Find the surface area of revolution about the x-axis of y=7x+1 over the interval 1 ≤ x ≤ 3

Q: Give the r-coordinate of a point where: A. the derivative of the function is positive: a = B. the va...

A: * The derivative of the function at a point represents the slope of the tangent at that point. A.) T...

Q: Solve and check the linear equation. 25 - 3 2 Select the correct choice below and, if necessary, fil...

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Q: Find parameter a of the model by using the least square method. f(x) = x? $(x) = a * x Error(a) = "(...

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Q: The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), an...

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Q: Xa Xa O A. The statement is false. If lim f(x) = L and lim g(x) = L, then f(a) = g(a) if and only if...

A: In question C option c is true.  In question D option a is true. In question E option a is true     ...

Q: Select the best answer. cos( - 1) =

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Q: ider the given function and the given interval. f(x) = (x – 7)2, [6, 9] %3D (a) Find the average val...

A: We have to find the average value

Q: If s(t) = 4t3 – 6t² – 24t + 5, represent the position of a particle traveling along a horizontal lin...

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

Q: If y = e2 then y = e² Select one: O True O False

A: We will check if the problem statement is true. 

Q: In Exercises 5–10, find an equation for the tangent line to the curve at the given point. Then sketc...

A: Given query is to find the equation of the tangent at given point.

Q: Simplify. sin?e + sing csce cos?e tane 2 1

A: The given problem is solved below in detail.

Q: #11

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Q: 1 dx Evaluate: , V1-x2 1-x² O T/3 none of the choices O T/6 O T/2

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

Q: The position of the particle at time t is given by s(t) = t – 12t + 35. The particle is moving from ...

A: The position of the particle at time t is given by s(t)

Q: Differentiate: y = 2sinx/e O a. y' = (cos x- sin x)/e O b. y = (2e*cosx - 2e*sinx)/e2x O c. y (2e*si...

A: Please see the solution below.

Q: A ball is thrown downward with a speed of 11 ft/s from the top of a 121-foot-tall building. After t ...

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Q: 13 Given: cosa = and a is located in the fourth quadrant; find sin 2e. %3D -8/25 -24/25 -6/25

A: Trigonometry

Q: If s(t) = 4t3 - 6t2 - 24t + 5, represent the position of a particle traveling along a horizontal lin...

A: options (E) is correct.

Q: The first term in an arithmetic sequence is -27 and the common difference is 3.6, find the 13th and ...

A: (By our  policy we are allowed to do one question at a time . Kindly repost other problems in other ...

Q: Find the linearization L(x) of f(x) at x=a. f(x)=x/2x+9 a=0

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Q: 9. The difference of two numbers is 30. What two numbers will minimize the prod- uct?

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Q: goond L ) - 6

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Q: A rocket is fired vertically upward from the ground. The distance sin feet that the rocket travels f...

A: Formula: Let s(t) is displacement  Then, Velocity V= ds/dt Acceleration A=dV/dt

Q: Find the point where the graph of the vector equation r(t) = ⟨2 − 3t, −2 − t, 2 + t⟩ intersects the ...

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Q: 6.(Straightforward) Solve the separable ODES: (a) dy/dx = sin 2x. (b) dx + e* dy = 0. (c) xdy/dx = y...

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Q: 2. Consider the shaded region to the left of the y-axis bounded by the curves y = x2 – 1 and y = x2/...

A: 2) Here, the region is bounded above by the curve y=x22 and below by y=x2-1.

Q: 3. a) Use the trapezium rule with five ordinates to find an approximate value for S dx, giving your ...

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Q: Let f(x) = x- 2x- 9. a. Find the values of x for which the slope of the curve y = f(x) is 0. b. Find...

A: Topic:- derivatives

Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. X-7 f(x) = 9x -4 f'...

A:

Q: me

A: We will solve the integration using substitution. 

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 3t³ – 10t...

A: s(t)=3t3-10t(a)  v(t)=s'(t)=9t2-10       substitute t=1    v(1)=9(1)2-10          =9-10          =-1...

Q: and so on. The second differences in the table a) are non-zero b) are equal c) increase or decrease ...

A: We will find the second difference. 

Q: Consider the equation ze^(xy) + x^(2)yz + 2xy − z^2 − 5 = 0. Assuming that z = f(x, y),find ∂z∂x . S...

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Q: The formula for cos(a- B) is sin a sin B- cos a cos B cos a cos B + sin a sin B cos a cos B - sin a ...

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Q: Solve: y" + 6y' + 9y = cos(3x) 1. Find yc 2. Find yp 3. General Solution

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Q: Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)5 00 f(x) = Σ...

A: The given function,        fx=11+x5

Q: 4. At time t> 0, the position of a body moving along the horizontal s-axis is s(t) = t3 - 6t2 + 9t m...

A: We have to acceleration at the each time where velocity  is 0 And total distance from t=0 to t=2

Q: Find the point(s) where a tangent line to the curve y = f(x) = 4x has slope m,an = 8. The point(s) i...

A: The function y=f(x)=4x2 has slope mtan=8

Q: Solve the defferential y(x)

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Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

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

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 5t- 12t m...

A: Here, the given position function is: s(t)=5t3-12t Note that, the velocity is given by: dsdt And, th...

Q: A feasible region for a Linear Programming Problem is given below: 3 =-r+2 y = - 0. -1 Ar-3y 5 -2 -0...

A: topic - linear programming problem

Q: The position of a hummingbird flying along a straight line in t seconds is given by s (t) = 3t – 10t...

A:

Q: Differentiate: f(x) = 4x³ - (5/x²) %3D O a. f(x) = 12x2 - (10/x³) O b. f(x) = 12x2+ (10/x³) O c. f(x...

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Q: Solve the following equation; domain 0osx < 360°; 3 cot x + V3 = 0 O 120 240 60 300

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Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A: 1) y=π 2)f(x)=(x2+3)+(2x-5) 3)y=(x2-3x)10

Q: Find the point on the graph of y = (2x - 1)^3 + 6 where the normal line is vertical. Thanks

A: We have to find the point on the graph where normal line vertical

Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

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Q: A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels ...

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Q: The figure below shows a function g(x) and its tangent line at the point B=(1.6,8.6). If the point A...

A: NOTE: Refresh your page if you can't see any equations. . the function has a tangent line at point B...