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10. (10 marks) Evaluate and simplify the following expression: (((12 + k) mod (2 + k))...
Please answer both questions Simplify the following rational expression. 5a - 10 6a - 12 5a...
Please answer both questions
Simplify the following rational expression. 5a - 10 6a - 12 5a - 10 62 -12 (Simplify your answer. Type an integer or a fraction.) Simplify the rational expression 2x? - 5x - 12 x² - 5x+ 4
please simplify Problem 2.3 Evaluate or simplify the following integrals or expression as much as possible...
please simplify
Problem 2.3 Evaluate or simplify the following integrals or expression as much as possible (show your work). (a) L, 8(t)x(t – 1)dt (e) , 8(at)dt (i) cos(10zt) [8(t) + 8(t + 5)] sin (b) 8(t – T)x(t)dt (f) 8(2t – 5) sin nt dt (c) L 8(t)x(r – t)dt cos (x - 5)|6(x – 3)dx (sin ke (B) e*-2 8(w) (k) 6(r – t)x(t)dt (d) (h) Jt-11 t+9 8(1 – 3)đr Problem 2.3 Evaluate or simplify the following...
10. Simplify each expression and write it without using factorial notation. (3 marks each) (n+4)! (n+2)!...
10. Simplify each expression and write it without using factorial notation. (3 marks each) (n+4)! (n+2)! a. b. (n-r+1)! (n-y-2)!
1. Evaluate the expression when x=-5 - 3x² + 2x - 7 2. Simplify: 4+ 2(x...
1. Evaluate the expression when x=-5 - 3x² + 2x - 7 2. Simplify: 4+ 2(x + 3) – 7(2x - 5) 3. Subtract: (5y² + 4y + 3) - (y? – 7y + 10)
Given F(x,y,z)-xyzit y'zj+ xz'k. Evaluate the following operations if possible. (2 marks) (a) div F (2 mark...
Given F(x,y,z)-xyzit y'zj+ xz'k. Evaluate the following operations if possible. (2 marks) (a) div F (2 marks) (b) curl F (2 marks) (c) grad (div F) (2 marks) (d) grad (curl F)
Given F(x,y,z)-xyzit y'zj+ xz'k. Evaluate the following operations if possible. (2 marks) (a) div F (2 marks) (b) curl F (2 marks) (c) grad (div F) (2 marks) (d) grad (curl F)
Question 10 (2 marks) Attempt 1 Use Green's theorem in the plane to evaluate '(17cy-3x)d3sy2 dy K anti-clockwis...
Question 10 (2 marks) Attempt 1 Use Green's theorem in the plane to evaluate '(17cy-3x)d3sy2 dy K anti-clockwise around the closed path C given by the curves: y=0, 1 sxs 3, r 3, 0 s0 s T, y 0, -3 sxs-1, r 1, TT2 0 2 0. Evaluate the line integral as a double integral using polar coordinates. Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression For example: 10.13906368...
Use identities to simplify the following expression. Do not use a calculator. (sinotelua cos pere...
Use identities to simplify the following expression. Do not use a calculator. (sinotelua cos pere) car Do not evaluate. Type an exact answer, using π as needed. Use integers or fractions for any numbers in the expression.)
Use identities to simplify the following expression. Do not use a calculator. (sinotelua cos pere) car Do not evaluate. Type an exact answer, using π as needed. Use integers or fractions for any numbers in the expression.)
5.2.23 Use the properties of logarithms to evaluate the expression. In e In e15 15 Simplify...
5.2.23 Use the properties of logarithms to evaluate the expression. In e In e15 15 Simplify your answer.) Enter your answer in the answer box and then click Check Answer All parts showing
Problem 3: Evaluate the following expression using phasor identities 102-30° +(3-14) (2+14)(3-15)* Problem 4: Simplify 5cos(or...
Problem 3: Evaluate the following expression using phasor identities 102-30° +(3-14) (2+14)(3-15)* Problem 4: Simplify 5cos(or +539)+ V2 cos(@r+45) using phasors (much easier than using the cosine addition formula three times!) Problem 5: Express the following sinusoids in sin form. Which sinusoid leads? By how much? V = -10cos(or +509) v, = 12 sin(01-10)
1. Simplify the following Boolean expression: (solution should be one term) XY+XY 2. Simplify the following...
1. Simplify the following Boolean expression: (solution should be one term) XY+XY 2. Simplify the following Boolean expression: (solution should be one term) (X+Y)(X+Y)(X'+Z”) 3. Simplify the following Boolean expression ABC+ABC'+AB'C+AB'C' 4. Simplify the following Boolean expression AB +A'C +BC 5. Simplify the following Boolean expression. (A+B)(AB)
Please answer both questions
Simplify the following rational expression. 5a - 10 6a - 12 5a - 10 62 -12 (Simplify your answer. Type an integer or a fraction.) Simplify the rational expression 2x? - 5x - 12 x² - 5x+ 4
please simplify
Problem 2.3 Evaluate or simplify the following integrals or expression as much as possible (show your work). (a) L, 8(t)x(t – 1)dt (e) , 8(at)dt (i) cos(10zt) [8(t) + 8(t + 5)] sin (b) 8(t – T)x(t)dt (f) 8(2t – 5) sin nt dt (c) L 8(t)x(r – t)dt cos (x - 5)|6(x – 3)dx (sin ke (B) e*-2 8(w) (k) 6(r – t)x(t)dt (d) (h) Jt-11 t+9 8(1 – 3)đr Problem 2.3 Evaluate or simplify the following...
10. Simplify each expression and write it without using factorial notation. (3 marks each) (n+4)! (n+2)! a. b. (n-r+1)! (n-y-2)!
1. Evaluate the expression when x=-5 - 3x² + 2x - 7 2. Simplify: 4+ 2(x + 3) – 7(2x - 5) 3. Subtract: (5y² + 4y + 3) - (y? – 7y + 10)
Given F(x,y,z)-xyzit y'zj+ xz'k. Evaluate the following operations if possible. (2 marks) (a) div F (2 marks) (b) curl F (2 marks) (c) grad (div F) (2 marks) (d) grad (curl F)
Given F(x,y,z)-xyzit y'zj+ xz'k. Evaluate the following operations if possible. (2 marks) (a) div F (2 marks) (b) curl F (2 marks) (c) grad (div F) (2 marks) (d) grad (curl F)
Question 10 (2 marks) Attempt 1 Use Green's theorem in the plane to evaluate '(17cy-3x)d3sy2 dy K anti-clockwise around the closed path C given by the curves: y=0, 1 sxs 3, r 3, 0 s0 s T, y 0, -3 sxs-1, r 1, TT2 0 2 0. Evaluate the line integral as a double integral using polar coordinates. Your answer should consist of a single number accurate to five decimal digits or as an exact rational expression For example: 10.13906368...
Use identities to simplify the following expression. Do not use a calculator. (sinotelua cos pere) car Do not evaluate. Type an exact answer, using π as needed. Use integers or fractions for any numbers in the expression.)
Use identities to simplify the following expression. Do not use a calculator. (sinotelua cos pere) car Do not evaluate. Type an exact answer, using π as needed. Use integers or fractions for any numbers in the expression.)
5.2.23 Use the properties of logarithms to evaluate the expression. In e In e15 15 Simplify your answer.) Enter your answer in the answer box and then click Check Answer All parts showing
Problem 3: Evaluate the following expression using phasor identities 102-30° +(3-14) (2+14)(3-15)* Problem 4: Simplify 5cos(or +539)+ V2 cos(@r+45) using phasors (much easier than using the cosine addition formula three times!) Problem 5: Express the following sinusoids in sin form. Which sinusoid leads? By how much? V = -10cos(or +509) v, = 12 sin(01-10)
1. Simplify the following Boolean expression: (solution should be one term) XY+XY 2. Simplify the following Boolean expression: (solution should be one term) (X+Y)(X+Y)(X'+Z”) 3. Simplify the following Boolean expression ABC+ABC'+AB'C+AB'C' 4. Simplify the following Boolean expression AB +A'C +BC 5. Simplify the following Boolean expression. (A+B)(AB)
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