= V16 – x², -2

Q: Evaluate the integral. Зп /4 6 sin (x) cos (x) dx Jn/2

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Q: Determine the dot product of the two vectors shown in the diagram. (3.5) 1. -5 4 -2 -11 23 4 5 -2+ (...

A: Dot product of the given vectors  

Q: What is the general form of an ellipse with foci at (0, ±2), and vertices at (0, ±4)7

A: Given query is to find the equation of the ellipse.

Q: Find dy / dx by implicit differentiation. xy + 5x + 5x2 = 2 dy / dx =

A: xy+5x+5x2=2

Q: Find the area of the surface obtained by rotating the curve y = sin(4x) about the a- axis from x 0 t...

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Q: Let ​h(x)=​f(g(x)), where f and g are differentiable on their domains. If ​g(−1​)=2 and g′​(−1​)=7​,...

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Q: For the quadratic function f(x)= 2x² – 24.x+90 (a) Complete the square to put the equation into a(x-...

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Q: If a linear function has the points (4,1) and (9,9) on its graph, what is the rate of change of the ...

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Q: Problem 7. (1 point) Let f(x) Then (fo g)(2) =, (fo g)(x) =|| = 2x + 4 and g(x) = 5x2 + 5x.

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Q: (a) Adjust the window settings or zoom until you have a good view of the important pa Sketch the gra...

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Q: dt 1. cos (2 sin 2r) V1-4r

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Q: A retailer anticipates selling 7,800 units of its product at a uniform rate over the next year. Each...

A: Given retailer anticipates selling 7800 units of its product at a uniform rate over the next year.  ...

Q: 0 -2 0 4 2 0.5 a 2 ,X= Y= 3 7 Let A= b 2 -1c and Z= Given that X + Y = Z, find- if 3 d possible-: (S...

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Q: Suppose a company's revenue function is given by R(q) = - q* + 340q² and its cost function is given ...

A: This question is related to price and cost functions, we will solve it using differentiation. 

Q: Find the derivative of the function. h(t) = 3 cot-(t) + 3 cot" h'(t) =

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Q: To solve the integral sin 60 v cos 60 d0, rewrite the integral as 2 sin 60 V cos 60 sin 60 d0. Use t...

A: Use, sin2(t) + cos2(t) = 1         sin2(t) = 1 - cos2(t)

Q: dy Assuming - 3x° + 6y + 3xy =0 defines y as a differentiable function of x, use the theorem dx Fx t...

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Q: y e 1. Evaluate lim x0 x* + y

A: Evaluate the limit of the function x2y/(x4+y2) when x and h tends to 0. 

Q: 10. Spending on pets. The total amount of spending on pets in dollars in the US per year and x years...

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Q: Consider the function f(r) (- 00, A, A, B), (B, C, and C, ox) where A, and C are the critical number...

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Q: Suppose you are headed toward a plateau 63m high. If the angle of elevation to the top of the platea...

A: Suppose you are headed toward a plateau 63m high. The angle of elevation to the top of the plateau i...

Q: Find a parametric equation for the line that is perpendicular to the graph of the equation 4x + y + ...

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Q: ) In this problem, you will find the area of the region bounded by the curves y = Vx, y = 2, and x =...

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Q: Functions f and g are defined by g(x) = V-x+4, x<4; xeR h(x) = 2e*, x20; xeR (a) Find the composite ...

A: g(x)=-x+4, x≤4h(x)=2ex, x≥0a)   (h∘g)(x)    =h(g(x))     =h(-x+4)     =2e-x+4 ⇒(h∘g)(x)=2e-x+4   Dom...

Q: Find the Taylor series for f(x) =-- centered at a = 2. (-1)"+1 (A) Σ (n + 1) (x – 2)" (B) 2 (-1)"+1,...

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Q: Let f(x) = (3 – a) f(1) has one critical value at A = For I < A, f(r) is Select an answer Select an ...

A: We have to find the critical point and monotonic intervals.

Q: 1_dx -1 1-x The integral is an improper integral.

A: We can find the integral as below

Q: 11. (a) y= (x³- 3) * (b) y= VT- 12. (a) Y (b) y = 0' sin 20 1+ 3u 13. (a) v lan y7 (b) y 1. 14. (a) ...

A: 11. a) y=x2-3-2    b) y=1-t412. a) y=1+2u1+3u        b) y=θ2 sin 2θ13. a) y=tant         b) y=1-v21+...

Q: f(x+h) = x^2+2xh+h^2-3x-3h compute and simplify. f(x+h)-f(x) =

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Q: Two force vectors act on an object and the dot product of the two vectors is 20. If both of the forc...

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Q: Evaluate the integral. (Use C for the constant of integration.) cos (a) da J Vsin(a)

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Q: 4. Find the derivative of f(x) =x' +1

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Q: A IImanulacturer belne ves thal the cost Tur „2 C(x) = -x² + 65x + 540 approximates the dollar cost ...

A: Given query is to find the number of unit that canbe produce to make profit.

Q: Need help on review please

A: Topic :- function

Q: Let f and g be functions that satisfy f′(2)=8 and g′(2)=7. Find h′(2) for each function h given belo...

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Q: Find the directions in which the function increases and decreases most rapidly at Po. Then find the ...

A: See the details solution in below

Q: 5. G4)= +3 こ G(4)= 11

A: G(y)=y2y+35

Q: et/2 f(t) attains its local or absolute minimum value(s). The minimum(s) are t =

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Q: 3x +1 at x = 1

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Q: Find all local extreme values of f(x) 6x2 16z + 60. The FIRST local extreme value, moving from left ...

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Q: Normalize the vector v = (1, 0, -1, 2, 6)

A: Given query is to normalise the vector.

Q: Use the Product Rule to compute the derivative: Find d/dt ((t^2+1)(t+9)) at t=5

A: To find  ddt[t2+1t+9]    at t = 5 Using Product Rule of Derivatives

Q: A manufacture has been selling 1200 television sets a week at $390 each. A market survey indicates t...

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Q: Use the difference an+1– an to show that the sequence - {n – 9n}+0 In=1 is strictly increasing or st...

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Q: Let both f(x) and g(x) be odd functions. If possible, determine whether each function must be even o...

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Q: 1 h(s) = (s – 10)2 Find the largest value of A such that the function h(s) is increasing for all s i...

A: Given:    h(s) = 1/ ( s - 10 )2   Increasing interval : ( - Inf , A )

Q: dx 2+ Vx-4

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Obtain Pole, zero, gain values of the transfer functions given below. Also verify your result theore...

A: We have to obtain the values of pole zeros and the gain of the given transfer function.   Note- As p...

Q: Sketch the curve r 0 in polar coordinates for : i. (0 <= 0) (-0 < < 0) ii.

A: Given: - The curve r=θ in polar coordinates for: To sketch: - (1)θ&lt;=0 (2) -∞&lt;θ&lt;∞

Q: "Theorem: If fThe mean value of a continuous function over the interval [a,b] is the number 1 m(f:a,...

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