Q: B.S(cos x + cos 5x)dx D.S(cos x – cos 5x)dx A.S(sin x + sin 5x)dx C.S(sin x – sin 5x)dx 8. S sec³x…
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Q: 3. Verify that ysin x-xy =0 is a solution of the equation y(cosx-y)dr+(sin x- 2xy)dy =0.
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Q: 2 sin? 11. y = 3x 2x2 12. y = cos°V2x – 1 3. 13. у %3D Vtan(х?)
A: As we know that; The chain rule: fgx'=f'gx·g'x The Quotient rule: fg'=f'·g-g'·fg2 The Power rule:…
Q: Differentiate: y = sinh° (sin 5x) Oy' = 15 cos 5x sinh (sin 5x) cosh(sin 5x) Oy' = –15 sin 5x sinh?…
A: dsinh (ax)dx=a cosh (ax) dsin(ax)dx=a.cos(ax)
Q: 5. S 11 sin ( 4x – 6y) cos ( 6x – 4y) dy - -
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Q: 1 If z = 2x2 – 3y with u = x² sin y and v = 2y cos x, determine expressions %3D az dz for and du
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Q: Obtain the General Solution : • tan'ydy : sin xdx e • COS "x sinx dx o • (3t sinix) dx = sin 4x dy
A: Solve above differential equations.
Q: Consider the following IVP: y +y = -cos x; y(0) = a, y'(0) = b Find the general solution. A y(x) =…
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Q: y = In(cos 3x) %3D 1 (- sin 3x)(3) Cos 3x y' %3D y' = 1 (- sin 3x) cos 3x 1 y' = (3) sin 3x %3D -…
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Q: If y = sin(x + 4) cos(7 – x), then is dx A. sin(2r – 3) B. -sin(7–x) cos(x+4) C. cos(2r – 3) D.…
A: We have to find derivative
Q: Differentiate y = sin(3x + 4y) cos(3x+4y) 1+ 4 cos(3x+4y) з cos(3x+4y) 1+4 cos(3x+4y) cos(3x+4y) a.…
A: y=sin3x+4y
Q: y" + y = 3x sin x
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Q: 3. If y = (sin 4x)², find y' %3D a.) 4 sin4x cos 4x b.) -4 sin4x cos 4x c.) -8 sin 4x cos 4x d.) 8…
A: “Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: 10. Find , if y = dy 1-cosx dx 1+cosx
A: Given y = (1- cosx) /(1 +cosx) To find dy/dx
Q: 3+2cosx dx is equal to (2+3cosx) sin x 2 cosx 2+3cos x) 2+3sin x 2 cos x 2 sin x (d) 2+3cosx 2+3sin…
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Q: [ 2x sin (4x)dx O =cos (4x) + C -x² 4 2 sin (4x) + 8x cos (4x) + C sin (4x) – x cos (4x) + C ○중cos…
A: Integration by parts
Q: Find dx ar and simplify the result whenever possible *+ sin2x sin' 5x 1. y = 2. y sin5x 3. y sin? 4x…
A: Given The equation is y=-35cot5x3+cot3x3-3cotx3-x
Q: 1. If f(x, y)=3x' sin y- y² cos x- 2yln x– xh y- 4xy , find- of ôf ô²ƒ ô²ƒ
A: Given: fx,y=3x3siny-y2cosx-2ylnx-xlny-4xy2
Q: Find y' in y=sin¹ (5x5+2x) + Tan-¹ (x²) 1 1 1+x² -(5x5+2x)² A. y' B. y' C. y' D. y' = = 25x¹+2…
A: Given:y=sin-1(5x5+2x)+tan-1(x2) y'=dydx=dsin-1(5x5+2x)+tan-1(x2)dx…
Q: 4. (3sin y- 5x)dx +2x cot ydy = 0 Ans. x'(sin y-x) = csin²y
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Q: 21. Integrate x cos(2x² + 7)dx. sin (2x²+7) 4(x²+7) B. sin(2x²+7)+c A. +C C. D. 4 4 sin(2x² +7)+c…
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Q: If x= cos n + cos 2n and y=sin n + sin 2n show that 2xy= sin 2n+2sin 3n+sin 4n
A: See the attachment
Q: 2. +4y= sin(3t), y(0)=2, y'(0) = 0
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Q: For 2= sin (5x) cos (54) 2x calcolate partial deriu atives.
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Q: 3x cos 8x dx e3x e3x A) [8 sin 8x - 3 cos 8x] + C B) [8 sin 8x + 3 cos 8x] + C C) (8 e3x sin 8x + 3…
A: "Since you have asked multiple question, we will solve the first question for you. If you want any…
Q: Differentiate: y = In cosh (cos 2) O y' = 6 sin 2z tanh(cos 2z) y' = -6 sin 2a coth(cos 2x) Oy = -6…
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Q: 7. 2r tan y dx + sec² y dy = 0
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Q: Verify y = 4 cos(2x) + 6 sin(2x) is a solution to y" = -4y.
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Q: 1- (x²1) + dy 2xy = 1 ty Cosx Ex Sinh 2- Sin(x) dy dx 3- - dy dx + 3x²y = x²x³ + 4- xlnx dy dy +y =…
A: Since you have asked multiple questions,we will solve the first question for you . If you want any…
Q: The general solution of y" + 16y3 cost is: Select one: a. y= C, cos(4t) + C2 sin(4t) + 1 -tcost 15 O…
A: Using Solution of Linear Differential Equation
Q: Find and simplify the result whenever possible dx 1. y=x+sin2x 1. y = 4 1 sin' 5x 3 2. y sin5x - 3.…
A: Solving for the number 4: 4) y=3xcos(x3)-9 sin(x3) To…
Q: (2) Show that y=x sinx is a solution to y"+y= 2 cos x.
A: To Show: y=x sinx is a solution to y''+y=2cosx
Q: S sin x coszxdx = cosix + c cosix + O Option 2 O Option 3 -cosix + e -cosix + c O Option 4 O Option…
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Q: 4. [(3sin 2f – 3 cos 5t )dt 5. sin x dx cos x
A: 4) Given: ∫3sin2t-3cos5tdt =∫3sin2t dt-∫3cos5t dt taking constant out…
Q: Find the general solution 6. y"+4y' = sec2x Solution 6. y=c, +c, cos 2x+c, sin 2x+ 16 sin 2x -In(sec…
A: Given differential equation is y'''+4y'=sec2x We have to find the solution of the given differential…
Q: 8. 4 6° sin°3ycos *3y dy
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Q: 35. Given that d = 6(sin 2x - cos 3x) and y = 0 dx when x = 0, y = A -3 cos 2x - 2 sin 3x – 3 B 3…
A: We can solve this problem using initial value problem.
Q: 2) Integrate: S(29sinx + 6e + 5 cos x + Vx)dx
A: Given that, The integral ∫29 sinx +6ex +5 cosx+x5 dx By using ∫f(x)+g(x)dx =∫f(x) dx +∫g(x) dx ∫ 29…
Q: B\ Suppose that = 4 cos² t , x = d²y =- V3 sin(2t) and 0 <t <n. Show that sec3 (2t). dy 2 tan(2t)…
A: Dear student, there is a mistake in the question. The second derivative should be…
Q: y"+4y=sin 2x, where y(0)=3 and y'(0)=¾
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Q: 1- LS7 cos(y)esin(y)+9x dydx 2
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Q: 2. Solve (sin y – 3x² + 5)dx + (y +x cos y)dy = 0. (Test for exactness and solve)
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Q: 6. S cos 4x cosx dx will yield B.금sin Sx + 등sin 3x +c А. sin 5x + sin 3x + C c. 글cos 5x-글cos 3x + C…
A: Note: As per company policy we should solve only one question. So kindly repost the other questions…
Q: (4) find dy if 3って - ソ= e* (2Co83x +3Sin3x) e = Sin (x+3y).
A: Given 1. y=e2x2cos3x+3sin3x 2. e2x=sinx+3y
Q: 2. If y = 3 sin(2x + 3) show that y" + 4y = 0
A: Given function is: y=3sin(2x+3) To show y''+4y=0 Finding first derivative of given function:…
Q: Consider the following IVP: y" + y' = -cos x; y(0) = a, y'(0) = b Find the general solution. A y(x)…
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Q: The general solution of y"+ 16y3cost is: Select one: а. y = C, cos(4t) + C, sin(4t) + tcost 15 b. y…
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Q: 3) e4x = sin(3x + 4y)
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- show that if A occurs in a larger proportion of the cases where B is than wgere B is not, then B will occur in a larger proportion of cases where A is than where A is not.How should I choose between d and e- if d does not exist neither would e, right?Show that: if A occurs in a larger proportion of cases where B is than where it is not, then B will occur in a larger proportion of cases where A is than where A is not.
- Suppose a company charges a premium of $150 per year for an insurance policy for storm damage to roofs. Actuarial studies show that in case of a storm, the insurance company will pay out an average of $8000 for damage to a composition shingle roof and an average of $12,000 for damage to a shake roof. They also determine that out of every 10,000 policies, there are 7 claims per year made on composition shingle roofs and 11 claims per year made on shake roofs. What is the company’s expected value (i.e., expected profit) per year of a storm insurance policy? What annual profit can the company expect if it issues 1000 such policies? Determine the probability of a composition shingle roof claim out of 10,000 = ______ Determine the probability of a shake roof claim out of 10,000 = ______ How many claims are made out of 10,000? = _______ What is the probability of no claims out of 10,000? = _______ How much does each shingle roof claim cost the company, don’t forget each person pays $150…In 3b where did you get the yp=(a + bx) fromin a certain city, 60% of the heads of household own the house in which they reside, and 80% of the heads of the household have full-time employment when considering what percentage of heads of household both own their home and have a full-time job, a student estimates that 48% of heads of household fit both requirements, stating that (0.60) (0.80)=0.48. is this student correct in his approach?
- Suppose 51 percent of the customers at Pizza Palooza order a square pizza, 73 percent order a soft drink, and 47 percent order both a square pizza and a soft drink. Is ordering a soft drink independent of ordering a square pizza? Yes NoSuppose a fair die is tossed two times. Let X be the larger of the two faces that appear. Find px (k).a man is investigating the populaion of bear in two areas. Area 1 and Area 2. He expect the number of bear to be X and Y in area 1 and area 2 to be Poisson- distributeted. He expect the number og bear to be λ1 = 3 in area 1 and λ2 = 5 in area 2. Find P(X = 2) and P(X ≥3) and find an approximate value expression for P(X = Y)