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Q: Use the Laplace transform to solve the given initial-value problem. y" + y = √2 sin(√2t), y(0) 13,…

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Q: Say whether the following statements is true or false 1 x = ²( ² ( ² + 2) = = = √( ²³ sin2t.dt 1. +4…

A: As per the company's guidelines, we are supposed to solve first three sub-parts for you, kindly…

Q: Determine the volume generated of the area bounded by y=√√x and y=-x rotated around x=5. 2 A 128/15…

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Q: Differentiate and simplify this function f (x) = x2/3 sin(x)

A: We have to find the derivative

Q: cos(x² + y²) = y² sinx² y² = ln(x² + y²)

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Q: 21 = 106 55 104 102 ܐ

A: We have to find the sum of the series.

Q: Find the directional derivative of f(x,y)=sqrt(x²+y²) at P(4,- 3) in the direction of μ=[8,-15].

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Q: Use the theorems to evaluate the limit. lim x³ x → 2

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Q: 6. show that the complex Fourier series of the function; f.(.t.) = t ..。. st.s.1. is...:. i2nt e j…

A: Fourier series of function is given.

Q: Determine the area of the shaded region. 14r y=7x-x² 12 10 8 6 2 y=x (6,6)

A: Solve by integration

Q: 15. dx 16x* - 1

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Q: Q2: The equation of the tangent line to the graph of y=1² and 1=4x² at 1=1 is (not that x is…

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Q: dr. T About OX -2 2 y=√16-1²

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 6. [ sinxcosxdx

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Q: 15. Find the inverse of matrix A. A = 38 26

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Q: Let y = tan(5x + 2). Find the differential dy when x = 2 and dx = 0.3 Find the differential dy when…

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Q: Find the general solution of the differential equation: dy dt Use lower case c for constant in…

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Q: 3. dy dx + y = 2xy²e²

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Q: The Cartesian equation, x = 3, is equivalent to the polar equation, Or² = 3 cos 0 3 COS O r = r = 1…

A: We are given a Cartesian equation  x=3 and we have to which among the following is it's equivalent…

Q: 14. Solve for x. 2¯¾ = 8(x-3)

A: Given, 2-x2=8x-3

Q: A ramp is inclined at 12° to the horizontal. A cart is pulled 8 m up the ramp by a force of 120 N,…

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Q: 8 kg/m, where x is measured in meters from one end of the rod. √x+1 The linear density p in a rod 3…

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Q: (3 Ian and Ada are both training for a marathon. Ian's house is located 20 km north of Ada's house.…

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Q: Hello, complete the attached Calculus question correctly and show all your work completely without…

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Q: A particle moves along a line with a velocity v(t) = -21 +5, measured in meters per second. Find the…

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Q: dx 5. ≈ 16 x J dx – x2

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Homework Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule.…

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Q: Evaluate the six trigonometric functions (the unit circle). a) t= 5 corresponds to the point (x, y)…

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Q: Differentiate the function. 5 y = 6e* √ Read It Need Help? Watch It Master It

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Q: } L 1 (s? +1)(s? + 25)

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Q: Q5: If y= tant and x = cost then at t= is (not that these functions in N) dx a) -1 b)0 c) d) I e)…

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Q: The Kirk Kelly Kandy Company makes two kinds of candy, Kisses and Kreams. The profit, in dollars,…

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Q: Given A(1,3,-7) and B(0, 2,-4), the magnitude of AB is a. √147 b. 3 C. √11. d. 3.3

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Q: Find the general solution and particular solution of this equation. (Non-anonymous question) xydx +…

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Q: Let y 5x²8x + 4. If Ax = 0.1 at x = 1, use = differentials to estimate Ay Ay ~

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Q: 17 Simplify cot(arcsec 1) undefined 1 0 -

A: Given problem:- Simplify cot(arcsec(1))   undefined 1 0 -1

Q: MATHS HOME A 41. If f (x) = f[ta (A) 3-e^/4 4 J'a (B). tan((nx) +- dx & f(1) = 0, then f (e/4) is -…

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Q: At 12:00 noon, there were 200 bacteria present. By 4:00 pm, there were 379 bacteria. If the bacteria…

A: At 12.00 noon, there were 200 bacteria present.By 1:00 pm, there were 379 bacteria.

Q: Question. R is the region bounded by the functions f(x) = 3e¹ - 1 and g(x) = x² - 6. Find the area…

A: R is the region bounded by the functions fx=3ex-1 and gx=x2-6. To find the area of the region…

Q: X912 65. f dx is equal to - √1+x" (A) = log(x² + √√x+1)+c 7/2 (C) 2√1+x" +c HT (B) log +C x" 11/2…

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Q: At 12:00 noon, there were 200 bacteria present. By 4:00 pm, there were 379 bacteria. If the bacteria…

A: Suppose N=N(t)=The number of bacteria at time t Where t is time in hours since 12:00 noon

Q: Given the function G(x)=√x² - 4, G(x - 1) = √x² 2x 3 x² 3 x²+2x-3 x²-3 O

A: Solution is done in step 2

Q: Find the solution by using Solution of 2nd order D-Es 2 X ý XỨ ty - xy + y = Lnx -

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Q: Ex: Expand fit) = +² o<t <2π in a Fourier Series expansion : Sol: 2 L = 2 T /// L = π -411 -27 2 tr…

A: I am attaching image so that you understand each and every step.

Q: For vectors and shown, drawu - 2 13 19 V

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Q: Use multiple application of simpson's 1/3 rule to numerically in- tegrate: f(x) = 8 + 5 sin (x) 0 to…

A: We need to use Simpson's one third rule.

Q: {(† - ₹)}₁_^

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Q: EX: Expand fit) = +² o<t<2π in a Fourier Series expansion : Sol: 2L = 2 T qu L = π -41 -2π 4T 27T 21…

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Q: 26/ Given the triangle 39° 11 answer to 4 decimal places. x = x find the length of side x using the…

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Q: Q/ find the vector whose length -5 and its direction (60°) with x axis

A: Here, the amplitude A=5, and the angle with x-axis is θ=60°.