1. Evaluate the following limits. r+ Vr - 3x a. lim r--0 r - Vr4 + 3x

Q: Given: sin A= and A is in the second quadrant; evaluate the following expression. %3D tan 20 = 4V5 -...

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Q: Use a sum or different formula to find the exact value of cos285

A: sum formula cos(A+B)=cosAcosB-sinAsinBnow285=270+15A=270, B=15and we know that sin15=6-24 

Q: A circular swimming pool has a diameter of 16 ft, the sides are 5 ft high, and the depth of the wate...

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Q: What are the roots of the auxiliary equation corresponding to the DE 6y"+11y"-y'-6=0? Write the gene...

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Q: х+1 3. J 25 – x²)3/2

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Q: Find the Maclaurin polynomials of orders n = 0,1,2,3, and 4, and then find the nth Maclaurin polynom...

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Q: The function f is shown below. What is the value of | f(x) dx? Write your -4 answer in simplest form...

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Q: Evaluate ! d(cos x – x)

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Q: For each item, graph the function f (x). Use the graph to estimate lim f(x), lim f(x), and lim f(x)....

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Q: Question 1 - of 15 Step 1 of 1 00:26:06 Find the volume of the solid generated by revolving the regi...

A: Volume

Q: Given: sin a= and A is in the second quadrant; evaluate the following expression. %3D sin 20

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Q: 2. Write an expression for the nth term of the sequence а) 2, 8, 14, 20 ... 1 1 1 b) 1, 4 ' 9 16

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Q: 1 d.x x/1+ x6

A: LetI=∫1x1+x6dxPut1+x6=u                         (1)squaring on both side1+x6=u2x6=u2-1              ...

Q: 19x? 8x - Evaluate : lim 4x2 + 18

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Q: ese B tane dr fr Osco t tan'o) de =o Xyz le

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to g...

Q: 3. Evaluate: e-x²+2x dx (Hint: let t = (x – 1)²) %3D

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Q: Va – V34 - lim x → 34 34 - (Use calculator and write your final answer in the given box)

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Q: 25 The function f is shown below. What is the value of i/ f(x) dx? Write your -4 answer in simplest ...

A: This question is related to definite integration, we will solve it using given information. 

Q: sec e cos e O cos?9 cos²0 01 O sec?0 ||

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Q: y = b Retrieved from:basiccalc_initial_release_13june.pdf 1. lim b 2. lim エ→1.2 3. lim b エ→ー1

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Q: Consider the graph of the function y = 4 - 5". Find the equation of the line tangent to the graph of...

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Q: 3. S sin(3x) cos(5x) dx

A: To evaluate: I=∫sin (3x) cos (5x) dx

Q: Please integrate  ∫ ex / (9+e2x)3/2 dx

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Q: The graph of the function f is shown on the graph below. On the axes beneath, sketch a possible grap...

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Q: use Substitution method to Schve (3メ -2Y +1)dx -(X-2Y-3)dy=o

A: Given:   3x-2y+1dx-x-2y-3dy=0

Q: Evaluate using substitution techniques

A: Given

Q: Given the graph of the cosine function f (x) = cos x, evaluate the following limits: 27 ........ -1 ...

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Q: How to calculate this? What is the future value of $1966 that you have today, in 14 years, assuming...

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Q: sin x 5 2 0, cos x

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Q: Give linearly independent functions that are annihilated by: D5 (D- 2) (D + 3) D2(D2 – 2D + 10)

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Q: Odr + (2r +1- Or) d0 = 0

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Q: x+1 dx (25 – x²)3/2

A: We will evaluate the given integral as shown below by using trigonometric substitution

Q: 3 tan x cos x cot x = _______

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Q: A point has rectangular coordinates (2, – 2). Convert to polar coordinates, with r > 0 and 0 <0< 27....

A: Given query is to find the polar coordinates.

Q: Graph 1 Graph 2 Graph 3 2- -2- Symmetry: Symmetry: Symmetry: Ox-axis Ox-axis Ox-axis Oy-axis Oy-axis...

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Q: Find a linear differential operator (of lowest order) that annihilates the given functions: o f(x) =...

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Q: Find the equation of the tangent line to the graph of f(x) = 3x²e*-1 – 1, at ¤ = 1.

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Q: Compute the first three non-zero terms of the Maclaurin Series for f(x) = ln(x2+1)

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Q: Consider you are given the following 10 decimals: .3 .75 .8 .650 .15 .2 .35 .45 .400 .350 Use each d...

A: This question is based on hit and trial.

Q: 14. DETAILS LARAPCALC10 2.7.004. Find dy/dx. y3 5x3 +7x

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Q: Given the function f'(x) = x(xxt 4)(x – 5)³, what conclusion can be drawn directly from the sign cha...

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Q: If x= (5,-1,2), y=(1,-1,1) then x × y is

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Q: The functions f, g, and h are defined as follows. f(x) = - 6-4x g(x) = -5|-5+x| h(x) =-4+/x-3 Find f...

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Q: Use the indicated substitution to evaluate the integral. 2x cos(x) dx , u = x' sin (x²) + C 2 sin (x...

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Q: 2. x cosh x? sinh x2 dx

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Q: 2. Find the slope of the curve y? = 3x 1 at the point (-0). Draw the graph of !! the curve.

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Q: 2dt (t – 3)vt² – 6t +5

A: Given: I=∫2dtt-3t2-6t+5   ...1   As we know that; ∫11+x2dx=tan-1x+C    

Q: 11T Convert the angle to degrees. 18 00.6111° O 110° O 324° 11 3240 O none of the above

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Q: Refer to the figure and find the volume generated by rotating the given region about the specified l...

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Q: 7. SV103% dx

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