Qno.4: Why is calculus importantin physics, Can you learn physics without calculus? Find the integration of the function f(u) = u(u+ 4) + u-4 +(u +5) + ((u+4))

Q: 2/3 1/3 b) Z=xx° X 2 (44x, + 6Y

A: Given z=x123x21344x1+6y-3.1

Q: Find the integration norm of the given polynomial on C(0, 1]. f(x) = -6x – 4 || f|| = Ex: 1.23

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Q: Express the general solution in terms of Bessel functions: z²y" + 4xy/ + (x² + 2)y = 0

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Q: Q9/ find the integration ſe^( (2x) ^3-1) x2 dx? * 1 а- 6. e2x* -1+c 1 b- e2x3 +C 1 .2x3–1+

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Q: Show complete solution. Expand, that is, perform the indicated operations on the differential…

A: We have to find out the operation

Q: 2. Given So S√x y² +8 dydx. Reverse the order of integration and evaluate. Draw the

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Q: 4.1 In aerodynamics and fluid mechanics, the functions u(x,y) and v(x,y) in f(z) = u(x,y) + iv(x,y),…

A: As per the policy, we are solving the first question. Please repost the question and specify which…

Q: 1. Use a local linear approximation of the function f(x) = Vr cos[(V2x)7] approximate v3.98…

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Q: Find the branching points of the given complex functions a) f(z) = vz+ vz– 1 b) f(z) = vz² +9

A: A branch point of an analytic function is a point in the complex plane whose complex argument can be…

Q: S(2- sec2x) elmale sec³x sec(3A – x) e ln (xle) What should be the value of A for dr to be…

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Q: By the even extension method applied to the function f (x) = e¬16x, where x > 0, the value of the…

A: We have to solve given problem:

Q: Assume that after  months, butterflies’ populace  in 1000 is calculated as: f(w) = 12w + cos(16w) +…

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Q: 15x²x³43x - 19 The integral f S can be rewritten as (x + 1)²(x² - 6x + 13) Ax + B C D Slax + + ax² +…

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Q: The expanded form of the differential operator D(xD – 1) is A xD²-1 B xD? - D xD2+1 (D XD2

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Q: 1 (b) Evaluate the integral S ; dx 2x2-12x+26

A: To evaluate: The integral of . Formula used: Integration Formula:

Q: az Suppose z is a function of r and y, and csc Vr² + yz = 2"e»in z_ Solve for dz and dy

A: Given: csc x2+yz=zyesin x To find ∂z∂x and ∂z∂y.

Q: The orthogonal trajectories of r = 5a sin 0 is, where a is an arbitrary constant r = csin 0 O r5 = c…

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Q: Consider f(x) = x^7 + 2x^4-1, 0 = 1. Integrate f over the given interval of x, using Newton Closed…

A: Given, f(x)=x7+2x4-1,  x∈0,1 if we let h=0.25 from newton-cotes formula ∫abf(x)dx=h2f(x0)+f(x1)…

Q: What is the general solution of the following ODE y' - (2y/x) = 3x3 Hint: Use integration factor…

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Q: Assume that after months, butterflies’ populace in 1000 is calculated as: f(w) = 12w + cos(16w)…

A: Given f(w) = 12w + cos(16w) +n * 100

Q: By the even extension method applied to the function f (x) = e¬19x, where x > 0, the value of the…

A: Given, fx=e-19x where x>0 using even expansion Let fevenx=e19x      -∞≤x<0e-19x        0≤x≤∞…

Q: Q5|| A|| Evaluate the definite integral of the fol dy y. Vy B| Given the following matrices:

A: According to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Show that the Cobb-Douglas production function z = Cxay1−a can be rewritten as        ln z/y = ln C…

A: Given: z=cxay1-a for converting given function in log we simplify it and then take log both side so,…

Q: 4 Evaluate the iterated integral (2x + y)2 d 3.

A: we have to find

Q: 2. Find the principal value of : (V1+jv3 sinh O A. 1.182 + j1.201 O B. - 1.182 - j1.201 O C.-1.182 +…

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Q: The expanded form of the differential operator D(xD -1) is XD² – 1 A В xD² (c) xD² +1 C D xD² – D

A: To find the expanded form of differential operator, D(xD-1)

Q: 11. Find two different antiderivatives of the function f(x) = 6x² +2ex. 1

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Q: Find the general solution of the following DE by finding an integrating factor to maket eact Hint:…

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Q: a) Exaluate: %3D :(?)6 puo (x puif (9 and (3 +x x <O %3D for which f (x)=9). Give exact working out…

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Q: 5. Use the Fundamental Theorem of Calculus to show that the function u = u(t) is a solution to the…

A: use fundamental theorem of calculus to show that the function u=ut is a solution to the initial…

Q: A b B d a The integral 15x²x³43x - 19 (x + 1)²(x² - 6x +13) can be rewritten as Ax + B D C + ax² +…

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Q: Q3: Use finite difference method to solve Laplace equation in the red (hand written plzzz) domain…

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Q: 3. Express the general solution in terms of Bessel functions: x?y" + 4xy + (æ² + 2)y = 0

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Q: Show the similarity +C J (x² + a²)mu« = 2(-m+ 1)(x² + a²)m-1 using the substitution u=x^2+ a^2. Also…

A: Let,

Q: Find the integration inner product on C[–4, 1] of the given functions. f(x) = 15x g(z) = 3r* (f, 9)…

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Q: (7) Show that the given functionis an integrationy factory Solves a) Sinydx+ Cosydy =0(e),…

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Q: In evaluating / x(4 – x)ŝdx , if we use the substitution that u = 4 – æ, then what will be the…

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Q: The expanded form of the differential operator D(xD -1) is A xD +1 O xD? -D © xD? -1 (D) O xD?

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Q: In x)2 To evaluate aX, apply integration by parts twice. For the second application of integration…

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Q: Q5) Evaluate the integral 0.61-10 (6.73x + 4.3025 107 dx 2.316 10-11 1.22-10 Using trapezoidal and…

A: The integration can be calculated using the numerical method. The formula for the trapezoidal rule…

Q: Find a solution to dA/dt=5A If A(0) =4. A(t)=?

A: Given that  dA/dt=5A If A(0) =4. To find A(t)

Q: Find the integration inner product on C[-4, 3] of the given functions. f(x) = 16x g(x) = 2x?

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Q: Find the integration inner product on C[–4, 2] of the given functions. f(x) = 15x g(x) = 2x³ %3D…

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Q: e 2x Evaluate the integral of e* +1 xp-

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Q: a) the linear approxinma ion to the function + 3X ät

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Q: Determine the expression of the integrating function if it is known that: e) S; f(x)dx : - sen(9) +…

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Q: [4] 5. Use the fact that 1 +C 4e2r dx = 2e2 to either evaluate the improper integral 2 dr, or show…

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Q: 3t e"dt 2 (1+4e3

A: Let's integrate.

Q: 3. Express the general solution in terms of Bessel functions: z²y" + 4ry' + (x² + 2)y = 0

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 2t + 1 What is the indefinite integral of dt t3 -8t + 21t – 18

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