Find an equation of the line tangent to graph of F(x) x² + 1 x²_4 2 (3,2). write the equation in the slope intercept form y = = mx + b at the Point

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Q: u-01-)

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A: Given: Polynomial f(x) has a leading coefficient of 1, has a degree of 7 andhas roots 4,5,3-i and…

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Q: 27. f(x, y) = 3x² – 2xy + y² − 8y -

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Q: Write the vector below in trigonometric form. m = −10i +10j m = 4√5 m = 4√√5 m = 10√/2 m = 10√/2…

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Q: (a) The series For the following answer blanks, decide whether the given sequence or series is…

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Q: Evaluate the integral. π [" 10 3x³ cos(x) dx

A: To solve the given problem, we will use following integration formulae ;

Q: 1 and tan B = 1, and that angles A and B are both in Quadrant I, find the exact value of sin(A + B),…

A: Given that sin A=126 and tan B=1, and that angles A and B  are both in Quadrant I, then to find the…

Q: water faucet can fill a sink in 8 minutes, whereas the drain can empty it in 7 minutes. If the sink…

A: Water faucet can be fill a sink in 8 minutes, whereas the drain can empty it in 7 minutes. If the…

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Q: Given that f"(x) = cos(x), ƒ'(π/2) = 4 and f(7/2) = 5 find: f'(x) = f(x) =

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Q: Use the limit comparison test to determine if the series converges of [ 30².6 n-o O Converges O…

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Q: (a) lim f(x) = x → 0 (b) lim f(x) = x → 1- (c) limf(x) = x → 2 (d) lim f(x) = x → −1+ 1 y N 0 -1 2 3

A: As per our guidelines we can answer only 3 subparts of the given question. So kindly repost the…

Q: 5. Integrate (a) [² 3x +7 dx + (b) fe' de (c) [5-13dt (Note your answer should have z in it. )

A: The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

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A: We are given vector v=1,-7.We need to find a vector u in the same direction as v.

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Q: 2 X 2 [√³² L √ ² - ²³ √ x² + ²³² dy da dx 0 X

A: ∫0√2∫x4-x2x2+y2dydx

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Q: Given: (x is number of items) Demand function: d(x) 5120 √x Supply function: s(x) = 5√√x Find the…

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Q: Solve the initial value problem. x²y+xy = 1, y(1) = 5 (5+ In(x)) y =

A: We will solve the initial value problem as following

Q: 3. Practice similar Help me with this Find the quotient and remainder using long division for The…

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Q: 9. Find all the vertical and horizontal asymptotes for the following function and indi- cate the…

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

A: we have integration =∫5x2+20.5x3+0.6xdx

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Q: 4) IF F(2) = 20 and F'(x) 24 for all valves OF X, how small can F(5) Possibly be? Use mean value…

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A: Let a(t) ,v(t), s(t) are the acceleration, velocity and position of a particle respectively. vt=∫at…

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Q: (b) (c) -2 (d) 1 f's 0 0 (a) f(x) dx = -2 -1 1 ['re f(x) dx = 2 fro -1 274 -2 f(x) dx = 10 f(x) dx =…

A: As per the guidelines we are supposed to solve only the first 3 subparts. Please repost the other…

Q: 1. A rocket is fired at an angle of 25° to the ground and with an initial velocity of 120 m/s.…

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Q: 19. an = IN 2 τη

A: The sequence is given as an=12-n

Q: 3. Evaluate each of the following limits, if they exist. lim (1+1)* [A5] a) x²-√√x b) lim x+1 √x-1…

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

A: The region region bounded by the curves y=7ex,y=7e-x,x=1 Graph

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Q: 1 1 9. C₁=1+₂+3 ²+ Cn + + 1 n

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Q: Rewrite the sum using sigma notation. Σ 52 1 54 + 5 5 5 + 8 16 32 64 - (-5)+5 (3 5 2 - X + 5 128

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Q: 6. For what value(s) of k, does the function f(x)= Aex where A is some constant, satisfy the…

A: The given function is: f(x)=Aekx  ;       where A is some constant.

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Q: (c) \P) 3-X _x(x2 + 2) - dx

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Q: Each side of square is increasing at rate of 7 cm/s. At what rate is the area of the square…

A: Considering the side (s) of the square as a function of time. The rate at which the side increases…