Question A particle moves along a line with a velocity v(t) = t2-9, measured in meters per second. Find the total distance the particle travels from t = 0 seconds to t = 4 seconds. Enter an exact answer. Sorry, that's incorrect. Try again? 64 3 meters

Q: Find the derivative of the function y = Provide your answer below: y = 0 3x² √x-7 using logarithmic…

A: NOTE: Refresh your page if you can't see any equations. . take natural logarithm on both sides

Q: If sin z 8 , x in quadrant I, then find (without finding x) 9 sin(2x) = cos(2x) = tan (2x) =

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

Q: Problem 2 √√x-3 x-9 For the function above, please find the following: a) The domain of the function…

A: NOTE: Refresh your page if you can't see any equations. . as we know, the denominator cannot be…

Q: The polar coordinates of a point are given. Find the rectangular coordinates of this point. 2π 3…

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Q: = 4 sec 0. Find the Cartesian equation for the polar curve r =

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Q: Find the vertical asymptote(s), if any, of the function below. If there are none, select "none" for…

A: We have to find the vertical asymptote.

Q: Recall that cos(bt) = = 1 -(eibt - e-ibt). Use the linearity of the Laplace transform to find the…

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Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r =…

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Q: Find the nth Taylor polynomial for the function, centered at c. P4(x) = f(x) = 1 +2, n = 4, c = 5

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Q: Use a definite integral to find the area under the curve between the given x-values. f(x) = x² from…

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

Q: Let f(x) be a smooth and continuous function. If f(x) has a local maximum at a = a, then whic of the…

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Q: Evaluate the definite integral. [2²5 ( x - 11/12) 0x dx 4

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Q: 56. V4 - 16x²

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Q: Part 2 of 6 (b) Use the function to approximate the Canadian population on January 1, 2030. Round to…

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Q: Find the polar equation for the Cartesian curve x² - y² = √√x² + y².

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Q: Problem 4.10 Find the slant asymptote of and sketch the curve. y = 2x³5x² + 3x x2 -x-2

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Q: Find the second derivative of the function. f(x) = 9(5-2x)4 f"(x) = Submit Answer

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Q: 5. Solve the differential equation O 2 (3ײ–1³ e3 о 2 3x2-1 +C (3x²-1) Ce3 O None of these 1…

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Q: Use summation notation to write the sum. 12 - 3 + 3 4 3 256

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Q: Question Given f(x)=2₁, find f' (3) using the definition of a derivative. Provide your answer below:…

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Q: Find the indefinite integral. (Use C for the constant of integration.) tan? 10 sec 1. X X dx

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Q: Find the differential of the function f(x,y)=−5x√yf(x,y)=-5xy at the point (8,2)(8,2) using…

A: Concept: The value of dz and ∆z is given by  dz=∂f∂xdx+∂f∂ydy∆z=f(x+∆x,y+∆y)-f(x,y) Here ∂f∂xand…

Q: A thermometer is removed from a room where the temperature is 70° F and is taken outside, where the…

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Q: Find the area of the region common to the circles r=-6 sin 9 and r= 3.

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Q: Find the limit using l'Hospital's rule when appropriate. Find the limit as x approaches 0 of…

A: L'Hospital Rule :-  If a function f(x)=p(x)q(x)  then limx→af(x)=limx→ap(x)q(x) is of the form 00…

Q: Find the area between the curves:  and  y= -x2+4x+2 and y=x2

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Which one of the following is an antiderivative of the function f(x)=sec² (2x+1)

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Q: Find the area of the region common to the circles r=-6 sin 9 and r= 3.

A: answer is in next step. please give a like !!

Q: World consumption of a certain metal is running at the rate of 352e0.02t thousand metric tons per…

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Q: An oral medication is absorbed into the bloodstream at the rate of 4e-0.04 milligrams per minute,…

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Q: 12. Find the directional derivative of f(x, y, z)=zy+yz+xzat (1, 1, 2) in the direction of u =…

A: We can find the directional derivative in the following steps.

Q: The area of a healing wound is given by A = ². The radius is decreasing at the rate of 2 millimeter…

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Q: Solve the equation. Write the solution set with the exact solutions. Also give approximate solution…

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Q: Use implicit differentiation to find y² + 8x³ = 3y - 4x² dy dr

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Q: 4. If x= sin² and y = 1 when x = 0, then find the value of x when y = 3. 0 O 8 None of these

A: Topic- differential equation

Q: Find the exact length of the polar curve. r = 3 sin(0), 0≤0 ≤ π/4

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: g(t) = 9(t) = tf - 2t+ 12 4 그리

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Q: Assume that I and y are both differentiable functions of t and are related by the equation y = cos…

A: The equation is given as , y=cos5x and dxdt=-4 when x=π10 find dydt when x=π10.

Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

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Q: Question 4 Find the gradient of the function at the given point. w = 2x - 4yz+z², (1, 1, −2) 21+…

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Q: Consider the graph of the function g given by g(x) = n(x2+1) for 0 0. 0.81 0.6 0.4 0.2 0 20 40 60…

A: Given data:- The given function, g(x)=ln(x2+1)x         for (0<x)

Q: Verify the identity. (Simplify at each step.) Let 8 = sin X-2 tan(sin−¹(*²)) = √9+ (x - 2)² X-2 -¹…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform.(Write your…

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Q: Given compute the following integral. Provide your answer below: (f(x) + g(x)) dx = [ f(x) dx = 5…

A: Given that , ∫35fxdx=5 and ∫35gxdx=14 find ∫35fx+gxdx=?

Q: Complete the table for each radioactive isotope. See Example 1. (Enter all amounts in grams. Round…

A: Please refer to the image below

Q: Find the area bounded by the pair of curves. y = x² + 4x and y = 4x + 1 square units

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Q: Evaluate the integral using the following values. [³x³ dx = 260, [³x dx = 10, [³dx = 2 (26-9x-x³) dx

A: We can find the answer as below,

Q: Locate all relative maxíma, relative miníma, and saddle points, if any. f(x,y) = 8x² + xy - 3y - 6x…

A: Given function, f(x,y)=8x2+xy-3y-6x+2.

Q: 5. Use Newton's method to find all four solutions of 4z cos(2r) - (r-2)2 = 0 in [0, 8 accurate to…

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