16. (yety-1/y) dx + (xey + x/y²) dy = 0

Q: Question: 9 a)Use the second derivative test to determine whether the function has a local maximum…

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Q: For f(x)= x+1 and g(x)= find X a. (fog)(x); b. the domain of fog a. (fog)(x) = (Simplify your…

A: The given functions fx=xx+1 and gx=11x

Q: J (2) Ten thousand dollars is invested at 645 intrest Compound Continously. → when will the…

A: We can find the required time as below.

Q: 17. The function f(x) = x³ + bx² + c has a critical point at (-2, 6). Determine the value of b and…

A: Please follow the next step.

Q: a T c. 10 ml Convert the following (us

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Q: 3. 3 1 S (2x - 4y)dydx 1 -1

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Q: Evaluate: AT -dx B. 이집 는 d 를

A: Evaluate the integral ∫0πxsinx1+cos2xdx

Q: P 3. Evaluate the integral fx cos(3x²) dx as an infinite series. (You do not need to find the radius…

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Q: A cable is to be run from a power plant on one side of a river 900 meters wide to a factory on the…

A: pythagoras theorem = H2= B2 + S2 WHERE H= HYPOTENUSE B=BASE S =SIDE

Q: A particle moves along a straight line from the origin (O) with an initial velocity Va=6ft/sec and…

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Q: What is the distance between two points (3,-1) and (-2,-5). 3

A: Given that the two points (3,-1) and (-2,-5)  To find the distance between the two points.

Q: Total expenditures in a country (in billions of dollars) are increasing at a rate of f(x) =…

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Q: Use the first derivative test to find the location of all local extrema in the interval (0, 4) for…

A: The given function is f(x)=-5x+3 ln(x)

Q: 2. Find the equation of the line tangent to the circle x² + y² + 6x - 2y - 15 = 0 at the point…

A: Here the given circle is , x2+y2+6x-2y-15=0 We need to find the tangent to this circle at the point…

Q: (C) (In Mpg) for a certain vehicle can be approximated by m (x) = -0.03x +2.645x-35.029, where x is…

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Q: Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve…

A: Given that       y = ex, 1<=y<=7; y-axis

Q: xdx

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Q: Find axb, a vector orthogonal to both vectors a' and b. a = (-3, 2, 1) and =(4, -2,5)

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Q: Consider the given function, h(x) = 3x² - 15x+4. (a) State whether the graph of the parabola opens…

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Q: Use the half angle identity for sin² x. sin²(x) Hence, sin² x = ~ √₁² (₁²- V = π (1-sin²(x) 2 sin 2x…

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

Q: Find d7 dx> d7 dx7 -(46 In(x)). -(x6 In(x)) =

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Q: Evaluate the integral. Select the correct answer. 6 6 x In (19x) - 12/15 x + C none of these 16 x In…

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Q: Find parametric equations for the line formed by the intersection of planes x+y-z=3 and 3x-y+3z=5.

A: First we find a point on the intersection of these planes with the plane z=0. And next find the…

Q: In(t)dt

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Q: 1. What is the slope of the line whose equation is 5x + 7y - 3 = 0.

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Q: DA bacteria Culture that exhibts exponential double in size growth in 10 days. ㅋ Find the growth…

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Q: Given r(t)=cos(t)i+sin(t)j+2tk, find and completely simplify T(t) and N(t)

A: Here we will find T(t) and N(t),

Q: The after price tax on your new shiny car is $25,989.60. If a 4% sales tax was charged what was the…

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Q: Given the vector field F(x,y,z)= , find the divergence and the curl of F.

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Q: Evalute ff Rx²dA, where R is the region in the first quadrant bounded by the hyperbola xy = 16 and…

A: The given integral: ∫∫Rx2dAWhere R is the region in the first quadrant bounded by the hyperbola…

Q: Use the formula for continuous compounding to compute the balance in the account after 1, 5, and 20…

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Q: Find a bif a= (4, - 1,5) ar . b = (-3, 8, 5).

A: Here we will find whether given vectors are orthogonal or not,

Q: Do the first two terms of the Taylor series by hand where X_0 = 1

A: Given :∫1232xe-xdx

Q: y=-3 √9-y² |25−x − y’ dxdy=

A: The given double integral:∫y=-3y=3∫x=-9-y2x=9-y225-x2-y2dxdyWe need to evaluate the above integral.

Q: Use the Ratio Test to determine whether the series is convergent or divergent. Identify an 00 Since…

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Q: 5: Find the volume of the solid which is generated by rotating the region bounded by y=√x, y=x-2 and…

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Q: 414) Find the remaining sides of the right triangle if sin B = 8 12 16 20 a) b= b) b = c) O ○ d)…

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Q: Find the minimum rate of change of f(x, y) – y³e-² at the point (0. — 2).

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Q: As per the trigonometric substitution x = 4 sin 0, the following triangle is obtained. sin 0 = X x²…

A: In this question we are going to fill these blank up.

Q: As per the trigonometric substitution x = sin(0), the following triangle is obtained. cos(0) Submit…

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Q: Find a result by using exact for (sinxcosy)dx = -(cosxsiny)dy = 0 b. (x-6xy + y² + 10)dy = -(x² -…

A: I am attaching image so that you understand each and every step.

Q: Use the properties of the derivative to find the following. r(t) = ti + 4tj + t2k,   u(t) = 5ti +…

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Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R…

A: Here we have to find the volume.

Q: 2 Find the average rate of change of the function f(x) = x² + 7x from x₁ = 4 to x₂ = 5. The average…

A: Use average rate formula

Q: Use the difference anti-an to show that the given sequence {a} is strictly increasing or strictly…

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Q: If f(x) = 1/√x, use the definition of the derivative to find f'.   You must show ALL of your work…

A: The given problem is solved below in detail.

Q: Given r(t)=t2i+5tj, find and completely simplify T(t) and N (t)

A: I am attaching image so that you understand each and every step.

Q: (The vectors A=i-j,B=j-k, and C = 3i-k, find triple dot (AXC). B

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Given that the graph of f passes through the point (1, -5) and that the slope of its tangent line at…

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Q: h'(x) = cosxcot(sin^3x)+cosxsinx ⠀ h(x) = sin(x) -2 (cos(t³) + t)dt

A: Applying Leibniz's rule