Solve the triangle ABC if b3D 123, с — 170, ZB — 40°. a = ZA = degrees; ZC = degrees; Assume ZA is opposite side a, ZB is opposite side b, and ZC is opposite side c. State the law that you used.

Q: 44. г(t) 3 (2t%)/2, t3), for 0 < t<2 %3D

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Q: - Use the definition of derivative to find the tangent and normal equations of f(x) = (x - 3)2 %3D X...

A: We can find the tangent equation and normal equation as below.

Q: A rocket rises  s(t) = 8t5/2  feet in t seconds. Find its velocity (in ft/sec) and acceleration (in ...

A: Given that: Rise of rocket:                s(t)=8t5/2

Q: Evaluate the integral. (Use C for the constant of integration.)

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Q: b) f(x) = -log2(2x + 3) – 3

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Q: (2x-3y+6)dx-(4x-6y+2)dy=0 in Linear two variables with POI

A: Here, the given differential equation is: (2x-3y+6)dx-(4x-6y+2)dy=0 The equation can be written as: ...

Q: dy sin(2x) Find for y || dx /3 – x2 dy dx II

A: Doing the proboem by obtaining the derivative.

Q: S Vxi + 2x² + x dx

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of int...

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Q: The following function has an absolute maximum at [ Select ] and an absolute minimum at [ Select ] 6...

A: The given data is:  

Q: The prism is bisected by the xz-plane. If P = (5, 2, 4), what is the area of the rectangle formed by...

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Q: For the piecewise-defined function f whose graph is shown, find the following. (If an answer does no...

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Q: Find z dV, where E is the solid tetrahedron with vertices (0,0,0), (1,0,0), E (0,4,0), and (0,0,2)

A: The vertices of the tetrahedron are (0,0,0),(1,0,0),(0,4,0),(0,0,2).  x varies from x:0→1y varies fr...

Q: Find the sum of each of the geometric series given below. For the value of the sum, enter an express...

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Q: 43-46. Arc length Find the arc length of the following curves. 12. 4V2 3/2, 2t ), for 1 < t < 3 3 fo...

A: (46). The given curve is: r(t)=t, lnsec t, lnsec t+tan t ;          0≤t≤π4

Q: Evaluate the ff. 1.  ∫(3x+4)^2 dx 2.  ∫ sinx + sin(π/2-x)/cos x dx 3. ∫(1-r) √r dr

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Q: 2x+4

A: Topic = Integration

Q: Suppose that f(t) =t +t-5. What is the average rate of change of f(t) over the interval 4 to 5? The ...

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Q: Evaluate the following. Show solution using the basic formulas. 1. S(3x² – 8x + 7)dx

A: Let I=∫ 3x2-8x+7dxApply the Sum Rule:  ∫fx±gxdx=∫fxdx±∫gxdxI=∫ 3x2dx-∫ 8xdx+∫ 7dxTake the constant o...

Q: Ydx - xdy + x(2 - y)dy = y? ey dy %3D

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Q: A wheel turns 1,500 revolutions per minute. How fast does it turn in radians per second? 300 rad/sec...

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Q: Direction: Find the derivative of the function. y=- -z+ 2e Select one: O y' = 4x? – 1+ 2e" O y' = 4x...

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Q: Consider the following functions. f(x) g(x) = 3D Зх — 5 X + 5' Find (fo g)(x). Find the domain of (f...

A: Given that: f(x)=xx+5 and g(x)=3x-5

Q: 1. Evaluate the following limits. x² + 3x+ 2 lim, →-1 x' +4x +3 2 а. х? — 2х lim,→2 b. Vx? +5 – 3

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Q: (3xy – 4y – 1) dx + x(x-2)dy - 0 %3D

A: According to question,Given first order differential equation3xy-4y-1 dx + xx - 2 dy = 0

Q: Given that f(x) = x1°h(x) h( – 1) = 3 h'( – 1) = 6 - %3D Calculate f'( - 1).

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Q: y' = 4x(2y-y)

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Q: Find the volume OF the solid Formed by revolving the region bounded by the graphr of x- -y't 4y, and...

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Q: (2x+3) 8. S- (x2 +x+2)2

A: Let's find. 

Q: 3. The vectors i and y are each vectors of length 3 units, i.e., = | = 3. If + = V17, determine – j....

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Q: To verify whether a matrix B is the inverse of the given matrix A, we need to check whether the prod...

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Q: 1= y - 4y (-3, 3) z = 2y – y -1.

A: Given the query is to find the area bounded by the curve.

Q: The figure shows an angle 0 in standard position with its terminal side intersecting the unit circle...

A: As x =r cosθ and y=r sin(θ)Point (x,y) lies on the circle and 'r' is the radius of the circle.

Q: 2.

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Q: Solve the equation for x: log42 x + log42(x – 1) = 1. If a solution doesnt work, enter DNE . Make su...

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

Q: (x-G -0 +2) dx + 2(x+2y+2) dy:

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Q: cos? dx 1+ sin x .2 CoS" x 3) 6) cosh?vdv

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Q: If vector A is any non-zero vector, a unit vector in the same direction of A would be?

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Q: Solve the initial value problem. dy = 5 e -t sec? (5x e), y(In 4) = 4 / r 3D5 e - t dt y%3D (Type an...

A: The detailed solution is given below Thank you 

Q: 20. Express the function F(x) = 1/x + J three functions. X as a composition of

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Q: Complete the square: 2? + 3z+ = (x+ 22 – 5x+ = (r- = (x+ %3D

A: Given that:                                

Q: Direction: Find the derivative of the function. g(x) = (3 – z*) (x* – z + 1) Select one: O g'(r) = -...

A: Given:     gx=3-x2x3-x+1             =3x3-x+1-x2x3-x+1            =3x3-3x+3-x5+x3-x2       gx=-x5+4x...

Q: Given that y = 3t^3 + 1 and x = t^2 - 5. Find y' when x = 4. Express your answer in whole number.

A: Given that: y=3t3+1x=t2-5

Q: Using distance formula, show that the points (2, -1), (0, 1) and (2, 3) are the vertices of a right-...

A: Our Aim is to show that the points (2,-1), (0,1) and (2,3) are the verticesof a right-angled triangl...

Q: x3-27 dx 2. ズ-3

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Q: Direction: Find the derivative of the function. Select one: 의 o o

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: ax+: xp:

A: In this question , we can solve given integral by using substitution method. ∫un du = un+1n+1+C

Q: If sin(0) : 3 and 0 is in quadrant IV , then find (a) cos(0) (b) tan(8) (C) sec(0) (d) csc(0) (e) co...

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Q: give ure denvative of the following. Complete a. f(x) = 6 Select the correct choice below and fill i...

A: The detailed solution is given below Thank you 

Q: Solve the following DE by using separation of variables or method used in solving exact DE

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