Find the right match for the following ODEs in the dropdown menu y' = y" JS sin(x) 5xy' = y - 3x²y" = +5 tanh(x/y) y = e' + sin(t + 5)y exy' = "√² + sin(x) ✓ Choose... 2nd-order linear inhomogeneous ODE 1st order non-linear ODE None of the other options 1st-order linear ODE Euler-type ODE Choose... Choose...

Q: π f(x,y) = sin 3(x+y) over the square 0≤x≤60sys 6. R

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Q: e 288 Find the values of the sine, cosine, and tangent for each LA. (10. 11. 12. A 10-12, 14-22 80 m…

A: We have to find out trigonometric ratios As per guidelines we have to solve one question Please…

Q: n-1 3n-1 Determine whether the series Σ=1 is convergent or divergent. If it is convergent, find its…

A: Using Cauchy criteria find that series is divergent

Q: 22) A- Find the distance between the line (y=x+3) and center of circle (x²+y²-2x=0). B- Using…

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Q: Use the triangles given on the right to evaluate the expression given below. If necessary, express…

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Q: (Q8.6) Choose five other iterated integrals that are equal to the given iterated integral. 10 10 10…

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Q: Talse. If f is not piecewise continuous on [0, co>), then {f(t)} will not exist. True False

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Q: Let y Ay - 5x² + 8x + 4. If Ax = 0.4 at x = 5, use linear approximation to estimate Ay I Submit…

A: We know that ∆y=f(x+∆x)-f(x). So,             ∆y=f(x+∆x)-f(x)      =f(5+0.4)-f(5)      =5·…

Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then the integral L{f(t)}…

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Q: Let f be a function defined for t 2 0. Then the integral {f(t)} =[e-stf(t) dt is said to be the…

A: We need to find Laplace.

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Given,           ℒ-11s2+1s2+25

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: f cos(x³) x² dx. O 1 ¹ cos4 + c 4 1 3 sin x²+ C 1 1 ¹ cos4 + c - 4 -3 si sin x³+ C

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Q: 5. а и д2u 02u дх2 + дуг + а и 02u дz² = 0

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Q: Hole with r=2 O 5 4

A: Let the lenght of the rectangular prism be=l        the width of the rectangular prism be=b and the…

Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function. 4x -…

A: we use the maclaurin series of sin x to find the maclaurin series of the given function

Q: Classify the given differential equation according to its type, order, degree, and linearity. d²y…

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Q: Given: f(t) = 3t4 + 6. Evaluate: F(3) Use 2 decimal places. 2.30

A: Here we have to apply laplace transform.

Q: n=1 n²2n-1 (-5)n

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Q: For the function f(x)=x²-5, write Newton's formula as n+1 = F(x) solving f(x) = 0. Type in x_n for n…

A: The given function is: fx=-x2-5 And the given Newton's formula is: xn+1=Fxn=xn-fxnf'xn   As we know…

Q: Find the G.S. about xo = 0 for the following DE's 2. (1 + x²)y" + 10xy' + 20y = 0

A: answer is in next step. please give a like !!

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Q: ) = 400(5 + 2

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Q: At noon, ship A was 16 nautical miles due north of ship B. Ship A was sailing south at 16 knots…

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Q: Consider the following differential equation: y" + y = sinx - 2e and the following boundary…

A: The given differential equation is y''+y=sin x-2ex

Q: Answer true or false. If f is not piecewise continuous on [0, co>), then L{f(t)} will not exist.…

A: The given statement is

Q: 8. Consider the differential equation e* (y - x) dx + (1 + e*) dy = 0. (a) Show that this is an…

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Q: Find the derivative of the function at the given point in the direction of A. Options are: 1)…

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Q: Given x + y³ - 100y a.) Find all values of y that correspond to x = 7. Separate your answers by…

A: The equation is given by x+y3-100y=7                         ..........(1) To evaluate: (a) All…

Q: A solid right circular cone is made of brass. The mass of the cone is 5080 grams, to the nearest 10…

A: Formula to calculate :-Density=MassVolumeVolume of the cone=13πr2hwhere r=radius of the base of the…

Q: B) Use a known series to express ƒ(x) = e¯ as a Taylor series.

A: We need to use a known series to write the given function as a Taylor series.

Q: Evaluate the line integral [21r²yzds with respect to s along the 2 curve C : x = t₁ y = t², z =…

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Q: xydx + (x^2+y^2)dy = 0 TEST FOR HOMOGENEITY OF DEGREE N: Let: F(x,y) = M(x,y)DX + N(x,y)dy…

A: Please see the below picture  detailed solution.

Q: Evaluate the line integral along the curve C. S-Tabe − ydx + xdy, C: y² = 3x from (3,3) to (0,0) O O…

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Q: june 6 Screenshot (1689).png Screenshot (1683).png Show that the differential equation x²y³ + x(1 +…

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Q: f(x) = 2x^3 − 3x^2 − 18x − 8 Factor f(x) into linear factors. Don’t forget to include the leading…

A: Please see the below picture for detailed solution.

Q: The half-life of Radon-222 is 3.8 days. A 34-gram sample of Radon-222 is monitored for one day. How…

A: Please see the below picture for detailed solution.

Q: For the function f(x) = 3x2 −x3 − 4 where −3 ≤ x ≤ 3, complete the following. 12. State the values…

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Q: 14. The solution of the differential equation: (D - 2)³y = e²x is k a) y = (₁ + C₂x)e²x + xe²x b) y…

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Q: Find the divergence of F(x, y, z)= x î+y³ ₂² 7 +xz³ k. O1+3y²z²+3xz O1+3y²z²+3xz² 01+3y²₂² O 1

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Q: 3. Pedro walks at te speed of 40 meters/min from the school to home, by taking the longer route of…

A: Pedro walks at the speed of 40m/min from the school to home,by taking longer route of 100 m to the…

Q: Given the equation below, find dy dx = Y dy dx - 17x² + 7x68y + y ¹⁰ = - 9 dy Now, use to find the…

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Q: Match each of the following parametric Equations with a plane curve : x(t) = - 3t y(t) = 1 - 9t² TER…

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Q: The system x' = cos(t)x+ sin(t)y y' = cos(t)x - sin(t)y is linear.

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Q: If y = f(x), f'(x), (f(x+h)-f(x)) and slope of the tangent to the curve of f(x), h lim h→0 they all…

A: if y = f(x) Then,  By first principle of derivative

Q: For the function f(x)=ln(1−5x)​, find the Taylor polynomials of orders​ 0, 1,​ 2, and 3 generated by…

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Q: (cos x cos y cotx) dx - sin x sin y dy = 0 -

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Q: = Let f be a function defined for t≥ 0. Then the integral L{f(t)} . - fotº e- 0 provided that the…

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Q: Find the average rate of change of the function over the given interval. f(t) = 2t² - 5, [3, 3.1]…

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