Evaluate the sums. а. 4 k=1 7 b. -2k k=1 7 > k(2k + 1) с. k=1

Q: Pind the total area between y = x/3- x and the x- axis for -1 <xs8. %3D

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Q: Find the length of the arc of the curve having the parametric equations x = t³ and y = 2t? from t = ...

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Q: كلب البنات رامي العبيدي المنيك رامي العبيدي المنيك الخول رامي العبيدي كلب بنات تیليجرام رامي العبيدي...

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Q: Consider the following function and express the relationship between a small change in x and the cor...

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Q: sin2x de Evaluate:

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Q: Which of the following best describes the function below? (3x ifxs2 x if 2<x f (x) =

A: Checking limits:When x approaches to 2 from left side:=limx→2- f(x)=limx→2- 3x2=3(2)2 =12When x app...

Q: Find the most general antiderivative. dx x2 A 2- +C В с © -2.c (D 2

A: topic - anti derivative of  a function

Q: Find the area of the region bounded by the given curves. Decide whether to integrate with respect to...

A: Given query is to find the are of the region bounded by the curve.

Q: Determine the area of the trapezoid 8 ft 15.6 ft

A: Given query is to find the area of the trapezoid.

Q: Given the matrix and its eigenvalues 2 3 3 2 Find the eigenvalues for this matrix, then use them to ...

A: For finding eigenvalues of Matrix A , find A-λI =0.

Q: Evaluate: " sin" () cos* () .4 CoS 2, dx .2.

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Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = v3x – 5

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Q: dr Let A be the area of a circle with radius r. If dt dA when r = 3. dt 5, find

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Q: 700 find the following. For the demand function q = D(x) = - a) The elasticity b) The elasticity at ...

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Q: Let f(t) be the temperature at time t where you live and suppose that at time t = 1 you feel uncomfo...

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Q: Evaluate: S,(3y6 + 8y* – 9y2)dy 2

A: Given query is to find the value of the integral.

Q: Use the formula for the binomial series: (1 + x)" = 1+ тx + 2! m(m–1) + m(m-1).(m-k+1) „k 1.. + ... ...

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Q: Find the length of the arc of the curve having the parametric equations x = t³ and y = 2t2 from t = ...

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Q: 5. Determine the slope of the tangent at point (1,5) on the graph of f(x) = (9 – x²)} + 1.

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Q: A police car is located 60 feet to the side of a straight road. A red car is driving along the road ...

A: Solution: A police car is 60 feet to the side A red car 130 feet up the road  

Q: Consider the following function RX) - 9x - 7 Determine whether the function is even, odd, or neither...

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Q: Cansider the function. x) - 3x - 8 And the Inverse function of r. Slep 1 Let y- 3r-8, then solve or ...

A: The given function is; f(x)=3x-8.

Q: Find the arclength of y = 2x/2 on 1 < x < 3

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Q: Find the equation of the tangent line to the curve y = x² – 5 if the tangent lir is parallel to the ...

A: we know that if two lines are parallel then their slopes are equalGiven that the tangent line is par...

Q: The coefficient of sin'x in the antiderivative of F(x) = cs (use fraction form not decimal

A: This question can be solved using the concept of integration of trigonometric function.

Q: 13 Which of the following is true about f(x) = [x]? A. The function is continuous at x = 0. B. The f...

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Q: f (x, y) = xª – 2.x² + y² – 4y + 5. a) Use the second derivative test to find the critical points b)...

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Q: What is the amplitude and period of the function shown below? 5- 4- 3- 2- 1- -2 -1 -1 -3 2 3 4 6. -2...

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Q: Find the intervals of concavity and inflection points of the function. (Give your intervals of conca...

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Q: Find the scalar and vector projections of b onto a. a = (-1, 4, 8), b = (14, 1, 2) 6 scalar projecti...

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Q: rotated about the x- axis

A: Solution is here 

Q: Consider the initial value problem my" + cy' + ky = F(t), y(0) = 0, y'(0) = 0 modeling the motion of...

A: To solve the initial value problem.

Q: Stan"(w}sec°(w)ax u )کب + 27 + ه-)J ب)ا 20 - )J No appropriate Match au)کی - 207 - ه-)J du )قی + 27 ...

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Q: 5 (23 — 2) (2а? — аг)* dar

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Q: the plece wises f uc tion below Find fon the L,じ,ondL asxtO of sinx = (x7f ex-1 %3D *ンo

A: Given query is to find the limit of the function at x= 0.

Q: Sketch the region enclosed by y=4x and y= 4x^2. Find the area of the region

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Q: Evaluate: " sin' (;) 4 .2

A: Evaluate :     ∫0πsin7x2cos4x2dx

Q: -1 2. cos

A: 2.cos-1-12

Q: • Use the trapezoidal rule with n = 8 to approximate %3D cos(x) dx Keep at least 2 decimal places ac...

A: USE Trapezoidal rule with n=8 

Q: 3. For every 100 ticket buyers at a concert, the band expects to sell 27 T-shirts. a. If they have s...

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Q: 30% of a radioactive substance has decayed after 10years, what is its half-life? 15.9 years 16.7 yea...

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Q: equation of the swer in the form z = ax + by +c.) esgnal

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Q: Use A = P(1+ where: n A = the amortized amount (total loan/investment amount over the life of the lo...

A: Given query is to find the amount to get double.

Q: A street light is at the top of a 19 ft tall pole. A woman 6 ft tall walks away from the pole with a...

A: This question can be solved using the concept of rate of change of physical quantities.

Q: (2³ – 2) (2a² – x²)² dæ

A: We have to find value of given indefinite Integration.

Q: Given the matrix and its eigenvalues 3- 1-R 1 becomes has eigenvalues R = 1 + i -1 1-R Find the new ...

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Q: nt Use A = P(1+– where: n A = the amortized amount (total loan/investment amount over the life of th...

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Q: Suppose that f(x, y) and the region D is given by {(r, y) | 1 < # < 2,1 < y < 4}. D Then the double ...

A: ∫∫D f(x,y) dx dy = ∫y1y2∫x1x2 f(x,y) dx dy

Q: ) Let w = xe/z, where x =t², y = 1-t, and z = 1+ 2t. Use the chain rule to dz find . (Write your ans...

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Q: Benny is observing a rocket that is being launched from a distance 5 km. From his point of view, the...

A: Given, Distance from elevation to point of view is 5km Intial angle of elevation is θ. Change in ele...