Given the circumference of the base which is 67 ft. and its altitude of 10 ft., what is the volume of a cone?

Q: Find y as a function of t if 4y" + 13y' + 13y = 0, y(0) = 8, y(t) = y' (0) = 8. Note: This problem c...

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Q: Let G be a cyclic group with generator a, and let G' be a group isomorphic to G. If : G -+ G' is an ...

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Q: O which of the following series converges? (2h)! a) E Σ I- e c) E al) E 2+ Sinno n2 + Sinnt e) none ...

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Q: Find the degree of the polynomial function. f(x) = -4x + 7x5

A: Introduction: A polynomial's degree is the highest power of the variable in a polynomial expression....

Q: Very urgent,It need to be solved in one hour.

A: We know that , A series is convergent if it approaches to some limit otherwise divergent. That is , ...

Q: 1) 6x + 10x- 24x terms: degree: 2) 6x- 24 terms: v degree: 3)-7x - 24x² - 6x - 8 terms: v degree: 4)...

A: To find- Find the terms and degree of the given polynomial 6x5 + 10x3 - 24x 6x - 24 -7x4 - 24x2 - 6...

Q: A particular security's default risk premium is 4.20 percent. For all securities, the inflation risk...

A: The equilibrium rate of return (EROR) is calculated by the following formula.  EROR=DRP+IRP+RIR+LRP+...

Q: 4. Show that the sequence {fn}, where nx fn(x) = xER 1+n°x is point-wise convergent but is not unifo...

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Q: ix A = 2 1.

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Q: Find two power series solutions of the differential equation about the ordinary point r = 0: (x² + 1...

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Q: 3. Let Px and Pw be perpendicular projection matrices with C(Pw) CC(Px). Show that Px - Pw is a perp...

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Q: 18. If the equation of the surface is given, the normal unit vector can be determined by A. taking t...

A: Let's take the simplest coordinate system. It is known that, divergence in cartesian coordinate syst...

Q: ABCD is a rectangle. Answer th

A: Introduction: In geometry, a rectangle is a 2D shape with four sides and four corners. Its two sides...

Q: Ax) = x + 3r³ – 4x* + 4x° – 3x + 5 + 3x° 3 -

A: We have to use regula false method.

Q: State the order of the given ordinary differential equation. d³y dy 4 + y = 0 dx dx3 Determine wheth...

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Q: A store sels pasta boxes at the price shown in the picture below. 2 $1.90 What is the price of 6 box...

A: Given a store sells 2 pasta boxes at price of 1.90 doller. Now we have to find price of 6 boxes of p...

Q: is a mixed nu

A: Given, Mark rode his bike 22/8 miles. Represent it as a mixed number that shows the fraction of how ...

Q: What is the quotient when 4 -8i is divided by i3 A) 8+4i -8+4i 8-4i -8-4i

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Q: Find kernel and image of the linear map f (x, y, z) = (x – z,x + 2y – z, x – z). Also, find the null...

A: Given linear map is fx,y,z=x−z,x+2y−z,x−z. We have to find the Kernel and Image of the linear map. H...

Q: Define the following sets e and s as follows: e = {Devin, Elsa, Floyd}, s = {Software 1, Software 2,...

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Q: 1. Let the set A = {1,2, 3, 4, 6, 8, 12, 24) be partially ordered by the relation ab. Illustrate the...

A: As per our guidelines we are supposed to answer only first one. Kindly repost other parts in the nex...

Q: Solve the following differential equations : dy Vi-y? dx = tan y dy Ans. x cos y = C Ans. sin- y = s...

A: In this question, the concept of a differential equation is applied. Differential Equation A differe...

Q: Let A be a non-empty set of positive numbers, which is bounded above and let B = {x e R: 1/x e A}. %...

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Q: 10. This problem shows how a surge can be modeled with a difference of exponential decay functions. ...

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Q: If the sample space is C = C1UC2 and if P(C1) 0.62 and P(C2) = 0.55, find Q.2. P(C1NC2). %D

A: Given Sample space = C = C1∪C2  P(C1) = 0.62P(C2) = 0.55

Q: Solve the following IVP using Laplace transform

A: Given,           y''-4y'+9y=t                          ...(1)and             y(0)=0,   y'(0)=1      ...

Q: 7×7

A: Given,             7×7

Q: Find the maximum and minimum values of f(x, y) = 5x + y on the ellipse x² + 16y² =1 maximum value: m...

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Q: 2+ Sinno al) E

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Q: What is the problem? a) The PE teacher is ordering equipment for the next school year. There are 144...

A: Introduction: The unitary method is very important in arithmetic. This is the method where we find t...

Q: Dis - let g: 2Z, such That Disc Prove That. 960= 2X, e, But is not suek Discrete struar Discrete ctu...

A: Introduction: A function makes a relationship between its domain set and the range set. All the valu...

Q: 2. The costs of identical packs of sugar sold in different retail stores P18.50 P18.00 P20.25 P17.50...

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Q: The density of a plate is given as ρ (x, y) = x + 2y (g / cm2). Find the mass of the plate by calcul...

A: To calculate the given integral where the region is bounded below by line y=x, in first region and i...

Q: There are about 16 kilometers in 10 miles. About how many kilometers are in 5 miles

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Q: Solve the following  inverse trigonometric and hyperbolic complex numbers in their rectangular form....

A: Given inverse hyperbolic function is csch-1(-2.0807+4.5465i) We know the formula csch-1z=ln1z+1z2+1 ...

Q: Write -4 -3i in polar form A) 5 38.87° B) 5 <216.87° 51 323.13° D 51 <143.13°

A: The given problem is to convert the given complex expression in rectangular form to polar form. Give...

Q: Let ( A) D = and BD= . Find the angle between BD and A D* O [cos] 2/N(30(21)) O [cos] (-1) 2/(30(21...

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Q: Let f(x) and g(x) be functions. Prove, using contradiction method, that if f(g(x)) is one-to-one, th...

A: We have , f(x)  and g(x) are two functions.  We know the definition of one-to-one function, suppose ...

Q: (A) D = and BO- . Find the vector projection of A D onto 2A O-BO* O O O none of the above

A: option b is true ...explanation is attached below

Q: Jennifer spends an average of1 hours mowing one lawn. At this rate, how many hours will it take her ...

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Q: 3. x(y-x) y (y+x). Ans. 2-log xy = a dx

A: 3. To solve the given differential equation: x(y-x)dydx=y(y+x)

Q: Write an equation for the polynomial function whose graph is shown: -5 4-3 1 2 34 -2

A: Roots of a polynomial refer to the values of a variable for which the given polynomial is equal to z...

Q: e 3z -で dz (ez + e5z)2 I = 0,

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Q: what point will you be indifferent between your current location and the new location?

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Q: The fourth-degree polynomial f(x) = 230x 4 + 18x 3 + 9x 2 − 221x − 9 has two real zeros, one in [−1,...

A: The secant method is defined by the recurrence relation {\displaystyle x_{n}=x_{n-1}-f(x_{n-1}){\fr...

Q: (A) I = and (B )I = . Find 2A D - BD O O O none of the above

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Q: 4. Let S is the surface z = 5- - y, 1s z in R. Let S be oriented with the normal vector pointing upw...

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Q: メパーフメーCO x²-25 コメー 60

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Q: Ferentiation of the posit (1), and a(t) to any poi

A: From the graph, v(t)=dstdta(t)=dvtdt

Q: Identify the surface that corresponds to the equation 100y^2 - 25x^2- 4z^2 = 1.* O elliptic hyperbol...

A: The various types of quadric surfaces are: the ellipsoid, the hyperbolic paraboloid, the elliptic hy...