10y" + y" - 7y' + 2y = 0

Q: Consider the indefinite integral 5 dæ 5+ et The most appropriate substitution to simplify this integ...

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Q: For the DE y = xy, y(0) = -1. Then, y(2) = Blank 1 Blank 1 Add your answer

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Q: dx 5). J I+x)*

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Q: or the DE y' = xy2, y(0) = -1. Then, y(2)=

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Q: In Exercises 23-25, find lim (h+3)- (3) 23. ()- х -3 24. (x)=- X-2 25. (x) = Jx+1

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Q: Let H(x)=0∫x√4−t^2 dt, for −2≤x≤2. a) Evaluate H(0) b) Evaluate H'(2) c) Use geometry to evaluate H(...

A: We need to find integral.

Q: y' + xe¥ = 0 %3D

A: solving differential equation by variable separation method  

Q: Example 1 A 1500 gallon tank initially contains 600 gallons of water with 5 Ibs of salt dissolved in...

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Q: dy If = 3x2 – 1, and if y= –1 when X=1, then Y= dx

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Q: Determine the equation of the curve for which the tangent line at every point has a slope of 25, x =...

A: Topic = Coordinate geometry Correct option = D

Q: 2x d tdt da

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Q: A curve, y=f(x) passes through the point (1, −1)(1, −1) and the slope of the tangent at any x is alw...

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Q: Use the first and second derivative to graph the following function. Label all critical points, infl...

A: Given that: y=4x3-4x2-8x

Q: (c) (2) The graph off is shown. (x) = 9. 12 18 24 6. Evaluate each integral by interpreting it in te...

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Q: If the substitution u=1+/x is made, then (1+/x)3/2 dx

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Q: dy xy + y, given that y = e, when x = dr What is the value of C if = 0. ANSWER: Blank 1

A: Given dydx=xy+y 

Q: S(x² – 2),Wxdx = 2 4 B 2 4 D

A: We have to solve the given integration.

Q: Plot these points: y 81 8 6. 6. 4. 144

A: solution

Q: Find the area of the parallelogram with vertices P,. P2, P3, P4 P, = (4,3,1), P2 = (4,2,2), P, - (1,...

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Q: Using the Laplace transform, resolve the following initial value problem:

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other que...

Q: (-3)" 3. 5.7..· (2n + 1) n=1

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Q: II. Use integration by trigonometric substitution. 4). S x³ (a² – x²)% dx

A: ∫un du =un+1n+1+C

Q: Estimate the area under the graph of f(x) 1 over the interval [ – 3, 1] x2 + 4 using eight approxima...

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Q: 8. S(x³ + 2x² +x – 5)e2* dx -

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Q: Y - (4z - y+ 1) = 0 y(0) = 2 %3D

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Q: Determine whether the following statements are true or false. If it is true, give a short justificat...

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Q: n/2 „sinx dx=? cos x esinx dx=?

A: Solution...

Q: Illustrating the Dimensions of a Box You want to make a box to be part of your designed gadget. You ...

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Q: =t°, y = t² 3. Set up an integral to find the surface area generated when the given curve x = where ...

A: Given:      x=t3, y=t2 Interval 0≤t≤1   Surface area generated about x-axis is           A=∫αβy(t)x'...

Q: A stone is thrown straight up from the edge of a roof, 625 feet above the ground, at a speed of 14 f...

A: To find out the height at 4 seconds.

Q: y = x, y = vx; about x = 3

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Q: 10 If f is a continuous function and F'(x)= f(x) for all x € R, then x)dx=? F10) – F(2)] B2[F(5) – F...

A: The objective of the question is determine the integral and choose the correct option.

Q: Example 1 A 1500 gallon tank initially contains 600 gallons of water with 5 Ibs of salt dissolved in...

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Q: Use the first estimate the six ferms s7 the binomial series to followang:

A: According to the binomial expansion :1+xn=1+nx+n(n-1)2!x2+n(n-1)(n-2)3!x3+n(n-1)(n-2)(n-3)4!x4+...∞w...

Q: (a) Use Newton's method with x, = 1 to find the root of the equation x3 - x = 5 correct to six decim...

A: The given question can be solved as shown in step 2.

Q: 5) Determine convergence or divergence using any method covered so far (up to section 10.5.) Justify...

A: Ok

Q: Using the Laplace transform, resolve the following initial value problem: y" + 4y = 0 with condition...

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Q: *7) y= Vx -1

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Q: Solve the differential equation: dy X- dx-y-Vx2 + y² = 0 ; y(v3) = 1 а. X? + 2у — С b. 2x? + 2y = 1 ...

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Q: Solve the differential equation: dz t2. dt 2+ 2tz – In|t| = 0 ; z(1) = 2 - In|t| a. z = 1 3 + t4 t t...

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Q: - $x² cos(x³) dx

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Q: e? If u= In x, then 1- (In x)2 dx=?

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Q: 4,0 1. List the open interval(s) on which f is concave upward. For credit your interval(s) must be a...

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Q: Use the Lagrange method to maximize ry subject to the constraint (2 + vi) = 2. i=1

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Q: dy The general solution of the DE cos?y is dx A y=tanx + C y=tan-(x) + C у-cos"(x) + с D y= sec?x + ...

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Q: A: Critical # min (l,=) max (l, ŹJ doc:(-00,-)u.9 inc:(-li1)

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Q: 2х dx =D x² + 2x+1 1 + C x+1 A arctan x+ 2 2ln|x+1|- +C (x+1)? + C C 2ln|x+1| + X+1 1 + C x+1 D -arc...

A: In this question, we need to find the integral of given expression.

Q: , π/4 tan 0 If u = sec 0, then de= sec Ө 2 du A B) ® JVudu du u/u

A: We have to integrate the given function 

Q: Evaluate the line integral rye dy where C has parametric equations y = t 2 = x =t 0st<1.

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Q: Consider the function f(x) = x(Va – 1), where a > 0, x > 0. (a) Tell if f is an indeterminate form i...

A: Solve both the following part as Below:-