10. What is the equation of the slope of the line tangent to the function, f(x) = * 2 X_sin x´sin(x)

Q: Find the area of the surface obtained by rotating the curve y = sin(4x) about the a- axis from x 0 t...

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Q: Find the local extrema and saddle points of f(x, y) = x² – 4xy + y° + 4y.

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Q: Find the critical point(s) of the function. f(x, y) = 4e-+4y (Give your answer as a comma-separated ...

A: Given the functionf(x,y)=4ex2−y2+4y

Q: Given P = R³ S°T0.5 + R0.5 S sin(2T) what is P as

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Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). f(x) = x + 6x - 7

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Q: y= Sn (tan (8x) ニ

A: A detailed solution is given below

Q: 5)ohow all Stes in the solution of the polynomial ineguality beiow. (メーム じ o

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Q: Find each function value and limit. Use ∞ or co where appropriate. 3x3 - 6x2 f(x) = 10x* +5 (A) f(- ...

A: given f(x) =3x3-6x210x4+5at x = -6f(-6) = 3×-63-6×-6210×-64+5f(-6) = -0.067at x = -12f(-12) = 3×-123...

Q: A retailer anticipates selling 4,000 units of its product at a uniform rate over the next year. Each...

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Q: Obtain Pole, zero, gain values of the transfer functions given below. Also verify your result theore...

A: We have to obtain the values of pole zeros and the gain of the given transfer function.   Note- As p...

Q: the supply and demand functions of a given product QS is x2 + 14x + 22  and QD = -x2 - 10x = 150, de...

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Q: sing permuations or combinations: Six people were asked to randomly select one food item from a lis...

A: topic- permutation and combination

Q: dt cos°(2 sin" 21)/1– 4r cos(2 sin2t

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Q: 1 I3 = %3D fals true

A: we need to find the given is true or false.

Q: Quadrant I Quadrant II Quadrant III Quadrant IV 13л 13л 33л 5л - - 3 4 11 3

A: -13π9C=-13π9x180π°-13π9C=-13x20°-13π9C=-260°-13π9C≡360-260°-13π9C≡100° And 90°<100°<180°Theref...

Q: The resultant of two forces has a magnitude of 23 N in the northwest direction. What is the equilibr...

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Q: 2/3 Consider the function f(r)--7(x--3)**. For this function there are two important open fntervats:...

A: We need to find the Critical points of  f(x)=-7x-323

Q: 5. [(csc h5B- coth 5B) dß

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Q: o y" + 2y' + 2y = 0 y" + 16y = 0 o y" - 4y' + 3y = 0 y" + y = 0 y" + 2y' + y = 0 у" - Зу' — 4у 3 о E...

A: Concepts: f(x) = e-x10[cos x + sin x]    f(x) = e+x10[cos x + sin x] 

Q: Find the maximum and minimum values of g(t)=|t−6|+7 on the interval [−10,10].

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Q: Solve the given differential equation by undetermined coefficients. y" + 4y' + 4y = 4x + 5 y(x) =

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Q: Find the indefinite integral. sin 60 v cos 60 de Step 1 To solve the integral | sin 60 v cos 60 d0, ...

A: We can solve the indefinite integral as below.

Q: dx Find 1+tan x

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Q: Find and equation of a) the tangent plane and b) the normal line to the given surface at the specifi...

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Q: Solve the given initial-value problem. y" – 16y = 6, y(0) = 1, y'(0) = 0 y(x) =

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Q: dy 1+ sin 4y

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Q: 3. Find the number of paths from A to B, travelling along the lines, downward or to the right.] A B

A: Using combinatorics =(m+n-2)!/(n-1)!(m-1)!

Q: Compute the following limit. 1-e3* as x approaches 0 3x

A: Given: Compute the following limit.1-e3x3x as x approaches 0limx→01-e3x3x

Q: iii. 1-sinx

A: Perform integration

Q: 0 -2 0 4 2 0.5 a 2 ,X= Y= 3 7 Let A= b 2 -1c and Z= Given that X + Y = Z, find- if 3 d possible-: (S...

A:

Q: 4. What is the slope of a roof on a house that has a vertical height of 2.4 feet from the ceiling of...

A: topic - slope 

Q: )In this problem, you will find the volume of the solid generated by revolving the region bounded by...

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Q: 21. x2y lim (xy)-(0,0) r2+y2 22. lim (xy)-(0,0) sin (r+y2 Vr2+y2

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Q: Study the sign of f(x) = -x + 6x – 9. %3D

A: Given: - The function is, f(x)=-x2+6x-9 To study: - The sign of given function f(x).

Q: Find the maximum and minimum values attained by f(x,y,z) = xyz on the unit ball x2+y2+z2 ≤ 1

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Q: Let f(x) = (3 – a) f(1) has one critical value at A = For I < A, f(r) is Select an answer Select an ...

A: We have to find the critical point and monotonic intervals.

Q: A retailer anticipates selling 4,950 units of its product at a uniform rate over the next year. Each...

A:

Q: Use the difference an+1– an to show that the sequence - {n – 9n}+0 In=1 is strictly increasing or st...

A:

Q: Me

A: ∑n=9∞  1n13-2 comparing with ∑n=9∞  1n13limn→∞ anbn = limn→∞  n13n13-2= limn→∞  11-2n3= 1lim &gt; 0 ...

Q: Hint: the conjugate of the denominator #svon sinx - cosx + 1 sinx + 1 %3D xS200is sinx + cosx + 1 si...

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Q: de

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Q: x-1 pose g(x) Find the value of x in the interval 1, o0) where g(x) takes on its maximum value.

A: Given query is to find the the value of x where g(x) will be maximum.

Q: Determine if the improper integral converges and, if so, evaluate it. dx | 8+x Write F if the integr...

A: We will evaluate the integral.

Q: A company estimates that it can sell 3,000 units each month of its product if it prices each unit at...

A: We need to maximize profit.

Q: Q 3/ Find the psints the Curve y=2x=3=? 12 x+20 on where the tangent is parallel to the X-aXis

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Q: What is the general form of an ellipse with foci at (0, ±2), and vertices at (0, ±4)7

A: Given query is to find the equation of the ellipse.

Q: ydy +4y+11

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Q: Explain the following intervals on the line numbers-3<x<5

A: We will explain the given interval on the number line in the following step.

Q: Consider the following equation. xy + 2x + 3x² = 8 (a) Find dy/dx by implicit differentiation. y' = ...

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