Use the chain rule to find the derivative of 19 4(6z° + 8z*)® You do not need to expand out or multiply your answer.

Q: Solve 2logs(Vx)- log;(6x– 1)=0.

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Q: AND FUNCTIONS Finding a difference quotient for a linear or quadratic function s(x+h)-f(x) Find the…

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Q: f (x,y) = x^2y - 2x^2 -4y^2 +66. Find all critical points of f. For each critical point, determine…

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Q: The graph of f consists of line segments, as shown in the figure. Evaluate each definite Integral by…

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Q: Compute and find the exact sum of the following series. 4-5"-2 10. n=3 6"

A: Solving

Q: -X-29 8) x* - 4x - 5

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Q: Consider the graph of y = S(2) shown below in blue. Estimate the value of the derivative at z 1.…

A: The answer is in step 2.

Q: Use the initiator and generator shown to produce the next two stages and attach your answer.…

A: In order to proceed to next two stages we need to get the logic behind the initiator and generator.

Q: Jxcs. fxcos xdx 14 fxcos.xdx 16 2 18 |xcos xdx

A: On solving this we will get:-

Q: Sin 5

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Q: Find the centroid of the region cut from the first quadrant by the circle x +y =

A: Given x2 + y2 = 81 y=81-x2 Area of Quadrant(A) = πr24                              A  = 81π4

Q: A circular swimming pool has a diameter of 20 ft, the sides are 5 ft high, and the depth of the…

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Q: 25 Jr'sin xdx 27 (x'sin xdx 27 29 |x' sin xdx

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Q: Sonya and Isaac are in motorboats located at the center of a lake. At time t = 0, Sonya begins…

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Q: Find f. f"(x) = x-2, x> 0, f(1) = 0, f(6) = 0 f(x) =

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Q: Sketch the region whose area is given by the definite integral. 9. 5 dx y3 1 3 4 3 35 35 30 30 25 25…

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Q: A cylindrical kite frame is to be constructed from a 4 metre length of bendable  steel rod. The…

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Q: Do not use a calculator in this question. 3 V3 6+2v3 5- V3 p+qV3 6. find the CS CamScanner value of…

A: This question is based on similar parallelogram properties and rationalisation.

Q: solve the following system x-y-z=0                                           x-y=z=2…

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Q: f(x) = 3 log(x) f(x) = 3 log(x) 1 103 1 102 1 10 1 10 102 y y 4 40 60 80 100 20 40 60 80 -2 -4 -4 y…

A: Given query is to sketch the graph.

Q: Find the gradient of the function at the given point. w - x tan(y + z), (8, 5, –2) Vw(8, 5, –2) =

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Q: Find the limits as x → 00 and as x → -0o. (If the limit is infinite, enter 'oo' or '-o', as…

A: To find the limits as x→∞ and as x→-∞. If the limit is infinite,to enter '∞' or '-∞', as…

Q: Find slope of the tangent line to the graph f(x)=; at x = 0. 1+cosx

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the…

Q: b) Let f(x) = ax+b/x. Suppose that a and b are positive. What happens to f(x) as increases? Circle…

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Q: (4, 2) (-4, -1) (a) dx (b) (x) dx (c)

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Q: Determine the parametric equations of the path of a particle that travels the circle: (x-4)2 +…

A: We have to find the parametric equations.

Q: Which example in this section of the textbook shows that estimating limits numerically may not…

A: We have to estimate limits numerically may not always be accurate.

Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y2, (7, 4, 33)…

A: Given,  z=x2-y2, (7,4,33)

Q: V3 1) tan 3 cos¯1 –1 -1 2) cos-1 | 3) sin- 0 4) tan-' (-V3) 5) tan- 6) sin- 7) cos 2 8) tan- –1

A: tan-133

Q: The graph of f consists of line segments and a semicircle, as shown in the figure. Evaluate each…

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Q: 4. Find the indicated higher-order derivative of the given functions. d'y а. у %3D 8е* + sin x; dx7…

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Q: The following figure gives the graph of the derivative of a continuous function f that passes…

A: Graph of the derivative of function is given, we have to find the graph of f.

Q: Find the gradient vector field (F(x, y, z)) of f(z, y, z) = e®2z + $y + 2= F(1, y, z) =

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Q: The differential equation y" + 4y + 4y 0 has two solutions yı = e-2x and y2 = xe-2x. Which of the…

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Q: 3. Evaluate ry ds where C consists of: C: the line segment from (-3, 3) to (0,0), followed by C2 :…

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Q: Find the area under the given curve over the indicated interval. Q 14- y= 2x [1, 6] ... The area…

A: Given: y=2x, (1,6)

Q: j. For any 3 x 3 linear system AX = 0 if det A #0 Then Select one: the linear system is inconsistent…

A: Choose the correct option..

Q: 7. Prove that if A and B are any vectors, then the vectors BA + |A|B and B|A- JA|B are orthogonal.

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Q: For what values of K is the following integral improper? 5x dx x2 - 19x +90

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Q: The absolute minimum value of the function f(x) = –3 sinx on the interval [2, 8] is

A: To find the absolute minimum value of f(x), first we have to find the derivative of f(x) i.e. f'(x).…

Q: 3. Give a formula for a two-dimensional vector field with both of the following properties: All…

A: 3.Give a formula for a two dimensional vector field with both of the following properties:- Solution…

Q: 7. Without using technology, solve the equation: log(x + 10) – log(x – 5) = 2 8. A population of…

A: Please see the answer below.

Q: Test the series below for convergence using the Ratio Test. 57 n! n=1 The limit of the ratio test…

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Q: At a given moment, a plane passes directly above a radar station at an altitude of 6 miles and a…

A: Let's find.

Q: 10 4 -36 4) 10 -37 ,

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Q: A chemist needs 8 liters of a 25% acid solution. The solution is to be mixed from three solutions…

A: A)2 litres of 50% solution:2(0.5)+x(0.1)+(6-x)0.2=8(0.25)1+0.1x-0.2x+1.2=20.2=0.1xx=2 litres of 10%…

Q: Find all antiderivatives of the following function. f(x) = e - 10x

A: Solving antiderivativ

Q: [x² sin 3xdx

A: By Parts Method: ∫u(x)v(x)dx=u(x)∫v(x)dx-∫dudx∫v(x)dx ∫sin3xdx=-cos3x3∫cos3xdx=sin3x3

Q: Find the total area between y = 16 – x and the x-axis for 0 <x < 5. | Area

A: Please refer to the image below