Given the triangle below, find the angle 0. 15 10

Q: а. b. y g(x) g(x) 6 4.

A: Graph of the function g(x) is given, we have to find the limit at x=1

Q: The graph below shows the influence of the of the temperature T on the maximum sustainable swimming ...

A: Given:   Graph is given

Q: d²f , df_ (a) +5- - + 6f =0, f(0)=1, f(0) =- 4 dt? dt

A:

Q: lim 2 tan 2/ TC 2. 8IN

A: Solving the problem by finding the value of the limit.

Q: The following is the graph of a function f(x). 4 3+ 2+ 1- 1, -1 -1- -5 -4 -3 -2 4 -2 -4 -5- Clear Al...

A: Graph of f^-1(x) is symmetrical about line y=x.

Q: [sin (21x) dx

A: ∫sin4(21x)dx Note- sin2x=1-cos(2x)2 and cos2x=1+cos(2x)2

Q: Use a calculator to solve the following equation for 0 on the interval (0, T). 1 cot (0) Find all th...

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Q: Find the cross product ax b: a=(2, – 1, 2), b=<0, 4, 5)

A: Given that: a=&lt;2, -1, 2&gt;b=&lt;0, 4, 5&gt;

Q: す() ->a g(x) =0. +oo. Then lim- Suppose that lim,->a 9 (x) O True

A: Given :limx→a g(x)=+∞

Q: 4. y=ysin 2xcos 5x + 3

A: Find your answer below 

Q: Consider sequences {an} and {bn}, where lim an = 2 and bn = (-1)". Determine which n++00 of the foll...

A: Given: limn→+∞ an=2          and           bn=(-1)n

Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

A: The given integral,        ∫1∞dxx+13

Q: Express the repeating decimal as a fraction. 0.451141414141... 0.451141414141...

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Q: • If we did not have logarithmic differentiation, what rules would we need to use to find the deriva...

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Q: 8. y= sec® (e-sin?x) |

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Q: 0.9012 82 82 82...

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Q: Internet Audience At the end of a certain year, the four companies with the largest number of home I...

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Q: Differentiate f(r)= tan(3x). Use exact values. f'(x) = %3D

A: Given ,f(x)=tan-1(3x)We know that, ddx(tan-1(x))=1x2+1Differentiate w.r.t. xApply chain rule,f'(x)=1...

Q: If the length of a certain rectangle were increased by 2 feet and the width decreased by 1 foot, the...

A: Let's find. 

Q: 4. ydx + x(Inx - Iny - 1) dy = 0, when x = 1, y = e %3D

A: I am attaching image so that you understand each and every step.

Q: 3. Below is his graph. Is his graph correct? If not, explain what mistake(s) he made. TO 8. Brian gr...

A:

Q: . Given the graph of g(x) = {√−x−2+1, x<-2   x2+2x+5,  x≥-2 below, evaluate its limit as x approache...

A: Given that: 5. g(x)=-x-2+1, x&lt;-2x2+2x+5,     x≥-26. g(x)=Graph is given.7. g(x)=-1x2

Q: The count of a bacteria in a culture was 5 initially and doubles every 30 minutes. Find the size of ...

A:

Q: Write the first five terms of the sequence: {Vn² +n – n}, n=1 Determine whether the sequence converg...

A: given sequence n2+n-n1∞  

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = a for f(x) = 18 sin(x), a = . %3D (...

A:

Q: h3-4h 3. lim h-2 h3-2h2

A:

Q: x' +2y² Show that does not exist. lim (x.y)-0,0) 2x

A: Along y = x:     limx, y→0, 0x2+2y22x=limx→0x2+2x22x=limx→03x22x=limx→03x2=0

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 10" Σ...

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Q: 2000 A television camera at ground levell is 2000 feet away from the launching pad of a space rocket...

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Q: Find the slope of the tangent line. y = cos3x at x= -5pie/12

A: Given:     y = cos3x      At x = -5π/12

Q: Evaluate the integral. Show all your work. tan’ x sec xdx 3

A:

Q: Find an equation of the tangent plane to the given surface at the specified point. 3.  z = 2x2 + y2 ...

A: Given that: z = 2x2 + y2 - 5y, (1, 2, -4)

Q: If an upper bound exists, then it is unique.  true or false

A: An upper boond of a set is an element which is larger or equal to all elements of set A. For example...

Q: Given the information below, what can you conclude about the function? f (2) = -4, lim f (x) = -4, x...

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Q: Consider the equation (y² + xy³) dx + (5y² – xy + y³ sin y) dy = 0 • Show that the original DE is no...

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Q: Find all solutions of the equation in interval [0,2pi). 6sin^2(x) = 6+3cos(x)

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Q: In the 1990s, significant numbers of tourists traveled from North America and Asia to Australia and ...

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Q: Differentiate. y = In (8x? -7x+8) y':

A:

Q: 1. Prove that the two sets of conditions are equivalent. Here, T is a linear transformation and u, v...

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Q: 2. Let E be the piece of the cone z = Va² + y² lying between z = 0 and z = 1, oriented with the 'out...

A:

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 00 12...

A: Given query is to find series converges or diverges.

Q: find the derivitive by implicit differentiation   4sin(xy) = x

A:

Q: Find the coordinates of the point/s on the curve y = 2x2 which are closest to the point ( 9, 0 ).

A:

Q: Determine whether the series converges, and if so find its sum. 00 1k+2

A: Given that: ∑k=1∞4k+27k-1

Q: Rewrite the integral in the 5 other orders. Explain your answers. 2 4-y2 f(x, y, z) dz dy dx

A: The given integral is ∫x=0x=1∫y=2xy=2∫z=0z=4-y2fx,y,z dzdydx. The domain of integral is R=x,y,z: 0≤x...

Q: sin“ x cos" xdx

A:

Q: Express the repeating decimal as a fraction. 0.685828282828...

A: Given that 0.685828282828 Convert the repeated decimal as a fraction.

Q: dentify the level curves of f(x, y, z) = x² + y² + z²

A: Given question:- Identify the level curves of f(x,y,z) = x2+y2+z2

Q: 1. SS xy dxdy , O: yob, yox? yoh, y 2 2

A:

Q: (-5sin t) dt

A: