Q: Solve the following initial-value problem: 3 y'=x³ - 2xy; y (1) = 1 2y=x²-1+2e¹-x² 2y²=2x²-1+e¹-y²…

A: We will find the required solution.

Q: Use L'Hospital's rule to determine the following limit. Use exact values. e7x1 lim x →0 sin(9x) =

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Q: 67 please

A: Let's perform a rotation of axes to eliminate the xy term.

Q: Find the slope of the tangent line to the curve 3 - 1x² + 2xy + 1y³: = at the point (1, − 3). - 34

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Q: 3. Which of the following gives the correct subsidiary equation? 1 A. SY + 1+ Y = - S-2 B. SY-1-Y =…

A: Topic = Laplace transform

Q: Evaluate fix +41 10x In(x) -dx. 2x

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Q: 1. Graph f(x) 2. Evaluate the following limit: a. lim f(x) X→-2- b. lim f(x) X→-2+ c. lim f(x) X→1…

A: NOTE: Refresh your page if you can't see any equations. . the given piecewise function is

Q: An ice cube was taken out of the freezer with a temperature of -18°C and place on a glass. The…

A: Given 1. Initial temperature of the ice cube is -18 °C. 2. Temperature of the room is 32 °C. 3.…

Q: Determine the point (x,y)(x,y) on the unit circle associated with the following real number s. s=…

A: Given :For Unit Circle,Coordinates are given in the form of trigonometric function x=cosθy=sinθ

Q: Show complete solution and draw the figure The volume of a cube is increasing at the rate of 6 cm^3…

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Q: Question 2 Using the graphs of f (x)and g(x) from the video, find k'(6), where k (x) = k'(6)= k(6)…

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Q: 2. Calculate the following derivatives without simplifying at any step. a. f(x) = 2* (sin(x) – 3x)…

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Q: na mild Saturday morning while people are working inside, the furnace keeps the temperature inside…

A: Given data:- The given temperature inside the building, T0=22°C The given temperature outside is…

Q: If the parabola y=x^2+C is tangent to the line y=4x+3, find the value of C. a. 5 b. 6 c. 6

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Q: (b) {ln(12n+2) - In(9 +4n)}

A: The given sequence is; [ln(12n+2)-ln(9+4n)].

Q: Use the linear approximation of f(x, y) = /52³-cy at the point (1, -2) to approximate the value of ƒ…

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Q: olve the following differenti dy dx I (1+x)y + xy² X

A: Let's solve given diffential equation.

Q: Obtain the differential equation for each family of curves. Identify the complete classification of…

A: We know Standard equation of circle with center h,k and radius rx-h2+y-k2=r2

Q: x-1 Find all x values at which f(x) = - (x+2)(x² + 4x- removable discontinuity and redefine the…

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Q: Given the function below f(x) = √−18x³ +45 Find the equation of the tangent line to the graph of the…

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Q: (x5 + 3y)dx - x dy = 0

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Q: The height of a cone is increasing at a constant rate of 6 centimeters per minute. The volume…

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Q: At time t, the position of a body moving along the s-axis is s= -t³+15t2-72t m. a. Find the body's…

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Q: (c) x² + 3x + 1 x² - 4 fo²t dx

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Q: Write the product as a sum: 4 sin (32w)sin (14w) Check Answer =

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Q: III. Find the equation of the tangent line to at the point (7,0). ㅠ ye* + cos x = sin x +sinh(2 . −…

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Q: Textbook @ Videos ¹ [+] Let F(x) = f(x³) and G(x) = (f(x))³. You also know that a² = 8, f(a) = 3,…

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Q: Use the chain rule to find the derivative of Type your answer without fractional or negative…

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Q: a. what is the solution set of f(x) = 0? ? B. what is the solution set of f(x) o?

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Q: For the following questions, use the exponential decay model,A = A0e^kt 3) The half-life of lead is…

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) the half-life of the…

Q: One fine day in Rochester the low temperature occurs at 5 a.m. and the high temperature at 5 p.m.…

A: NOTE: Refresh your page if you can't see any equations. . ..............(1) where T=temperature and…

Q: tab trail A agtian Z 2 Question 12 Textbook @ If f(x) = f'(x) = 4x+6 2x+3' Submit Question W f'(1) -…

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Q: Solve the initial-value problem for x as a function of t. dx (t² - 6t+ 8). dt = = 1, (t > 4, x(6) =…

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Q: 5x-3 Find the equation of the tangent line to y=; at 3x-5

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Q: ग Calculate the partial derivatives and using implicit differentiation of (TU-V)² In (W - UV) = ln…

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Q: dy Find when e + 7y² = 2³. da 0 dy dz O dy da 3x² 2 (ev+14y) Ody da 3.x² ev + 14y Oe+14y=3x² 32² -…

A: We can find the derivative and hence the correct option in the below steps.

Q: Find all solutions of the equation 2 cos 3x = 1 in the interval [0, π). The answer is x1 = , x2 =…

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Q: Is this set of ordered pairs, a function or not a function? {(5, -1), (3, -5), (2, -5), (0, -2),…

A: Given the set of ordered pairs is (5, -1), (3, -5), (2, -5), (0, -2), (-1, -3).

Q: Determine whether the improper integral converges or diverges. If it converges, determine the value…

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Q: Let 1 f(x) = X - - 1 A) First calculate f'(a) = lim h→0 f'(a)= (i) ƒ' ( − 2) = = (ii) ƒ'(0) = (iii)…

A: To find the derivative.

Q: There are 1,000,000 bacteria that being cultures in a laboratory. The bacteria has a continuous…

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Q: The volume of a cube is decreasing at a constant rate of 536 cubic centimeters per second. At the…

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Q: Let f(x) f'(x) = 4 x Find f'(x).

A: The given function is f(x)=4x To find : The derivative f'(x)=?

Q: Let s(t) = 6t³+ 45t² + 108t be the equation of motion for a particle. Find a function for the…

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Q: For the differential equation (2y3 – x³) dx + 3x y²dy = 0, what is p (x) and q (x) ?

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Q: 1. Determine the Laplace transform of the function: f(t)= ett sin2t A. F(s) = B. F(s) = C. D. F(s) =…

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Q: 19.) Find the integral or antiderivative. 2-x+ 5 X -dx

A: