Please help me with these questions! Please provide work as well a) How many arrangements of "MATHEMATICS" are possible when 'H' immediately follows one of the 'T's, but 'E' doesnt immediately follows H?

Q: defined on |-5,5) t) dt. is given. al notation: la, b). a (a, b) are four h intervals is f positive?...

A: We have to find the following conditions according to the given information

Q: Find the volume of the solid that results when the shaded region is 2 y = x revolved about the indic...

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Q: Evaluate the definite integral: r1 arctan x dx = x2 +1 0.

A: To solve the integral first I have make a substitution so that integral become easy and the solved i...

Q: Carmen is putting money into a savings account. She starts with $350 in the savings account, and eac...

A: Given: She starts with $350 in the savings account, and each week she adds $70    w = 19

Q: Problem 1. Recall that a function f is continuous at a point a € R if the following holds:

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Q: (a) Estimate the area under the graph of f(x) = 5 + 4x2 from x = -1 to x = 2 using three rectangles ...

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Q: Solve the IVP. y'= 3y(7-y), y(0) = 6

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Q: Consider the polar curve with equation r=1+2cos(θ):   (I) The slope of the tangent line to the curve...

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Q: An object moves with an acceleration vector: a(t) = - 3 Cos(t) i - 3 Sin(t) j + 2k If initially the...

A: Given,accelerating vector:  a(t)=-3costi-3sintj +3kStarting point: r(0)=(3,0,0)  initial velocity: v...

Q: the determinant of a 3 by 3 matrix A İs 5 and the determinant of another 3 by 3 matrix B is 10, then...

A: Given query is to find the value of determinant of A×B.

Q: 3 4 +- =2 x-1 у+2 Solve: 7 = -3 (x-1 у+2 6

A: Topic- algebric simplification

Q: 5) Let R(x, y) = 3x² + y². Find the minimum value of R on the hyperbola xy 2.

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Q: 3 1 2 3 -1 0 2 3.

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Q: Express the definite integral as a limit of Riemann sums 2 dx Cos

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Q: From his eye, which stands 1.61 meters above the ground, Jacob measures the angle of elevation to th...

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Q: Solve the following Compound Linear Inequalities. Please write: a) The solution set of the inequalit...

A: Solve the inequalities  3(x-2)+2<=x-8 and 4(x+1)+2>-2x+4  Write the solution  1) solution set ...

Q: 1 Find lim dt

A: The given data is: limx→∞1x∫1xdtt  To find the value of the limit.

Q: The acceleration function (in m/s2) and the initial velocity are given for a particle moving along a...

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Q: Absolute values 3) |x² – 10| < 6

A: We can find the answer as below

Q: Vx2-a²

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Q: Consider the differential equation: y' + 81y = -7 tan(9x), 0<x < T/18. a. Find the general solution ...

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Q: The process of finding the values corresponding the point inside the interval (xo, xn) is called O a...

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Q: 2x f (x,y) = Vx2- y²

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Q: Use the areas shown in the figure below to find the following. y = f(x) Area =0.8 Area =1.3 c d a Ar...

A: The given data is:   To find the value of: a∫abfxdxb∫bcfxdxc∫cdfxdxd∫adfxdx 

Q: 11. Write a polar equation of a conic with the focus at the origin given the following: Eccentricity...

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Q: Evaluate the indefinite integral: 4t cos (t ) dt = %3D

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Q: Some parametric equations of the tangent line to the curve r(t) = et i + (t2 - cost))j + sen(2t)k  a...

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Q: Use properties of the definite integral and appropriate formulas from geometry to evaluate the integ...

A: Ans= 2.0708 I have done solution in detail step by step....go through the solution

Q: Find the equation of the circle with the center at (-4,-5) and tangent to the line 2x + 7y – 10 = 0.

A: We will find the equation of circle. 

Q: Consider the integral x2 dæ, (x² + a²)³/2 where a is a positive real number.

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Q: Find a dot product to show that a = (3,4) and b= (-6,-8) are 11. in opposite directions or in same d...

A: If dot product of two vector is negative then vector is in opposite directions

Q: Determine the limit (In(12 - 1 x - 1 x² + 12 x³)-In(25 – 1 x - 4 x2 + 25 x³)) lim X- 00

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Q: S0, if m +n sin(næ) sin(mæ) dæ T, if m = n 2. Suppose we define a function f(x) by f(x) = a1 sin(x)+...

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Q: Given the differential equation (2r cosx – 1)r'=r?sin x, obtain the value of U = M dx A U=-r-sin x +...

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Q: 5 1 -3 -5 -6 -4 -2 2 4 6 8 10 12 Label X Vhat is the amplitude of this trigonometric function? What ...

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Q: Given =(9,-4), v=(6,7), w-10i+9j, and x=- 10i-5j, evaluate the following. 5. 7u-7v 4w + 3x 7. 5u-3w ...

A: We have to find the given vectors.

Q: . Solve the initial value problem. y' +y = e 12, y(0)= -1

A: We have to find out

Q: Question 1 Classify the given differential equation according to its type, order, degree, and linear...

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Q: top of the cliff C is observed from A to have a vertical angle of 24 degrees. The observer then move...

A: Given query is to find the height of the cliff.

Q: Solve the inequality: (3x – 2) < (5x – 12)

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Q: Find the Teylor expansion of 4(2): z" with center 1, where Nis a positive integer. Use the above to ...

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Q: 1) x3+x²y lim (x,y)→(-2,2) x²-y2 а. Evaluate the limit: 2хy? b. Show that the limit does not exist: ...

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Q: he population of Mathville is growing at a rate of r(t) people per year, where t represents the numb...

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Q: Solve the following. Round to the nearest tenth when needed. 1. A woman pulls a wagon along level si...

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Q: o ]x – 312 – 4|x – 3| = 12

A: When |x| = a  Then, x = a or x = - a  

Q: Consider the integral dx, (x² + a²)³/2 where a is a positive real number.

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Q: Evaluate the limut:

A: To evaluate the limit:limx→ 0ex-1-xx2

Q: H.w.L Findthe angie between the Plane X+y+z=t -and tle X-yplane- (2=0).

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