Compute the following derivatives. Show in at least THREE steps how the chain rule or the outside- inside is used in solving for these derivatives. (a) tan-(esecx) dx (b) In(1 + vsin x)

Q: Consider the following function. f(t) = 4t + 5 Find its average rate of change over the interval [1,…

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Q: Given the following general solution 2(R + 1)(R + 3) A (a+ 1) - 5 (R – 1) A] x" = 0 R = 1 If we…

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Q: (d) Find the range of f(x). O (-3,4] O [-3,3] O [-3,1) U (1,4] O [-3,4] O (-3,2) U (2,4] O [-3,2) U…

A: From the given graph we can see that the value of f(x) are varying between -3 and 4.

Q: Flight of a Model Rocket The height (in feet) attained by a rocket t sec into flight is given by the…

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Q: Profit. Suppose the profit of a product is modelled by the function f(x) 2x3 – 30x2 + 96x + 3 The…

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Q: II.IDENTIFICATION. Identify the terms being described by the following statements. Choose your…

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Q: - Find the general solutions of the differential equations 6. x3 + 3y – xy' = 0 7. xy² + 3y² – x²y'…

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Q: B = 1 -2 -4 2 5. 14. If A = 3 and 1 -2 4 3 5 1 2 4 Find AB and BA. Show your solution.

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Q: CURRENT OBJECTIVE Apply L'Hospital's rule to find the limit of an indeterminate form produced by a…

A: The objective is to evaluate the limit.

Q: xe* хе dx. J (x + 1)2

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Q: 6. S (2x+3) dx (x2+3x-6)9

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Q: Find the angle 0 (where 0° < 0 < 180°) between the following vectors. Give your answer accurate to…

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Q: Evaluate y+z) ds along the curve r(t) = 2ti + tj + (4 – 2t)k, 0sts1.

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Q: 3. Rewrite the following equation for a circle in standard form, identify center and radius. a² + y?…

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Q: se the General Power Rule to find the derivative of the f y = 124x2 + 5

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Q: Let f be a twice differentiable function such that f(1) = 2 and f (3) 7. Which of the following must…

A: We have to choose correct option  Here using Lagrange mean value theorem

Q: Consider the following function. f(x) = -x2 - 10x – 9 Find its average rate of change over the…

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Q: Find the area enclosed by the curves f(x) = 32-x and g(x) =x. %3D %3D The area (rounded to two…

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Q: 2. Find the slope of the curve r = e® at the point with 0= t/2.

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Q: PidliLS aiiu I 3. Calculate Duf (0, –2,5) in the direction of v = -3i + 12j – 4k for the function f…

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Q: Cost Function. Suppose the cost to manufacture a product is given by f(x,y) = ey? The domain of…

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Q: Interest Formula. Suppose you work at a bank and the manager provides a new type of formula to…

A: Given, e(2ln(4)+4ln(2) Simplifying the above expression we have,

Q: F(x)=-2x2 - 2x - 2 find the absolute maximum value over the interval (0,6)

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Q: a + 5x + 4x2 if x < 3 f(x) = 2 + 5x + 3 if x 2 3 14x²

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Q: 1) Find the second derivative of y = csc 2 e cot 2e %3D

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Q: 30 If g(y) - (v- 11y + 18) lly + 18)*, find g'(y) = 30(v - 1ly+18) ) 29 (2y – 11)

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Q: For the function f(x) = 2x – 2x, evaluate and simplify. %3D f(x + h) - f(x) %3D

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Q: mutliple choice- I need help asap please!

A: a. limx→-4+f(x)    This limit means what is value of f(x) when we approach -4 from right(right…

Q: Flight of a Model Rocket The height (in feet) attained by a rocket t sec into flight is given by the…

A: The objectives to find when the rocket is raising and when the rocket is descending.

Q: Question A vertical cylinder is leaking water at a rate of 8 m³/sec. If the cylinder has a height of…

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Q: 2² + y° = 1 = 2' - y %3| = z + y? = 1 +E z = I +y ² + y² + z² = 1 = 2° + y? circular cone sphere…

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Q: plz

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Q: 4. y = Vesinx + 2

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Q: 4. S ( 12 x³ + 15 x - 20 ) dx 5. S 10 x2/5 dx 6. § 3 ³V x8 dx 7. S ( 8 + 2 dx x3 x4. 8. S ( 2x³ -…

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Q: An integral is given that can be evaluated using integration by parts. Write expressions for u, du,…

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Q: Business Decisions Sharon, the owner of the Brentwood Motel, is planning to renovate all the rooms…

A: Plan A: f(t)=3090000e0.02t⇒f(5)=3090000e0.02×5⇒f(5)≈$3,414,978

Q: Given P = (4, – 4) and Q = (3, – 4), find the components of PQ PQ =

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Q: 3. RK 2 %3D Write the equation in polar form: x + y = 225

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Q: Question If 0 < 0 < 2T and –12cos²0 – 8 = –17, determine the values of 0. If there are multiple…

A: The value of cos in the fourth quadrant is positive

Q: integral all of this and show your solution: 1.  ꭍx^(-2)dx 2.  ꭍ√(x^2 ) dx 3.ꭍdx/xlnx

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others…

Q: Cost Function. Suppose the cost to manufacture a product is given by f(x,y) = Vx+vy The domain of…

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Q: The marginal cost for a company to produce q items is given by MC(q) = 0.004g? - 0.5g + 620. The…

A: Given query is to find the cost at indicated production level.

Q: 1. Solve the following quadratic equation by completing the square: x2 – 6x +4 = 0

A: We are authorized to answer one question at a time , since you have not mentioned which question you…

Q: Interest Formula. Suppose you work at a bank and the manager provides a new type of formula to…

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Q: Flight of a Model Rocket The height (in feet) attained by a rocket t sec into flight is given by the…

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Q: Find the equation of the circle with center at (4. -1) and passing through the point (2. -2).

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Q: Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = - 2…

A: This is a problem related to function calculation. Based on the graph we can find out the interval…

Q: What is the average value of y =x*Vx +1 on the interval |0.2? 26 (A) 69 52 (B) 6. 26 3 (D) (E) 24…

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Q: 4 The line y= -Lx+3 has a perpendicu lar which fangent to the graph of y= (x²-2) (2x+k) at x=-l,…

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Q: f(x,y) %3D —4у3 — 4ху — 12у — 3х? - 5х- 21 then fyy equals O -6 -12y? - 4x – 12 — 4y — 6х — 5 - -24y…

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