Use a second derivative test with a well written conclusion to find the inflections point of the following: distance using the seof(x) = √xe-*

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 9) = +2 3…

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Q: Find the area enclosed by the given curve and the y-axis x = t² - 5t y = √t 0 X

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Q: A water tank in the shape of an inverted circular cone has a base radius of 2 m and height of 3 m.…

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Q: lim (x,y)->(0,0) sin xy² 1² x² - xy lim (x,y)→(0,0) √x - √y

A: 1) Lim(x,y)-(0,0)Sinxy2/y2 2) Lim(x,y)-(0,0) (x2-xy)/(sqrt(x)-sqrt(y)).

Q: Give one example to illustrate that vectors satisfy the triangle inequality. Justify your answer

A: Vectors of Triangle Inequality : u+ v≤u + v

Q: (a) F(t)=(2 sint)i + (2 cost)j from the point A(2, 0) to the point B(-2, 0)

A: To find the arc length of given function

Q: S 3 cos³ (x) dx

A: To integrate the given function

Q: = SCADX (40x e**²-5) dx 1. S[(GN=51) 10 Jax = log2 (OXP²41) 6X 7- ² 105_ [ [10CC (1014 4X²-5 8. 5 e…

A: Note:  As per our guidelines we are restricted to solve more than 3 subparts of a problem.…

Q: 2700 360 * 31, cos 0 = 1/8, 311/2 <0 < 2 ४ 1% کے too (1) ³+ (8) ²

A: given  cos∅=183π2&lt;∅&lt;2π there for ∅ is in 4 quadrant in 4 quadrant sin∅ is negative and tan∅ is…

Q: Consider the system below. y = kx2 y' = k'x2 + 2xv y" = k"x2 + 4xv' + 2v Now, find y' and y"…

A: We need to find y' and y''

Q: Find the first partial derivatives of the function f(x, y) = ln (x + √√x² + y² 1. fx(3, 4) = 2.…

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Q: dx (6-x²)z 1.ſ. 3

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Q: 2. (a) Draw the graph of f(x) = = 2x x 0 (b) Find lim f(x) and lim f(x) or explain why they do not…

A: follow next step

Q: 6. Use differentials to approximate the volume of a spherical shell whose inner radius is 5 cm and…

A: Note: According to our expert guidelines only one individual question is to be answered kindly…

Q: Consider the following. 4 + e¹- 4x = 25 (a) Find the exact solution of the exponential equation in…

A: To solve the given exponential equation

Q: A non-native species of fish is introduced into a lake and is attacking a certain type of native…

A: Given Native: x(t) = −447.94t3 − 5250t2 + 44992t + 150000 Non-native: y(t) = −589.14t3 − 0.7t2 +…

Q: (2) Use the Limit Comparison Test to determine if the series is convergent. n² 1 n² + 2 ∞ n=3

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Q: 21-22 Find y' and y". 21. y = x² ln(2x)

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Q: Consider the solid obtained by rotating the region bounded by the given curves about the x-axis.…

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Q: Use a calculator to solve the following equation for on the interval (0, π). cot (0) =1/2

A: cot(θ)=12tan(θ)=1cot(θ)=2tan(θ)=2θ=tan-12θ=63.4349

Q: 6. Determine the domain and range of the vector valued fun r(t) = (In(t-2). √²) 1 t-4' fang

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Q: Consider two nonnegative numbers x and y where x + y = 14. What is the maximum value of 5x²y? Enter…

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Q: Consider x^6 +7xy^2 = 15065, find dy/dt when x = 5, y = -4 and dx/dt = 2 dy/dt = ?

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Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

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Q: 2. Obtain the general solution by the indicated technique: 2.2 y'=x-2ycot 2x linear equation of…

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Q: Problem 6. that the pattern of the first few terms continues. (a) { 1 1, Find a formula for the…

A: Given Sequence :- (a) 1,13,15,17,19,....... (b) 2,-43,89,-1627,3281,.....

Q: Find the intervals on which the graph of f is concave​ upward, the intervals on which the graph of f…

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Q: (d) Give one example to illustrate that vectors satisfy the triangle inequality. Justify your…

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Q: Find sin 2x, cos 2x, and tan 2x if sinx = - sin 2x cos2x tan 2x = 11 0 0 2 √13 and X terminates in…

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Q: Determine the type of conic section that each general equation will produce. a.)x²+y²+8-4y-2=0…

A: To determine the type of conic section.

Q: nd the value of f(e¹0). e¹⁰) e¹0) =_

A: We have to find the value of f(e^10)

Q: (a) A water container, whose circular cross section is 6 ft in diameter and whose height is 8 ft, is…

A: Given:    A = area of the tank a = area of bottom hole…

Q: Obtain the differential equation of the family of plane curve described and sketch at least 5…

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Q: Suppose a product's revenue function is given by R(q) 3q² + 200g. Find an expression for the…

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Q: Find the following using the table below. X 1 2 3 4 f(x) 13 2 4 f'(x) 1 3 4 2 g(x) 2 4 3 1 g'(x) 2 3…

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Q: Let s(t) = = v(t) a(t): = - 9t² +t- 2 be a position function. Find the velocity and acceleration…

A: To determine the velocity and acceleration functions.

Q: The Divergence Test for infinite series (also called the "n-th term test for divergence of a…

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Q: Crystal is running a picture-framing business. Refer to the given break-even chart for her business…

A: The Solution is given below:

Q: J.J. Sm 35.) a. cos 210° 36.) a. cos TC 6 DICUS DIJ b. cos 90° b. sin TU 3 C. COS SEU c. sin(-120°)…

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Q: Use Newton's method to find the slope of the tangent to the curve defined as y = -5x² + 2x-7

A: Let's say the point of contact of the curve and the tangent is at x = a. According to newton's…

Q: Directions: Show all your work neatly and in order. 1. Find the mass of the solid E bounded by the…

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Q: Calculate the double integral S fæ cos(2x + y) dA where R is the region: 0 ≤ x ≤ 7,0 ≤ y ≤ 4

A: The given integral is: ∫∫R x cos(2x+y) dA       where R is the region:  0≤x≤π6,   0≤y≤π4

Q: 33-41 Use logarithmic differentiation to find the derivative of the function. 33. y = (2x + 1)³(x² −…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: ʼn object is thrown vertically upward whose height is given by the function s(t) = − 16t² + 35 here t…

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Q: Please show your answer to at least 4 decimal places. Suppose that f(x, y) = xy. The directional…

A: To find the directional derivative of given function

Q: 4. 3 2 (D+D²_5D+3) y = 0

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(x) = f*…

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Q: Atmospheric pressure P in pounds per square inch is represented by the formula P = 14.7e-0.21x,…

A: Given P = 14.7e-0.21xwhere P = atmospheric pressure in pouds per square inch x = number of miles…

Q: 1. Determine the type of conic section that each general equation will produce. Show your solution.…

A: As per the rules, we are supposed to answer the first question and rest can be reposted.

Q: Calculate the gradient of f(x, y) = xy at (x, y) = ( − 1, - 2). Vf(-1, -2)

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