If, BC AB= AC = α= Refer to the right triangle in the figure. Click on the picture to see it more clearly. = 3 and the angle B = 35°, find any missing angles or sides. Give your answer to at least 3 decimal digits.

Q: Use the differential equation below to answer the following questions: y = 7-y² PART 1. Find the…

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Q: The population P, in thousands, of a small city is given by the following function, where t is time…

A: The population​ P, in​ thousands, of a small city is given by the following​ function,where t is…

Q: Give a limit expression that describes the right end behavior of the function. Use - ∞ or ∞ where…

A: We find the limit value of given expression by x tends to ♾️.

Q: Find the indicated partial derivatives. a³w дz?удх а3w 0x2ay W у + 72

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Q: Differentiate the function. y' = y = 4x-7-√x 3

A: To differentiate the folowing function.

Q: = Consider the function f(x) = 100 x +² , x < 0. Determine the local extreme point 4

A: f(x)= 100/x + x/4

Q: The area of the region bounded by the graphs of y=xe*, x = 0, x = ln 10, and the x-axis is

A: Region is bounded by the graphs of y=xex,x=0,x=ln⁡10, and the x-axis Area =∫0ln⁡(10)xexdxUsing…

Q: م √x1-36 dx 3 use X ² trig substitution 69ec0 to solve

A: To solve the following integral by using Trigonometricsubstitution,

Q: = lim Δx=0 Prove that the result is equal to cosX sin( x + 4x) – sin x Δε

A: To find:-

Q: (a) lim x-0 Find the limit. Use l'Hospital's Rules where appropriate. ex - e-x-2x x - sin x 5x x-1…

A: (a). (b).

Q: 2 x 15. lim x→1 (x − 1)²

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Q: Find the Interest rate needed for an investment of $8,000 to grow to $11,000 in 10 yr if interest is…

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Q: For all x > 1, if ƒ (x) = fï ½ dt, then ƒ¹ (x) = = ○ In(x - 1) о ех x 01

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Q: Consider the equation (2xy² + 4x) dx + (2x²y + 2y) dy = Show that the equation is exact.

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Q: Use the graph of the derivative f' of a continuous function f on the interval (0,9). (a) On what…

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Q: L1: r(t) = (-3 + 3t)i + (3 + t)j L2: r(s) = (2 + 4s)i + (2-12s)j Find the points of intersection…

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Q: 1. Find the exact limit: lim sin 3x X40 x² tan 5x (b) lim X→T sin 5x Xcos 7x

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Q: Estimate the instantaneous rate of change of f(x) = 2x² +5 at the point: x = 1 In other words,…

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Q: 2. Find if y=x² + 3x-7 and x=2t+1. d²y dt2 3. Find dx and d²y dx2 if x = t - and y= 1+t 1² 1+t

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Q: Find the partial derivatives indicated. Assume the variables are restricted to a domain on which the…

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Q: The graphs of f and g are given. Use them to evaluate each limit, if it exists. (If an answer does…

A: The graphs of f and g are given.To evaluate the following limits. Note: Since, the student has…

Q: The equation R(v) = 5400 V can be used to determine the heart rate, R, of a person whose heart pumps…

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Q: Evaluate the limit exactly. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the…

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Q: Find the volume of the parallelopiped with adjacent edges PQ, PR, PS where P(2, 1, 3), Q(4, 4, 6),…

A: The objective of this question is to find the volume of a parallelepiped with given vertices. The…

Q: Find the angle between the vectors ⃗a = ⟨3, −1, 5⟩ and ⃗b = ⟨−2, 4, 3⟩.

A: The objective of this question is to find the angle between two vectors a and b. The vectors are…

Q: The graph shown represents the history of a person learning the material on limits and continuity.…

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Q: Don www doc del B enter ?! ► 7 5. If f"(x)= x(x+1)(x-2), then the graph of fhas inflection points…

A: The first question is asking for the inflection points of the function f. Inflection points occur…

Q: 7. Sim Simplify = E 5-i 1 + ai fsp

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Q: 5) If dy da = y² + 1 and x = 1 when y=0, then A) y tan (x-1) B) y =sin (x-1) C) y =√x+1 D) y = tan x…

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Q: Find a function f and a positive number a such that S² - dt = 5x-², f(t) t6 a f(x) = a = 2+ x>0

A: To find a function  and a positive number  such that,

Q: Differentiate the function. dy dx y = (4x-5)5 (4-x³) 5

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Q: Find g'(x) for the given function. g(x)=√√8x g'(x) =

A: we have give function

Q: dy 2 Use an appropriate substitution to solve the differential equation ==y=-x³y dx x 3.3

A: The given differential equation is

Q: Use the chain rule to find dz dt || dz dt z = sin(x) cos(y), x = √t₁ y = ²/

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Q: State if true or false: a) If g(x + 2) = f(x), then the g-curve lies to the right of the f-curve b)…

A: The objective of the question is to determine the truthfulness of the given statements about the…

Q: Find the equation of the tangent to the curve f(x) = (x − 2)(3x + 5x²); (Your answer should be…

A: Given,.Point is (1,4).

Q: For what value of b, does the integral f√2x + 1dx equal lim, του Σκι (12 (54) + Σ=1 2 (5k) + 1) (5)…

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Q: A particle moves along the x-axis so that its velocity at time 0 < t < 18 is given by v(t), whose…

A: Given: The graph of the velocity function  for  is shown below.To Find: To determine all intervals…

Q: For each value below, enter the number correct to four decimal places. Suppose an arrow is shot…

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Q: If F(x) = √²-9 dt, then F'(5) = A) C) -5 B)-4 D) 4

A: The given function .The aim is to find the value of .

Q: A crane suspends a 300-lb steel beam horizontally by support cables (with negligible weight)…

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Q: secy, (0)

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Q: [0, π]. Find the local and absolute extreme values of the function f(x) = x + sin(2x) on the…

A: To find the local and absolute extreme values of the function  on the interval .

Q: Write an equation for a line parallel to y = −5x + 1 and passing through the point (4,-18) U

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Q: What is the order of the following differential equation? Explain your answer. y’’’ + 2y’’ + y’ + 4y…

A: The given differential equation is

Q: Please solve the following calc problem

A: The objective of this question is to find the relative minima and maxima, inflection points, and…

Q: Determine all the values p can take such that the following series converges: (3 (2p-1)" 4n+1 1 Σ(…

A: The series is given by:

Q: /4 √2/² x sin 2xdx.

A:

Q: Verify that y = c sec² x is a general solution of y' = 2y tan x, where c is an arbitrary constant…

A: Given Data:To find:

Q: Find the derivative of f(x) = (5x ² - 8 x) 5 4 f(x) =

A: The objective of this question is to find the derivative of the function f(x) = (5x^2 - 8x)^5. This…