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Q: An airplane is flying in still air with an airspeed of 375 miles per hour. The plane is climbing at ...

A: Solved below

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Q: x2 dx 3 (9- х2)2

A: sin(x)=1-cos2(x) tan2(x)=sec2(x)-1 ddxsin(x)=cos(x)  

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Q: Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and...

A: Follow the procedure given below.

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not ex...

A: Find your answer below 

Q: 14. How do you find the horizontal asymptote of a 4x²+x-1 rational function f(x) = in terms of limit...

A:   Horizontal Asymptotes :- A function f(x) will have the horizontal asymptote y=L  if either limx→∞f...

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) = t/...

A: g'(t)=0⇒t×ddt(14-t)+14-tddt(t)=0⇒t×1214-t×(-1)+14-t=0⇒-t+2(14-t)=0⇒-t+28-2t=0⇒-3t+28=0

Q: If f(x) has an inverse g(x), find g'(a). f(x) = x+3x+2, a =2. O a. 1/3 O b. 1/4 O c. 1/2 O d. None o...

A: This question is based on inverse of function.

Q: 5. Suppose a ball is dropped from a height of 250 ft. Its position at time t is s(t)=-10r² + 250 Fin...

A: This is a problem related to distance and velocity. As per the general concept of instantaneous velo...

Q: 8x/3 dx

A: ∫8x1/3dx= 8x4/34/3+C=6x4/3+C

Q: Consider the coordinate vectors (w)s -3, [als [B]s %3D %3D 4. 3 (a) 8)}. w = (?, ?, ?) W 3= (b) Find...

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Q: Evaluate the integral tan (x) dx. tan (x) dx = %3D

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Q: Activity 3 Find Your Rate at this Moment Directions: Differentiate the following functions and deter...

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) f(x) - 5x...

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist, ...

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Q: Determine the x-intercept(s) of the quadratic function f(x)=x²+ 8x+ 12. (-6, 0), (–5, 0) no x-interc...

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Q: Find the slope of the tangent line to the given curve at the indicated point by using the two-step p...

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Q: 5. (а) (—4, 4) (b) (3, 3/3) 6. (а) (/3, -1) (b) (-6, 0)

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Q: Solve the differential equation. (Hine: Property of log: ea In t = eln t“ = tª) xy '+ 4y = sOX, x > ...

A: See the answer below

Q: The diameter and height of a right circular cylinder are measured to be 5 to 8 inches, respectively....

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Q: Vcot3x csc*3x dx

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Q: A farmer has 80 feet of fencing to enclose three sides of a rectangular plot of land (the fourth sid...

A: topic- application of derivatives

Q: a1 五 Check Answer May leave numerator and denominator factored, 4-3 - 4. 6. 7. 6. Write the equation...

A: Graph will be of the form f(x)=p(x)/q(x). As vertical asymptotes are x=-2 and x=3 , x=-2 and x=3 wil...

Q: Suppose you know • lim f(æ) = o and lim g(x) = o. • lim f'(2) = - 4 and lim g'(x) = 7 %3D * 00 2 109...

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Q: Apply the limit laws and evaluate. If your answer is "DOES NOT EXIST" please type DNE. (2 points eac...

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Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 36x2 +...

A: for horizontal tangent,  dy/dx =0

Q: INATU 12. + 4y2x = -xy?

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Q: explain how int of cos 2x (cos^2 x + sin^2 x - 2sin x cos x) / (cos x - sin x) dx turned into int...

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Q: 1. Consider the function f(x) = {x + 2, values to find the limit of the following: - x - 6, x > 0 x ...

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Q: f(2)=

A: Follow the procedure given below.

Q: ja2x* +x-a))dx = 24, 3. If find the value of a constant.

A: Here, given that: ∫026(2x2+x-a)dx=24⇒∫02(2x2+x-a)dx=246⇒∫02(2x2+x-a)dx=4...(1)

Q: (a) The region in the figure is rotated around the y-axis. Using the strip shown, write an integral ...

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Q: g(*) = ln (-3x+11) %3D calculate (X), A) 2(-3r +11)-3 B) -3(-3r + 11)-1 C) -54(-3r + 11)-3 D) -9(-3r...

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Q: Find dy/dx implicitly and find the largest interval of the form -a < y < a or 0 < y < a such that y ...

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Q: 5. The Detective branch from the Dhaka Metropolitan Police has come to ask you for assistance on det...

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Q: 22 + 88

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Q: Find the angle O between the two vectors given below. 0%3(5,2)cnd v= (-6,-1). Ako drawa figure.

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Q: 10. A Norman window is constructed by adjoining a semicircle on the top of an ordinary rectangular w...

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Q: Eval the Pt: dx

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Q: 7. Evaluate the following integral by changing the order of integration in an appropriate way: 12xze...

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Q: A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude ...

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Q: Calculate M6 for f(x) = v6x over [3, 6]. (Use decimal notation. Give your answer to two decimal plac...

A: The function isf(x)=6x over [3,6].The number of sub-intervals is n=6.

Q: 12w3+6w2-5w+1 h : 5w+3

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Q: 35. 3Vx dx

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Q: If f(x) = 8x* arctan(3x*), find f' (x). f' (æ) =

A: Answer is given below.

Q: Hw X+22=9 zy +7=8 4X -3y =-2 Aus , X=1 ,u=2 ,Z=Y

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Q: Find the values of b such that the function f(x)=x²+ bx + 59 has the given minimum value 10. +16 +20...

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Q: An open box is to be made from a 16" by 30" piece of cardboard by cutting out squares of equal size ...

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Q: Find the volume of the region bounded by y = x², y = 8x, x = 0, and x 2 rotated around the x-axis. N...

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