V. HIGHER DERIVATIVES AND CHAIN RULE 1. x = (1+t)² 2. y = x²(x – 1)³(2x – 5)² 3. f (x) = /1+ Vī – x 4. y = (ai – xi

Q: – ydx + (x + Vxy )dy = 0

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Q: 3. The vectors i and y are each vectors of length 3 units, i.e., = | = 3. If + = V17, determine – j....

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Q: ind the volume of the solid generated by revolving the region in the first quadrant bounded by the c...

A: Given problem:- Find the volume of the solid generated by revolving the region in the first quadrant...

Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros: 5-...

A: Find your answer below 

Q: (1+x*)dy + x(1+ 4y²)dx =0

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Q: Find all the critical points of f(x) = 4x³ – 3x. %3D V3 z = V3 x = 0

A: The given function f(x)=4x3-3x

Q: Each of the following definite integrals are improper. Determine which converge and which diverge. F...

A: We have to evaluate the improper integrals ∫0∞ 11+x2 dx ∫02 x4-x2 dx ∫1∞ ln(x)x dx

Q: .2 dy Find for y dx V6 – x5 - dy %3D dx

A: We have to find dydx

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Q: Find the domain of x/6x+25

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Q: Let lim f(x)= 11 and lim g(x)=9. Use the limit rules to find the following limit. X-9 lim [f(x)- g(x...

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Q: 2 – 100 Evaluate the integral: (A) Which trig substitution is correct for this integral? Oz= 100 sec...

A: Given: ∫6x2-100x4dx

Q: y' = x +6y

A: 1) Given y'=x+6y  

Q: The following function has an absolute maximum at [ Select ] and an absolute minimum at [ Select ] 6...

A: The given data is:  

Q: Determine the a) vertex, b) focus, c) directrix, d) axis of symmetry, and e) opening of the parabola...

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Q: Find all solutions of the equation 2 cos (x) – 1 = 0 on the interval [0, 27) The answer is A, B, C, ...

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Q: Find the intervals where f(x) = x* + 2x3 – 3x2 – 4x + 4 increases

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Q: Sketch the region of integration and change the order of integration. S* * 25 f(x, y)dydx S f (x, y)...

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Q: The polynomial of degree 5, P(x), has leading coefficient 1, has roots of multiplicity 2 at x=5 and ...

A: NOTE: Refresh your page if you can't see any equations. . x=0 with the multiplicity of 2 so the firs...

Q: The calculation of the numerical values of key variables is the only reason to build models. True F...

A: This is a basic calculus problem

Q: The base of a solid is the region in the first quadrant bounded by the curves below. 4y = 4 – x? x-a...

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Q: In two or more complete sentences, explain how to find the time it takes for a rocket following the ...

A: We will find the time taken by the rocket to hits the ground as shown below

Q: The polynomial of degree 4, P(x), has a root of multiplicity 2 at x=4 and roots of multiplicity 1 at...

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Q: x2 y2 Q1) Write the equation of the ellipse+ = 1 shifted 4 units to the left and 3 - 16 9. units up....

A: NOTE: Refresh your page if you can't see any equations. . the graph of the given ellipse shited lef...

Q: Find the exact value: sin 0 = where <0< T. Find: cos 20

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Q: A sequence a1, a2, a3,.... satisfies the property that an+1 is the average of the first n terms if n...

A: We have to find a2 . 

Q: The region bounded by f(r) la + 6x + 16, r = 0, and y =0 is rotated about the y-axis. Find the volum...

A: solution:-the region bounded byf(x)=-x2+6x+16, x=0 and y=0rotating about the y-axisusing cylindrical...

Q: 52-56 Find the limits as x → ∞ and as x → 0o. Use this infor- mation, together with intercepts, to g...

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Q: 1. lim f(x) = -1 and f(1)DNE 2. lim f(x) = 1 and f(0) = -3 3. lim f(x) = -2, x-2- 4. lim f(x) = +o, ...

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Q: A manufacturer is making a special voltage small electronic battery. The total cost, C, (in thousand...

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Q: O Convert the following integral to polar coordinates. Do not evaluate the integral. 1 V1-x² (x + y)...

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Q: 3. f(x,y)= In(x cos y)-cos (In3y)+

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min....

A: topic - application of derivatives

Q: #9 all

A: 1)Find the tangent of the curve y= 3+4x2-2x3 at x=a. 2) find the equation of tangent line at point (...

Q: CONSIDERING THE SYSTEM OF LINEAR EQUATIONS REPRESENTED BELOW, CHOOSE THE ALTERNATIVE THAT CONTAINS T...

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Q: Evaluate the following triple integral: 3 x x 6z dzdydx 0 0 y

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Q: (10x -) dx

A: We can find the integration as below.

Q: Find the stationary points and determine if each stationary point gives a local maximum or local min...

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Q: Use row operations to change the matrix to reduced form. 1 1 1 17 2 34 21

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Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its ...

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Q: Suppose f is a differentiable function of x and y, and g(r, s) = f(6r – s, s? – 4r). Use the table o...

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Q: PC World provided ratings for the top five small-office laser printers and five-corporate laser prin...

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Q: Prof Applications of Derivatives the given condition. 1. r 2 cos 30 at 0 = 4. Solution:

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Q: Find the angle between A = 10a + 2a and B = - 4a + 0. 5a¸ , using dot product. Answer:

A: As we know that, The expression for the angle between the two vectors is: θ=cos-1A→·B→A→B→ Given: A→...

Q: revolutions while the wheel is going 430 feet. Find the diameter of the wheel to the nearest whole n...

A: Given query is to find the diameter of the wheel.

Q: 3 The range of y = sin x is _______. -1 < x < 1 -1 < y < 1 y ≥ 0 y ≤ 0

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Q: Find the average of the function h (x) == 4x² – x + 5 on the interval [-2,3]. %3D Average=

A: Given query is to find the average value of the function for the interval [-2,3]

Q: Let R be the region between the spheres x2 +y² + z² = 4 and x2 + y? + z² = 16 and above the xy-plane...

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Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the oute...

A: Given :y=x9+5To find : (f(u),g(x)) , dydx and G'(u).  

Q: Differentiate the following functions. Use any applicable method unless otherwise specified. 5. m =...

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