Use sigma notation to write the sum. 1 7 (2) + 7 (3) j = 1 1 7(1) + 1 7(10)

Q: find the length of the segment of the line y-3x=0 from the point (1,3) to the point (2,6)

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Q: An average young person in the United States gains weight at the rate of 16(x - 10)-1/2 pounds per…

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Q: Evaluate the limit or explain why it does not exist t t- 2-0 √4+t-√4-t x³+1 lim X-1 X+1 Ix-21 lim…

A: Given that some limit problem and we solve this given problem by using general property of limit.…

Q: Sketch the curve represented by the parametric equations Lindices Orientation of the curve), and…

A: Topic :- function

Q: Find the value of the derivative (if it exists) at the given extremum. (If an answer does not exist,…

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Q: Verify that has an Inverse function. Then use the function f and the given real number a to find…

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Q: Use the Second Fundamental Theorem of Calculus to find F"(x). F(x)= •Live+sa F(x)= x

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Q: By choosing the apprpriate points, solve the root of 3x3 - 4x2 - 3x - 2 = 0 using Secant Method.

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Q: 8. The following rational expressions are proper fractions except: x + 2x³-3x²+x-5 3x² - 4 C.…

A: A rational expression is said to be proper fraction when the degree of the numerator is less than…

Q: Step 3 Since the Mean Value Theorem is applicable, at least one point c exists in (0, 1) such that…

A: The objective of the question is determine the derivative and fill the boxes.

Q: Q5: a\State and prove the theorem of (continuity-differentiability), then find the value(s) of x…

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Q: 5. Evaluate f ²√3.r³ + 1dx JO

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Q: Evaluate the following expressions. 2) cos [2Aresin (-) + Aretan (1)

A: cos2sin-1-12+tan-134

Q: To evaluate the integral fx e²dx using integration by parts, the best choices for u and dv are: Oue,…

A: The objective of the question is choose the correct option for integration by parts.

Q: Refer to the model Q(t)=Qe -0.000121/ used for radiocarbon dating. At an archeological site,…

A: As per guidelines we must answer only one of the multiple questions given. So, I answer only the…

Q: Compute the general term an of the series with the given partial sum Sn. Sn = 2 − n + 2 2n, n ≥ 1…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: nsider the parametric equations below. x=²-2, y=t+1, -3 ≤t≤ 3 (a) Sketch the curve by using the…

A: Please see the below picture for detailed solution.

Q: A plane flies at a speed 560 km/hr at a constant height of 11 km. How rapidly is the angle of…

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Q: Consider the following graph. -10/ -5 As O None of these. 151 7.5 -7.51 -151, 10 X 1) Determine the…

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Q: f(x)=x²-2x - 15 =( =( ) (smaller x-value) ) (larger x-value) value of x such that f(x) = 0.

A: Topic:- algebra and derivatives

Q: To evaluate the integral fx e² dx using integration by parts, the best choices for u and dv are:…

A: To decide the u & v function

Q: B. By choosing the appropriate point/s, solve for the root using Bisection, Newton Raphson, and…

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Q: Find the general solution to the following separable differential equation: 7yy' = 3x. 03x² + 7y² =…

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Q: For the sequence, determine if the divergence test applies and either state that lim n→∞ an does not…

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Q: Using Laplace transform, solve for x(t) for the following system of linear ordinary differential…

A: Let's solve given diffrential equation by using laplace transform.

Q: nass function. a give Determine the value of c such that the function is a probability mass…

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Q: The total stopping distance T of a vehicle is shown below, where T is in feet and x is the speed in…

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Q: The temperature at time t hours is T(t) = -0.3t² + 4t + 50 (for 0 ≤ t ≤ 12). Find the average…

A: Topic-Average Value of a function over an interval

Q: At time t = 0, a bacterial culture weighs 4 grams. Three hours later, the culture weighs 5 grams.…

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Q: Find a formula for the sum of n terms. Use the formula to find the limit as n - (+ + -) (²) lim

A: We can evaluate the sum of n terms by using the following results.

Q: 1. Show the limit lim (r.y) ›(0,0) I 6 +y² does not exist

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Q: The price per share of a stock can be approximated by the function S(t)=t(29-3t) + 28, where t is…

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Q: The price of a certain ice cream cone is increasing at the rate of 18e0.05t cents per year, where t…

A: Solution of given question is written in below steps.

Q: and an equation in cylindrical coordinates for the equatic = 25x²+25y²-2

A: topic:- coordinate system

Q: For the function f(x) = 21² + 1, it is given that 3 f(x) dx = 21. At what value C does the function…

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Q: Provide your answer below: f'(8) = |

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Q: Find a polar equation for the curve represented by the Cartesian equation: x² = 8y. Or= 8 sin cos 0…

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Q: 1. Line L passes through point P(-2,5, 7) and having [4,-3, 2] as set of direction numbers. Find the…

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Q: Find the exact length of the curve. y = 5 + 2x³/2, 0≤x≤ 1 2.268 X

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Q: Use Lagrange multipliers to find the maximum value of f(x, y) = 6x + 6xy +y where x >0 and y>0…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) lim (e³ti+ sin(4t)j + e-6tk…

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Q: The second derivative has been found and already factored to be f"(x) = (3x) (x + 6). Use interval…

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Q: 5. Use elementary Maclaurin series to find Maclaurin series for the following functions. (a) e-1 8…

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Q: After t hours of work, a bank clerk can process checks at the rate of r(t) checks per hour for the…

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Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

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Q: 8). Determine whether the series ∞ e3/n n2   n=1 converges or diverges. The series converges.The…

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Q: Question 5 Solve the following for f(x)=x² - 2x + 1 at point (-2,-1) (i) ii) Find the slope of the…

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Q: Given f(x,y,z)=√(−6x+5y+2z), find fx(x,y,z) = fy(x,y,z) = fz(x,y,z)=

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Q: Hello! Can I get help answering question #2. Please show all work as well. Thanks.

A: Topic:- definite integration

Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

A: Given that : r(t) = cos(3t) i + 2sin(3t) j + k and t= π. Find the principal normal unit vector to…