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arcsin x dx Hint: Use integration by parts. 2. Find the arc length of the portion...
1) Find the arc length for the following curves. a. y2 = 4(x + 4)3, b....
1) Find the arc length for the following curves. a. y2 = 4(x + 4)3, b. x= 0<x<2 1 sys2 + 4y2 2) Find the surface area resulting from the rotation of the curve about X axis a. 9x = y2 + 18, b. y = V1 + 4x, 2<x< 6 1<x<5 3) Find the surface area resulting from the rotation of the curve about th Y axis. a, y = 1- x2 0 SX S1
Please show your work. 3) Use the arc length formula L-V1+If'(x) dx to write an integral that represents the length...
Please show your work.
3) Use the arc length formula L-V1+If'(x) dx to write an integral that represents the length of the parabola y =-x2-5 from x = l to x = 4 . What method do you think you would need to use to 2 evaluate this integral analytically? Do not evaluate this integral.
3) Use the arc length formula L-V1+If'(x) dx to write an integral that represents the length of the parabola y =-x2-5 from x = l...
Find the arc length of the graph by partitioning the x-axis. {(x2 + 133/2, from *...
Find the arc length of the graph by partitioning the x-axis. {(x2 + 133/2, from * = 3 to x = 6 y = 4. [-/3 Points] DETAILS SULLIVANCALC2 6.5.029. For the function, do the following. y = 16 – x2, from x = 0 to x = 1 (a) Use the arc length formula (1), dx, to set up the integral for arc length s. SV 3+ [fc] 1) ox S = (b) If you have access to a...
L = sa V1 + [f'(x)]?dx = Se 1 + 2 dx dx Examples. Find the...
L = sa V1 + [f'(x)]?dx = Se 1 + 2 dx dx Examples. Find the length of the arc of the following curves. y = Vx3 fromx = 1 to x = 4 2. y = {(x2 + 2) from x = 0 to x = 3 3. y=*+ from x = 1 to x = 3 (Ans:*) 2x 4. y + from x = 2 to x = 4 8x2 5. y = -x2 - In x from...
Question 2 (Learning Outcome 2) 0 S (*x+3) dx S A) Evaluate the following integrals. 4x+7...
Question 2 (Learning Outcome 2) 0 S (*x+3) dx S A) Evaluate the following integrals. 4x+7 2x+5) 5x2–2x+3 (ii) dx (x2+1)(x-1) x2+x+2 (iii) S3x3 –x2+3x+1 dx dx (x+1)V-x-2x In (x) dx (iv) S x2 X+1 (vi) S dx (1+x2) (vii) S dx x(x+Inx) (viii) Stancos x) dx (ix) 30 Sin3 e*(1 + e*)1/2 dx dx 2 sin x cos x (x) S B) Find the length of an arc of the curve y =*+ *from x = 1 to x...
PLEASE SOLVE NUMBER 3 AND SHOW ALL WORK 1.Find the particular implci solution to the difterential equatiothat satisfies the condition 1. Find the particular implicit solution to the differential equat...
PLEASE SOLVE NUMBER 3 AND
SHOW ALL WORK
1.Find the particular implci solution to the difterential equatiothat satisfies the condition 1. Find the particular implicit solution to the differential equation dx y y(7)- v5. Sketch a graph of your solution. 2. Write and solve the differential equation the models the verbal statement. Simplify the explicit solution. Temperature of the body and the constant temperature of its surrounding medium M." of a body is directly proportional to the difference in the...
Compute the followingelementaryintegrals.(a)dxxxxx3233/2[ 5 ](b)dxxx222[5](c)dxxsin3/0 Question [15] Compute the following elementary integrals. 3x dx 3e-*-2 ex+1...
Compute the
followingelementaryintegrals.(a)dxxxxx3233/2[ 5
](b)dxxx222[5](c)dxxsin3/0
Question [15] Compute the following elementary integrals. 3x dx 3e-*-2 ex+1 [5] x3 sec?(x4 + 2) dx [4] (b) S (0) Lix - 1dx [6] Question 2 [20] Evaluate the following indefinite integrals. x2 dx [6] (b) f(x+1) tan-+ x dx [6] 10x (c) S x + 3)(x2 + 4x + 13) dx [8] Question 3 [15] (a) Find the area of the region bounded by the parabola x = y2 – 5 and the...
Q3 ) Use numerical integration with n-3 to determine the following integration then solve it analytically...
Q3 ) Use numerical integration with n-3 to determine the following integration then solve it analytically using a proper method of integration and compare results. InLX dx 04) Used double integral find the area between the following curves y = x2y = 2 - x (5) Use shell method find the volume of the solid generated by revolving the curves y=x", y = 2 - x?, about y axis
Q1 dx, 115 5xita dx. 2) ſ tan°4x dx . 3) 06-341 S[cos(x? 4) + 1)...
Q1 dx, 115 5xita dx. 2) ſ tan°4x dx . 3) 06-341 S[cos(x? 4) + 1) + xdx, 5) prove that I cscu du = -Inlcscu + cotul + c x2 + Q2 r3 dx 1) dx 2) sino cosºede , 3) /* sec°8 de , 4) * sec`e do , 4) , Port + 4 1 5) dx . 4- x2) 4 Q3 Answer A or B (graph the functions) A-Determine the area of the region enclosed by y...
all answer Sample Test 4 1575 Calculus II 1. The region bounded by the parabola y-4x-x and the x -axis is revolved about thex- axis. Find the volume of the solid. Write answer in term of π. Find...
all answer
Sample Test 4 1575 Calculus II 1. The region bounded by the parabola y-4x-x and the x -axis is revolved about thex- axis. Find the volume of the solid. Write answer in term of π. Find the area enclosed by the curves: 2. y=2x2-4x-12 y=x2-6x+12 and 3. Find the volume of the solid obtained by rotating the region bounded by the graphs of a. y-x-9, y 0 about the x-axis. -1 about the x-axis. b. y 16-r, y-3x+...
1) Find the arc length for the following curves. a. y2 = 4(x + 4)3, b. x= 0<x<2 1 sys2 + 4y2 2) Find the surface area resulting from the rotation of the curve about X axis a. 9x = y2 + 18, b. y = V1 + 4x, 2<x< 6 1<x<5 3) Find the surface area resulting from the rotation of the curve about th Y axis. a, y = 1- x2 0 SX S1
Please show your work.
3) Use the arc length formula L-V1+If'(x) dx to write an integral that represents the length of the parabola y =-x2-5 from x = l to x = 4 . What method do you think you would need to use to 2 evaluate this integral analytically? Do not evaluate this integral.
3) Use the arc length formula L-V1+If'(x) dx to write an integral that represents the length of the parabola y =-x2-5 from x = l...
Find the arc length of the graph by partitioning the x-axis. {(x2 + 133/2, from * = 3 to x = 6 y = 4. [-/3 Points] DETAILS SULLIVANCALC2 6.5.029. For the function, do the following. y = 16 – x2, from x = 0 to x = 1 (a) Use the arc length formula (1), dx, to set up the integral for arc length s. SV 3+ [fc] 1) ox S = (b) If you have access to a...
L = sa V1 + [f'(x)]?dx = Se 1 + 2 dx dx Examples. Find the length of the arc of the following curves. y = Vx3 fromx = 1 to x = 4 2. y = {(x2 + 2) from x = 0 to x = 3 3. y=*+ from x = 1 to x = 3 (Ans:*) 2x 4. y + from x = 2 to x = 4 8x2 5. y = -x2 - In x from...
Question 2 (Learning Outcome 2) 0 S (*x+3) dx S A) Evaluate the following integrals. 4x+7 2x+5) 5x2–2x+3 (ii) dx (x2+1)(x-1) x2+x+2 (iii) S3x3 –x2+3x+1 dx dx (x+1)V-x-2x In (x) dx (iv) S x2 X+1 (vi) S dx (1+x2) (vii) S dx x(x+Inx) (viii) Stancos x) dx (ix) 30 Sin3 e*(1 + e*)1/2 dx dx 2 sin x cos x (x) S B) Find the length of an arc of the curve y =*+ *from x = 1 to x...
PLEASE SOLVE NUMBER 3 AND
SHOW ALL WORK
1.Find the particular implci solution to the difterential equatiothat satisfies the condition 1. Find the particular implicit solution to the differential equation dx y y(7)- v5. Sketch a graph of your solution. 2. Write and solve the differential equation the models the verbal statement. Simplify the explicit solution. Temperature of the body and the constant temperature of its surrounding medium M." of a body is directly proportional to the difference in the...
Compute the
followingelementaryintegrals.(a)dxxxxx3233/2[ 5
](b)dxxx222[5](c)dxxsin3/0
Question [15] Compute the following elementary integrals. 3x dx 3e-*-2 ex+1 [5] x3 sec?(x4 + 2) dx [4] (b) S (0) Lix - 1dx [6] Question 2 [20] Evaluate the following indefinite integrals. x2 dx [6] (b) f(x+1) tan-+ x dx [6] 10x (c) S x + 3)(x2 + 4x + 13) dx [8] Question 3 [15] (a) Find the area of the region bounded by the parabola x = y2 – 5 and the...
Q3 ) Use numerical integration with n-3 to determine the following integration then solve it analytically using a proper method of integration and compare results. InLX dx 04) Used double integral find the area between the following curves y = x2y = 2 - x (5) Use shell method find the volume of the solid generated by revolving the curves y=x", y = 2 - x?, about y axis
Q1 dx, 115 5xita dx. 2) ſ tan°4x dx . 3) 06-341 S[cos(x? 4) + 1) + xdx, 5) prove that I cscu du = -Inlcscu + cotul + c x2 + Q2 r3 dx 1) dx 2) sino cosºede , 3) /* sec°8 de , 4) * sec`e do , 4) , Port + 4 1 5) dx . 4- x2) 4 Q3 Answer A or B (graph the functions) A-Determine the area of the region enclosed by y...
all answer
Sample Test 4 1575 Calculus II 1. The region bounded by the parabola y-4x-x and the x -axis is revolved about thex- axis. Find the volume of the solid. Write answer in term of π. Find the area enclosed by the curves: 2. y=2x2-4x-12 y=x2-6x+12 and 3. Find the volume of the solid obtained by rotating the region bounded by the graphs of a. y-x-9, y 0 about the x-axis. -1 about the x-axis. b. y 16-r, y-3x+...
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