dy (x+2)² x² - 4 2y dx'x -4

Q: F = 2 i +x j – k

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Q: 3-8 Use the Chain Rule to find dz/dt or dw/dt. 3. z = xy – x'y, x=t + 1, y =t - 1

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A: Note: If f(x) is anti- derivative of h(x) then  f'(x)=h(x) . Just use this definition and find that ...

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A: It is an opinion.

Q: e a) y"+ by 19y x² + 1

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Q: Please help! Find y^’’ by implicit differentiation. a) 5x^2+y^2=4 b) 5x^3+4y^3=1 c) x^2+7y^2=7

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A: Given initial temperature of the coffee cup is 120 F

Q: (Don't forget to include the constant of da x + 3 antidifferentiation C) Evaluate

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Q: Use implicit differentiation to find the derivative of: 9. х2 +x Arctany %3D у + 4 (2x+Arctany)(1+y²...

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Q: From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an...

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Q: 4. y² +2xy = x+y

A: We know that; The Power law: ddxxn=nxn-1 The Product rule: f·g'=f'·g+f·g' The Quotient rule: fg'=f'·...

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A: The second derivative test : Let f(x) be the given function and she be the critical point of f. If ...

Q: Differentiate y = (x² + 7x – 1)(5x + 2) а. 20х3 + 6x2 +70х + 9 b. 12x3 – 4x2 + 70x + 9 с. 10х3 + 6x2...

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Q: If 0° < 0S 360°, find all the angle measures of 0 that makes sec 0 = -V2 and Ssc e = V2.

A: Given,           secθ=-2 and cscθ=2To find : The measures of all angle, θ.

Q: Limit that nate ASSESS WHAT HAVE YOU LEARNED to Bvaluate the following limits by constructing their ...

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Q: y = V(4x + 3)³

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Q: E. Show that the function e sin y equation satisfies Laplace's a²z a²z 0.

A: E) z=exSiny.

Q: Find the derivatives of the following Trigonometric Functions and Inverse Trigonometric Functions:

A: y = ex sin-1xdydx = ex ddx(sin-1x) + sin-1x ddx(ex)        = ex 11-x2 + ex sin-1x 

Q: Sketch the graph of the function g for which g(0) = g(2) = g(4) = 0 g'(1) = g'(3) = 0, gʻ(0) = g'(4)...

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Q: When you evaluate: dx The sum of the coefficient of - for any constant n is A None of the given choi...

A: This is a basic integration problem

Q: (0, 1) (0,0) (1,0) FIGURE 0.1. The triangle T of the problem. Consider the triangle T with vertices ...

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Q: Suppose f (x, y, z) =D 를+끝, P= (1,2,4). A. Find the gradient of f. Vf * i+ j+ k Note: Your answers s...

A: Given :f(x,y,z)=xy+yz, P=(1,2,4)To find :  The gradient of f and the maximum rate of change of fat t...

Q: Use the Integral Test to determine whether the infinite series is convergent. n2 (n³ + 4) 3 n=11 To ...

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Q: (0, 1) (0,0) (1,0) FIGURE 0.1. The triangle T of the problem. Consider the triangle T with vertices ...

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Q: 3 2- 1 1 2 3 4 -1- -2- Graph of f graph of the function f is shown abo LO

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Q: Calculate SN given by Simpson's Rule for the value of N = 6. dx x4 + 3 (Round your answer to five de...

A: To evaluate ∫36dxx4+3 using Simpson's Rule for the value N=6 Simpson's rule formula is: ∫abf(x) dx≈S...

Q: Given c= -1 and the graph of the function f below, use the graph to find lim f (x). Z-et Y 4 3 2 -2 ...

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Q: A type of sugar in the blood, also known as glucose, which is one of the major sources of energy, is...

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Q: The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of...

A: Let the length of the rectangle be:  l  cm Let the width of the rectangle be:  w  cm

Q: dy 2y + .2 x´ - 4 (x+2)² x² – 4 dx

A: Given:dydx+2yx2-4=(x+2)2x2-4  

Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consi...

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Q: Use the Integral Test to determine whether the infinite series is convergent. -n² 16ne n=4 Fill in t...

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Q: Consider the equation below. x2 - y? +2 - 2x + 2y + 4z + 1 =0 Reduce the equation to one of the stan...

A: Given equation is      x2-y2+z2-2x+2y+4z+1=0

Q: D. Tell if the function is continuous at given interval. 31-35 f(x) = ; 2.x +4 [-2,2]

A: Given, f(x)=x2/(2x+4)

Q: 18. Sketch a graph of a function that satisfies the following conditions • The domain of f(x) is [–5...

A: We draw the graph step by step . For the graph we use different colours which represents the various...

Q: 4. At Grande Anse Beach the height of the water in metres is O onainTEbigoT modelled by the function...

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Q: Find the intervals where the function y=f(x)y=f(x), whose graph is given below, is increasing and wh...

A: from the given graph

Q: y' – 5y = x²e* – xe5x |

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: 2x

A: To evaluate: ∫ln e2x dx Now, note that ln e2x=2xln e=2x(1)=2x

Q: A(t) 8+ 6+ 4- 2- 10 15 20 25 30 The rate at which ants arrive at a picnic is modeled by the function...

A: Given query is to find number of ants in the given interval.

Q: sin4 Ce3x)

A: Solve by integration

Q: Solve for the value of "C" on the given differential equation below. Let y(1)=1 10 (x + y) dx - xdy ...

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Q: Determine which of the following are ordinary differential equations and which are partial different...

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Q: Find the exact value of the sine of an angle 0 in standard position if the point (13,-84) is on its ...

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