Find x: 55° L H E 60° F G 5x+15

Q: Given the expression sech ey +cosh ek = In xy, find the value of dx when x = -63and y = -97.

A: Given,  sech e2y+cosh e2x=ln xy

Q: || Solve the following equation for B, where -T<B<T. sec2ß – 1 V3 %3D tan (-B) 3

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Q: Find the solution 9. (y – cos?x)dx + cosxdy =

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Q: Use the graph to find the value of sin 360 90 270 (a) 0.6 (b) 0 (e) 02 (d) 04

A: Here we have to find the value of sin 360° Let y = sin 360°

Q: Find the exact value. cos 285° Vo - V2 A) B) 4 4 V6 + V. D) 4 | C) 4

A: Proceed as shown below...

Q: Find the following for the given equation. r(t) = (e-t, 3t², 2 tan(t)) (a) r(t) = (b) r(t) = (c)…

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Q: Determine whether the equation is exact. If it is, then solve it. (tan y – 2)dx + (xsec²y+ ÷)dy = 0.…

A: A differential equation Mx,ydx+Nx,ydy=0 is said to be exact differential equation, if ∂M∂y=∂N∂x. To…

Q: 3. xe' ty dx = xydy

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Q: 2 d y d y + dx? + y = e* dx?

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Q: Find x() given r(t) =(d'.d sint,e cost)

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Q: cos'p dp 3) 1- p?

A: Sol:Given ∫cos-1PdP1-P2     ....(1)now we have ,ddP Cos-1P = -11-P2 ...(2)from (1), u = cos-1P…

Q: For the figure show find: dy dx y? + x2 = 32 y = x V32

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Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

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Q: Find the area of one leaf rose r=a cos 2B

A: The given polar curve is: r=a cos 2β

Q: dy If y = tan? x, find da

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Q: cos (2? + y')dA where D = {(x, y) | 16 s a² + y² < 36} Find

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Q: 2) t? t et sin 4

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Q: C. Find tan A. A. 12 A 16 D. 20 3/435 415 413 B. C.

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Q: For the function y=4 sin (4x+Tt/2) +2 find a ,b & c a e

A: To find value of a, b, c we need to draw the  graph of function then measure the value. Note that…

Q: The temperature for a small town can be modeled by the equation T (t) = 35 cos (t - 220)+ 60 , where…

A: Topic = Application of Derivative  t = 220

Q: Find f), (b) f(r) tan(2r)

A: To find f’(x).

Q: Solve the following equation by variation of parameters ? y" + y = sin x

A: Replace y" by m2  to obtain the auxiliary equation. equate the roots to α±βi to obtain the values of…

Q: Find the following for the given equation. r(t) = (e-¹, 3t², 6 tan(t)) (a) r(t) = (b) r(t): (c) Find…

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Q: Find the following for the given equation. r(t) = (e-t, 3t², 4 tan(t)) (a) r(t) = (b) r(t) = (c)…

A: Topic = Derivative

Q: The blood pressure (B) of an athlete is given by: B(t) = 20 sin [(8pi t)/3] + 90. If his blood…

A: According to question,Given equation,Bt = 20 sin 8πt3+90,

Q: Find the following for the given equation. r(t) = (e-t, 7t², 9 tan(t)) (a) r(t) = (b) r"(t) = (c)…

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Q: А k 90° t C

A: To find :  tan A = tan B= Solution: tan (theta) = opposite side/adjacent side

Q: Solve the equation dy + (cot t) y = sin t dr

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Q: The temperature for a small town can be modeled by the equation T (t) = 35 cos (t – 220)] + 60 ,…

A: Given: The equation modeled for the temperature for a small town, Tt=35 cos 2π365t-220+60, where T…

Q: – Só Si, sec²(rx³) dxdy

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Q: Find the following for the given equation. r(t) = (e, 7t², 9 tan(t) %3D (a) r'(t) = (b) r"(t) = (c)…

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Q: Find an equation of the form y = ab" + c sin G2) that fits the data below 3 32 122 X 1 2 y 2 14 To…

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Q: Solve the equation: dy dx - (cot x) · y = (cosec x) y

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Q: Find an equation of the form y = ab + c sin r) that fits the data below 2 %3D 1 2 3 y 20 54 160 To…

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Q: For the figure show find: dy dx y +x 32 J32

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Q: tan (3x-y)j and g = TT In

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Q: The displacement of a particie on a vibrating string is given by the equation s(t) = 14 + sin(14xt),…

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Q: Find the following for the given equation. r(t) = (e, 5t?, 6 tan(t)) (a) r'(t) = (b) r"(t) = (c)…

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Q: The temperature for a small town can be modeled by the equation T (t) = 35 cos (t – 220) + 60 ,…

A: According to our guidelines we are supposed to only one question. Kindly repost other question as…

Q: Find F(s). L[t(e + e)?) F(s) = %3D

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Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A: To verify the identities  tan2x = csc2x × tan2 x - 1 By using identity, sin2x =  1-cos2xtan2 x =…

Q: The value of cosxdx is а. —1 b. 2 с. О d. 1 e. None

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Q: Solve the following equation y" – 2y' + y = Answer: y = C,e' + Czte' – e' In(1 + t²) + teʻ tan-i t

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Q: What is wrong with the following equation? sec 0 tan 0 d0= sec 0 7/3 ]r/ = -3

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Q: Find the following for the given equation. r(t) = (e-t, 5t², 5 tan(t)) (a) r(t) = (b) r"(t) = (c)…

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Q: 2) Fill In Table with answers cot 0 sec 0 CSc 0 0° 90° 180° 270 360°

A: see below the answer here we don't need any explanation

Q: Find the current in the RLC-circuit when inductance is 0.1 H; resistance is 20 ohms, C = 0.0002…

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Q: Find the exact value of the expression. 10) sec tan B) 2 C) V3 A) 1 D) 2

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Q: Find the following for the given equation- r(t) = (e-t, 7+², 2 tan(t)) (a) r(t) (b) r"(t) = (c) Find…

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Q: y csc 3y? cot 3y² dy

A: Given problem:- ∫ y csc(3y2) cot(3y2) dy

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.