Differentiate the function. y' = y = In ( 16 = 3x²|)

Q: Use the information to determine the limits. (If the limit is infinite, enter 'co' or '-co', as…

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Q: -8 2 So Se dy dx

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Q: Solve the initial value problem dy € + ² = 5x√ỹ, _y(1) = 2.

A: standard form is dydx+p(x)y=q(x)given  dydx+yx=5xydivide by y  both sides 1ydydx+1x×yy=5xwe know…

Q: Find that interval) Find 4√√x +3 Sv Find a number c in [1,4] where the integrand achieves its…

A: We have to solve that,…

Q: Given the homogeneous differential equation, (4D³-3D+1)y=0. The roots of the auxiliary are Om = -1,2…

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Q: your answer State the leading term of x4 + 3x6 - 7x⁹ - 10. The leading term is -7 × Edit

A: To find leading term

Q: Find the slope of the tangent line to the curve x=t+ 1, y=2t² + t -1 at t= 1.

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Q: The general term of a sequence is given. Determine whether the given sequence is arithmetic,…

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Q: * Your answer is incorrect. Consider each function to be in the form y = k xP, and identify k or p…

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Q: A circle with center O and passing through the origin is graphed below. What is the equation of…

A: From the figure center = ( -4 , 2 ) let r = radius

Q: Find the exact value of cos( O 1 V2 O √3 2 0 -13 O 12 2 큼 -9 4

A: We can find the exact value in the below steps.

Q: @- Find the area of the region bounded by the Curves y = sinx, y = cos x, x=0 and x = 2

A: The objective of the question is determine the area of the bounded curve.

Q: EXAMPLE 5 Evaluate 9x² 8x + 8 x(x² + 4) SOLUTION Since x³ + 4x = x(x² + 4) can't be factored…

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Q: 9) The sequence a₁ = a) Diverges b) Convergest c) Converges to 15 2 d) None of the above 4n²+1

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Q: 2- Say whether each given sequence is an arithmetic sequence. Find the common difference and the…

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Q: 4) Evaluate 2 √x√x² +1 dx

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Q: Determine the values of constants a, b, c, and d so that f(x) = ax³ + bx² + Determine the values of…

A: Given,            fx=ax3+bx2+cx+d has a local maximum at the point 0,0 and a local minimum…

Q: Find the area of the surface generated when y = 2√x from 1 ≤ x ≤ 4 is rotated around the x-axis.

A: We are required to find the area of the surface generated when y=2x is rotated around the x axis…

Q: The farmer knows that the area of the rectangular enclosure must be at least 400 square meters. This…

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Q: Lim CSC X xox-² (ex-1) -2

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Q: Find the volume of the solid generated by revolving the region bounded by the curves y = y=0, x= 0…

A: To find:- Volume of solid genrated by curves y=43x+3,x=0,y=0,x=3 about x axis

Q: 8). If y is a differentiable function of X, then the slope of the curve of; 3 = 6 at point where y=1…

A: Note: Since the student has mentioned to solve question no. (8), so we are solving according to…

Q: Is the function T(s) = (6s-4) (es-5) a power function? If so, identify k and p such that T(s) = ks².…

A: The given function is:T(s)=6s-4es-5

Q: Convert from radians to degrees: 5n - b. 18 10

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: If f(2)= 5 and f'(x) ≥ 3 for 2 ≤ x ≤ 6, how small can f(6) possibly be? f(6) ≥ Need Help? Read It…

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Q: Identify the following equation without completing the square. 6y² - 4x + 2y +21=0 The graph of the…

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Q: Determine the exact value of the following expression. tan 137) 8

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Q: Find the point on the graph of the function f(x) = √x that is closest to the point (30, 0). 59 (2)…

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Q: 0 TO Lim X-O Lim X-2 CSC X -2 x-a (ex-1) e(x2-4) X-2

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Q: What are the coordinates of the point on the graph of f(x) = (x + 1)(x + 2) at which the tangent is…

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Q: Use area to evaluate the integral 7x • ! 0 dx = dx, b>0. ...

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

Q: Find the distance between the points with polar coordinates (6, π/3) and (8, 2π/3).

A: formula for distance is  D=(x2-x1)2+(y2-y1)2in rectangular coordinates  x=rcosθ and y=rsinθgiven…

Q: (D7 + 2D6 + 7D5 + 14D4 + 8D³ + 16D² - 16D - 32) y = 0

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Q: y = ln x, xy = 4, x = 1, x = 3

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

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 6x + 6 between x =…

A: The function is given as f(x) = 6x+6

Q: 11 . (870), they y equals; c) 3 mx 7) + y = x² lux, (X>0), they q) 3+hX D) 3+3nX B) 3+2nX E) 2+X+X

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Q: The differential equation below models the temperature of a 87°C cup of coffee in a 23°C room, where…

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

Q: 6) To evaluate the integral a) x = √12sece b) x = 12sine f (x²-12)² dx, we may use the trigonometric…

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Q: 10. If f(x)=√√x²-1 and g(x) = x + 1 a. 1+ b. √√x²+2x , which expression is equal to c. (x+1)²-1 d.…

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Q: Topic: Maxima-minima/optimization problems: Inverse trigonometric Functions For example, suppose we…

A: Minimum value= -pi/2  Maximum value = pi/2  For detail...go through the solution

Q: can you answer the last question?

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Q: Given the non-homogeneous differential equation y "- 4y + 4y=e²x What is its auxiliary equation? 0…

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Q: What about the horizontal asymtote? Can you explain that?

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Q: If A and B are constants, find where f''(x) = 0 I= f(x) = 9 Ar² + 7. Bx³

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 5 5. Given that sin x== 13 (a) cos(x-y); 2√5 5 x is in Quadrant I, and cos y =—- y is in the…

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Q: 6. f(x) 10. f(x) 12. j(x) f(x) 14. 16: Function 3. 7. 9. 11. f(x) 13. f(x) 15. f(x) 17: f(x) 15.…

A: Match the function with the graph of its derivatives.

Q: a²u əxəy ди dx = pt when x = 0, u = siny+ 3y² + 1 =e*cosy + 2xy when y = 0,

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Q: The Cartesian coordinates of a point are given. (a) (6, -6) (i) Find polar coordinates (r, e) of the…

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Q: ble answers No Answers Chosen The range is all real numbers. ous The equation of the asymptote is x=…

A: We will find the required.

Q: Find the local maxima and minima for the function f(x) = x² + 3x - 4. If there is more than one…

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