Find a particular solution y, of the differential equation: y" + 2y' + 5y = e* sin x

Q: A system is described by the DE n.p + r + 5 u = 10. d t? dt (a) For what values of the positive cons...

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Q: Let a = ci + jand b = 3i + 4j. Find c so that the angle between a and b is Round your answers to fou...

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Q: 1. What is true about the function f(x) = b* ? (Circle ALL that apply) c. f'(0) = Inb b + 1 b. x>0 d...

A: Find your answer below 

Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j. NOTE: Enter the ezact answe...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: Evaluate the definite integral by the limit definition. x dx

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Q: In Exercises 19-24, find the absolute maximum and minimum of the function subject to the given const...

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Q: Find the average value of the function over the given interval. (Round your answer to three decimal ...

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Q: Use the intermediate value theorem to determine whether the function f(x) = x° + 6x- 8 has a root or...

A: Now to get it is he hard part. You have to start with 1 and 1.5 as borders. If the root lies within ...

Q: The position vector r describes the path of an object moving in space. Position Vector Time r(t) = 3...

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Q: Evaluate the given integrals. 4. J(secx + tanх)? dx

A: Given problem:- ∫ (tan(x) +sec(x))2 dx   

Q: Let f(x) = /3r – 10. According to the definition, f'(r) = lim h0 (Enter the limit in reduced form)

A: f(x)=3x-10f'(x)=limh→0f(x+h)-f(x)h

Q: Consider the following equations. F(x) = Vx + 5 g(x) = x + 5 %3D Sketch the region bounded by the gr...

A: Graph of the curves÷

Q: 9. Given the functions /(x) = 2x + 5 and g(x) = x? – 4, find (4) x. b. C. d. 2x-5

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Consider the points A(3,-3, 3), B(4,-5,0), C(-3,-4, 0), and D(6, 2,-6). (a) Find the volume of the p...

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Q: 3. The diagram on the right shows an open box with a square base of side x cm and a height of h cm. ...

A: a)Area of the box (A)=x.x+2xh+2xhA=x2+4xh75=x2+4xh  [Since A=75 cm2]75-x2=4xhh=14x75-x2Volume of the...

Q: Q2 : Find d'y /dx? Y = xtan (=)

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Q: (6) Shipping fees (or shipping charges) are often based on a formula that offers a lower charge per ...

A: Find limit . 

Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 40 Cos 40 d0

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Q: B. dx (9-22)²

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Q: The legs of an isosceles right triangle increase in length at a rate of 2 m/s. a. At what rate is th...

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Q: Ax) = ,5-9,4+73 -5,2 -8x+1 is continuous on (-o, co) because fx) is a polynomia and polynomials are ...

A: The objective is to state true or false of the above question.

Q: continuity

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Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 50 cos 50 do

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Q: Jun has decided to save money roughly P25 per week. Suppose he makes weekly deposits of this money i...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: a)a→=-3 i + 8 jUnit vector as the same direction;u= a→a→ =(-3 i + 8 j)(-3)2+(8)2u=(-3 i + 8 j)73u=-3...

Q: 35. Tell if the following infinite series converges absolutely or 1* (-1)"? conditionally En=1 In n ...

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Q: x2sinx Q4 : Find dy /dx Y = (1+x2)2V1+x

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Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by par...

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

Q: : Give the following formulas ① Volume and surface area of a sphere (diameter = a)

A: We know volume and surface area of a sphere

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: 4 + 2y - 16) dy =

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Q: Consider the points A(1, –1,2), B(2, –3,0), C(-1, –2,0), and D(2, 1, –1). (a) Find the volume of the...

A: This is a problem related to vector calculation. Please find the procedure given below.

Q: Suppose a person with x years of eduction before seeking regular employment can expect to receive an...

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Q: (6w+12w") /w +w° dw

A: Given: I=∫6w-4+12w-7w-3+w-64dw So, we can also write as: I=∫6w-4+12w-7w-3+w-64dw=∫6w4+12w71w3+1w64dw...

Q: Find the nine roots of -256 - j256√3 Give it's exact and approximate value And graph the roots in an...

A: Given expression is: -256-j2563. We have to find nine roots of the expression. 

Q: If P (z) = tan (2) + in a first order linear ordinary differential equation + P(z) y=Q(z), the integ...

A: According to our guidelines we are supposed to answer only the first question if you want any partic...

Q: 3. у?dx + (x2+ 3ху + 4у?)dy %3D 0; when x —D 2, у %3D 1

A: Explanation of the answer is as follows

Q: DO NOT include spaces in between characters. * Find f' (-;) if f(x)= 3. Your answer

A: The objective is to find the derivative  of f at (-2/3).

Q: 3. Evaluate each definite integral by using geometric formulas. (a) 14.x – 12| dr dr (b)

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Q: Let f(r) = V7 2. Compute f'(3) using the limit definition %3D f'(3) 3D Find an equation of the tange...

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Q: Select ALL possible answers if there is more than one. * Below shows the graphs of the slopes of the...

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Q: {(-1)"nl° Зп — 1 {an}=1 00 n=1 8

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Q: Use the intermediate value theorem to determine whether the function f(x) =x + 6x-8 has a root or no...

A: Here, the given function is: f(x)=x3+6x-8 Now, f(1)=1+6-8=-1f(2)=8+12-8=12  

Q: Evaluate the definite integral. 9. 1 dx 25 + (x + 4)2

A: We have to integrate

Q: B - Find the equation of the curve whose slope at any point p(x.y) is m = x(x+5)?, and passing throu...

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Q: for power substitution method, next step is * For Sdz 16 – 5(u²)â + u² -(2udu) 4 – u? r6 – 5u² + u? ...

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

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Q: Find the volume V obtained by rotating the region bounded by the curves about the given axis T y = s...

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Q: Find the volume of the following solid. The tetrahedron bounded by the coordinate planes (x = 0, y= ...

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