A) Find the quantities for the following 12+3x 4 (x - 2) < 1x – 6) -3<-4<3

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Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential equa...

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Q: Select the correct equation for the following graph: 10- 5- -10 5- 10 5- -10- 2x-6 O f(x) 22 +x-2 f ...

A: find the equation for given graph

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A: topic - application of derivatives

Q: 9. Find dy/dx by implicit differentiation of y? = In(x), at (e36,6).

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Q: After an automobile is 1 year old, its rate of depreciation at any time is proportional to its value...

A: We will calculate the time, then we will calculate depreciation value.

Q: Find y" if y = x + (x + 2)³ when x = 1 О а. 28 O b. 16 О с. 9 O d. 18

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Q: An observer notices an airplane flying horizontally with a constant speed of 200 kph at an altitude ...

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Q: Given y = 3x2 and x = t2 - 1, find dy/dt for t = 1 %3D 1) 3 2) 6 3) 0 4) 12

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Q: QUESTION 1 Find Zx if z = In-

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Q: dy et y = (x³ – 18x)m(=). Find using the method of logarithmic dx - ifferentiation. Express your ans...

A: Topic:- derivatives

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Q: Match the following improper integral with the improper integral below in which you can compare usin...

A: Need to check the convergence by comparison test. Given The improper integrals are  A∫1∞1xdx, B∫1∞1x...

Q: 2 Determine the value of the series n(n + 2) 1.833 0.833 -2.167 2.833 The series is divergent.

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Q: Find the area of the surface obtained by rotating the curve y = about the x – axis from the point 1 ...

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Q: notation. If the interval of convergence is a finite set, enter your answer using set notation.) Nee...

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Q: A train moves at a velocity of v(t)= 3t" - 3200t km/sec where t in seconds is the time passed since ...

A: Find your answer below 

Q: Match each of the following expressions with an equivalent expression. (You can use each option once...

A: Basic identities of trigonometry are used.

Q: Find fxy(-1, 2) if f(x, y) = 3xy2 - 2y + 5x2y2 O 34 O -28 40 O-32

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Q: Suppose f (z, y) = , P= (-4,-3) and v =-2i + 4j %3D %3D A. Find the gradient of f. Vf = i+ j Note: Y...

A: As per our guidelines we can answer only 3 subparts of a question, kindly repost the remaining quest...

Q: Example 19: (a) Ifx +y = 25, find dy/dx.

A: We have to calculate dy/dx

Q: Find the general solution of the following Differenti 1. y(y2 + 1)dx + x(y² – 1)dy = 0

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Q: x +1 at (2,3) is x- 1 The equation of the tangent to the curve g(x) = 1) y = -2 2) y = 3x - 3 3) 2x ...

A: To find the tangent to the curve

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Q: Suppose an object in circular orbit stops in a position where sin(0) . The terminal point 11 is loca...

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Q: When you are using the Midpoint Rule with n =3 to approximate x*dx. a) ]: What is Ax? Ax= b). If one...

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Q: following

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Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential equa...

A: A differential equation M(x,y)dx+N(x,y)dy=0 is said to be exact iff ∂M∂y=∂N∂x

Q: Let x, Y be positive real numbers. If x2 – y² =1, then x or y (or both) is not an integer.

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Q: - Use integration by parts to show that if f has an inverse with continuous first derivative, then (...

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Q: 1. Find an equation of the tangent line to the graph of f (x) x+8 at (1/2, -17). x-1

A: The required equation of the tangent line to the graph is y = -36x + 1  

Q: N- My If- = R, where R is a function depending only on the quantity z = xy, then the differential eq...

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Q: 4. Find by implicit differentiation of x sin(y) = y cos (x) dx

A: The given problem is solved below in detail.

Q: Let V represent the volume of a cone with radius r cm and height h cm. Write an equation for V (in c...

A: Since you asked multiple questions, we will solve the first question for you. If you need any specif...

Q: Find all the values of x for which the given series converges. Use interval notation with exact valu...

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Q: 2. Find the general solution of the differential equation e-ty'- y = 2e-t+e".

A: Differential equations

Q: Determine the equation (both standard and general) of the following conic sections based on the cond...

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A: find the attributes of a graph

Q: VIn 2xe** cos (e**) dx Q5:A/ Find

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Q: Set up (Do not Solvel) the volume of the sold whose base is bounded by the graphs of yx+1 and y x?. ...

A: Given y=x-1y=x2-1The cross section are perpendicular to the x -axis are equalatral triangles a=x-1-x...

Q: Find two points where the curve x + 5xy + y = 23 crosses the x-axis. The tangents to the curve at th...

A: The given curve,     x2+5xy+y2=23

Q: Determine 2) if g) = csch (4x +3) %3D

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Q: -1 Evaluate: lim a. 00 O b. 1 O c. 0 d. - 00 QUESTION 3 Using differentials, if determine the approx...

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Q: The top of a 250 foot vertical tower is to be anchored by cables that make an angle with a measure o...

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Q: e the definition of error function, prove that %3D

A: Topic:- application of integration

Q: Determine if the following series converge or diverge. Make sure you state which test you use to mak...

A: To find the behaviour of the series we will use the following tests. a) For this series we will use ...

Q: find fsubxz if (x, y, z) = ye^x + x ln z

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Q: Find y' and simplify: y= cot(e Sin ) -esin t y' = 1+e2sin t sin t cos t y' = 1+e?sin t %3D sin t cos...

A: Topic:- derivatives 

Q: Give an example of a vector-valued function 7 (t) such that its unit tangent vector T(t) is defined ...

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