sin(x) dA where R is the triangle in the xy-plane bounded by the x- Caleulate axis, the line y =x. and the line x= 1. 1.5 0.46 0.5

Q: Determine the value of C in on the antiderivative of F(X) = sin (x)cos"(X) for x= 0.16 and y- 1.2.…

A: To determine the value of C in on the antiderivative of Fx=sin3x cos5x for x=0.16 and y=1.2.

Q: y=sin(x), y=cos(x), and x = 0 ', on the first quadrant.

A: The given curves are, y=sin(x), y=cos(x) We have to find the area bounded by this two curve and y…

Q: 2 sin a Let f(x) = 2 sin æ + 4 cos æ 8 Then f'(x) = (2 sin (z) + 4 cos (z )² The equation of the…

A: Given f(x)=2sinx2sinx+4cosxGiven y=f(x) at a=π4So upon substituting the value of a in f(x)So,…

Q: ea between the and the X Find the anre axis Curve = Cos X from X = o to 3/2 o

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Q: la) The beam is embedded at x = L and a free end at x = 0. The applied load is w = w0*(1+Sin(tx/L)),…

A: As per bartleby guidelines only 1 question is answered please upload the rest separately. The…

Q: f(x) = 7 sin a + 2 cos a, then cos T. f'(x) = %3D f'(3) =| Find the equation of the tangent line to…

A: Given  f(x) = 7sinx + 2cosx To find f'(x) and f'(3) Also to find the equation of the tangent on the…

Q: Q2/ Let the curve (r = sin e + cos e) 1. Identify the symmetry of the curve. Then sketch the curve…

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Q: 1. Find the area bounded by the parabola y?=4ax, the x-axis, and the lines x=4a, x=9a. 2. Find the…

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Q: Consider g(x)= {a sin x + b, if x ≤ 2pi} {x2 - pi x + 2, if x > 2pi} A. Find the values of a and b…

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Q: (a) Find a function u(x, y) that is harmonic in R2 and that equals f(8) sin(30) + cos(40) on the…

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Q: ind the total area of the shaded region shown to e right given by the curve 3D2(sin x)/1+ cos x. -2…

A: Given y=2(sinx)1+cosx

Q: Using n =8 approximate the value of cos (1+ V )dx using (a) the Midpoint Rule, (b) the Trapezoid…

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Q: 7) Use the unit circle to find all values of t between 0 and 27 a) cost = V3 b) sin t = 21

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Q: nd the equation of the tangent line to f(t)=sin(t)/3+3cos(t) at t=pi/3 Use symbolic notation and…

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Q: Find the velocity, acceleration, and speed of a particle with the given position function r(t) = et…

A: Given, Differentiate the above function with respect to 't' (time) to find the velocity vector.

Q: Find the equation of the tangent plane R(with an arrow above R)(a, b) = to the surface at the point…

A: To find the equation of the tangent plane for  R→a,b=alnb,bsina,acoshb−1at the point that…

Q: e" + e¯ cosh(r) : e - e sinh(r) 2 Use our rules for differentiating e" to show that cosh'(r) =…

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Q: sin [cot(4e¬4*)]cos*[cot(4e¬4*)] dx e^x sin²(4e¬4x) Let u = cot(4e¬4x) %3D

A: Solution: Let the given integral is I=∫sin6cot4e-4xcos4cot4e-4xdxe4xsin24e-4x ......(1) Substitute…

Q: 7a/4 Evaluate the integral (sin x+ cos x) dx using the fundamental theorem of calculus. Discuss…

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Q: a:1 c R E4 t a(t) = (cos (), sin (), 2, at) %3D ↑

A: Given the curve  α:I⊂ℝ→ℝ4 given by t→αt=cost2, sint2, 2, αt

Q: 6. Find centre and radius of the circle (x- a )? + y? = c² %3D वृत्त (x -a)+ ५2%3D c2 के केन्द्र एवं…

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Q: Using modified Euler's Method to Find y (0.2) to the function f(x, y) = 5x+cos(y) where h=0.1, y (0)…

A: Given that f(x,y)=5x+cos y2xy h = 0.1; y(0)=1 We need to find y(0.2)

Q: a) Determine an equation for the sinusoidal function shown. c. y= 0.5cos 0.5(x+ )] + 1.5 d. y=-cos[…

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Q: cosi in the form x+iy = %D

A: By using Euler's relations we can find the value of cos i

Q: d 75. Proof of (cos x) = - sin x Use the definition of the dx derivative and the trigonometric…

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Q: b. Can anything be said about the tangents to thecurves y = sin mx and y = -sin (x/m) at the…

A: Given curves are  y = sin mx and y = -sin (x/m)

Q: 27. The perpendicular distance ON from the origin t line L is p, and ON makes an angle a with the…

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Q: Find all points on the curve where the tangent line has the given slope. (Order your answers from…

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Q: Consider the function z = f(x,y) = sin(x – y). (a) Plot the cross-section where the graph of z =…

A: Given z=sinx-y. (a) The xz plane is given by y=0. We get, z=sinx. This is just the sine curve in the…

Q: dx Using Trigonometric Substitution 3 sin e+C. 3 express the answer in terms of x. (x² + x + + x+1)…

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Q: -cos x + sin x in the form r sin (x + a), where r> 0, is: e A. 2 sin x+ -sin |x+ 4 B 57 2 sin x+ 4 2…

A: We will find out the required expression.

Q: The curves r1(t) (5t, t,- 2t') and 72(t) = (sin(- 4t), sin( – 3t), t - T) intersect at the origin.…

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Q: 1 .If F = r cos 0 T, T find the value of F x curl F. 11 r sin 0

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Q: dx Using Trigonometric Substitution J- 4 sin 8+C express the answer in terms of x. (x²+ x + 1) ² 4x…

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Q: 10. A vase is designed by rotating the section of the curve x(x – 1)² + 0.5 between x = 0 and r =…

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Q: Let x = 0.43 and y = 0.43. Determine the value of C when you evaluate tan-(2x)dx (Use 2 decimal…

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Q: 1+ sin r , r < 0 f(x) = COs a sin x

A: Now, check the function is continuous at x=0 or not. Thus, the function is continuous at x=0.

Q: ·S- sece tane de sece - 1 The integral S S x dx x²+√√√x²-1-1 sino de 1+ cos cose de 1-sino sec²0 de…

A: The objective is to find the correct option.

Q: (a) Find the point of intersection of the tangent lines to the curve r(t) = (5 sin(xt), 2 sin(xt), 6…

A: We can solve this using formula of intersection of tangent line

Q: Find the x-coordinate of all points on the curve y = 14x sin (17x) + 119/2x2 + 55 <x< 34 34 where…

A: Please see the below pictures for detailed solution.

Q: (a) Find given that: 3y?x + sin(2y – 4) = V(2y) (b) Find all values of the constants a and b that…

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Q: 12. In the polar coordinate system, as defined in Chapter VIlc, r and e are related to x and y as r…

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Q: Let F = Vøwhere o = et cos (Vy – x). If C is the cardioid defined by ((2 + sin 0) sin 0, (2+ sin 0)…

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Q: a. Use the definition to calculate 2x – 3 dx using right endpoints x = a +kAr . b. Verify your…

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Q: Approximate sin by using a linear approximation with f(x) = sin x. %3D 13 sin = f(a) + f' (a)·h = c,…

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Q: 0 1+x

A: For the above-given question, the answer is as shown below.

Q: 74. A particle moves in the xy-plane along the elliptical path x = 2 cos t, y = sin t, where x and y…

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Q: 12л Approximate sin by using a linear approximation with f (x) = sin x. 13 12л sin z f(a) + f '…

A: A linear approximation is given by Lx≈fa+f'ax-a. The given function is fx=sin x. So, fa=sin a…

Q: 6 sin z Let f(r) = 6 sin z + 2 coS T Then f'(x) = The equation of the tangent line to y = f(z) at a…

A: Given query is to find the derivative of the function.

Q: cos a sin a0 [4] = |-sin a cos a 0. using the the formulas, [G] = "A]' dt and %3D w = [G, G G2]e.…

A: In this question, we find the angular velocity for a given matrix  cosαsinα0-sinαcosα0001