f(x) = √√√x-4 8- 2x if x ≥ 4 if 4 > x

Q: Use the method of Lagrange multipliers to find the maximum and minimum values of the function…

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Q: y-tu n Fig. 2 a) lim f(x) b) lim f(x) c) lim f(x)

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Q: function of x and y sın (x²₂ + y²)+2x³=yz²+2, If z is a differentiable satisfying the equation find…

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Q: Find the derivative of the following functions. Whenever possible, 6. y = √3x - √x

A: Understanding of derivative of any function is required in order to solve this question. For…

Q: 3. Inverse trigonometric outcomes For this section, recall: du I Ja du -1 = sin-¹ ()+C, /du- -tan-¹…

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT PLEASE Derive the following functions 38. y=(x²-2x+5)(x²+2x+5)…

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Q: This question is to emphasize how our differentiation rules can be used even when it doesn't look…

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Q: K Suppose that lim f(x) = 13 and lim g(x) = - 10. Find the following limits. X-6 X-6 a. lim…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: We have to find derivative of given function.

Q: (6x+y²) dx + (2xy-3y²) dy =o

A: Topic: Differential Equation   The answer is given below:

Q: 5. [3] Determine the value of k when x³ + kx² + 2x -3 is divided by (x-1) and the remainder is 2.

A: Solve division method

Q: Let Am 40 -17] Find two different diagonal matrices D and the corresponding matrix S such that A =…

A: we can find eigen values and eigen vectors to find the solution.

Q: Select the following equations that are true. 01² +2² +3² +4² +...+100² = 5050² 1 1 0 1 1 + 101 1 0…

A: Given 1.  12+22+32+42+⋯+1002=50502 2.  111011101+123456-4-5-6=234467-3-5-5 3.…

Q: Consider the differential equation dy/dx = 5-y. (a) Either by inspection or by the concept that y =…

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Q: 1. Find the equation of the tangent line to the given curves at point of tangency, if given. 2. y =…

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Q: Find lim 818 3x² + 5x + 1 -x²+2

A: Given query is to find the limit.

Q: A tank initially holds 200 gal of brine solution containing 3 lb of salt. At t=0, another brine…

A: Let's solve given problem. Solve for time t = ?.

Q: Evaluate the indefinite integral S -10x² √1 1-x dx

A: To evaluate the integral

Q: 2 Find the exact area of the region bounded by the curves y = 4x² - 8x+12 and y=3x²-3x+12. Answer in…

A: The region is bounded by the curves y=4x2-8x+12 and y=3x2-3x+12 We have to area of the region…

Q: f(x)= 3x² 4 ln (x²)

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Q: Find the solution of the given DE. 6. y'+²y=-x³y³; y(-1)=2 .

A: y' +2xy=-x9y5

Q: I. Use Lagrange multipliers to find the minimum and maximum values of f(x, y) = x + the restriction…

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Q: Your salami manufacturing plant can order up to 1,000 pounds of pork and 2,400 pounds of beef per…

A: Concept: 1 pound of pork and 3 pounds of beef for each salami can order up to 1000 pounds…

Q: 12. If $5000 is deposited in a bank paying r% interest (r = interest rate), the amount 3 years later…

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Q: Let f(x,y) = 4√xy³²+ 4y + ex 1. Use local linear approximation to estimate. 4√ (0-1)(0-9)² + 4(0-9)…

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Q: Consider the following functions. f(x) = ²/₁ g(x) = 3x + 12 Find (fog)(x).

A: Given: f(x)=3x       gx=3x+12

Q: 3. f(t) = 3t - t², (0,0) 4. f(x) = 3-5x, (-1,8) 5. g(x)=x²-9, (2,-5)

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Q: Given f(x) = cotx 1 - csc x " then f'(x) = = 1 g(x) - 1 Find g(x).

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Q: 1. Find the derivative of each function. Use proper notation, and simplify your answ This includes…

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Q: he graphs of y = f(x) (solid) and y = g(x) (dashed) are shown. The two graphs intersect at ( Region…

A: Topic:- application of integration

Q: A mass on a spring bounces up and down in simple harmonic motion, modeled by the function s(t) = 8…

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Q: f(x) is graphed below. Find each value. 10+ 9 8 7- 10-9-8-7-6-5-4 f(x) = lim 2115 lim f(x) = lim…

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Q: [ t(2t2 + 2)-1/2dt (vx-2) dx . √x 6. [ V2x2 + 2 (4x)dx 4. 5. بیای

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Q: 4. Use the graph to calculate the limits. You may assume that one square represents one unit on the…

A: Given graph of a function f(x)

Q: Find the following limit. lim X-0.25 lim x--0.25 x+9 x+2 x+9 x+2

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Q: y=f(x) Fig. 2 a) lim f(x) X-4- d) lim f(x) x-3- b) lim f(x) X-4+ e) lim f(x) c) lim f(x) x→4 f) lim…

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Q: (x⁹ + x4)dx (x5 - 5)10

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Q: JL=28 KL=5x+6 JK=3x+6 Find KL

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Q: Find the limit as →∞ and →∞. Use this information, together with intercepts, to give a rough of the…

A: The given equation is y=x3(x+2)2(x-1) We have to find the x-intercept and y-intercept

Q: C. Find the right Riemann sum for the region bounded by the graph of f(x) = √x + 2 and the x-axis…

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Q: Find the x intercept F(x)=In(x-4)

A: F(x)=In(x-4)

Q: ) Given the piecewise defined function f(x) = {10x b) lim f(x) (10x-5,x<3 3x², x ≥ 3 c) lim f(x) a)…

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Q: Maximize f(x, y) = √11-x² - y², x + y - 2 = 0.

A: The given function to maximize is: f(x,y)=11-x2-y2 with the constraint g(x,y)=x+y-2=0...(1)

Q: 2x² +1 lim x2 3x-2

A: limx-&gt;a f(x)=f(a)

Q: A manufacturer produces bolts of a fabric with a fixed width. A quantity qq of this fabric (measured…

A: I am attaching image so that you understand each and every step.

Q: =t³ - t 24t+1. (a) Where is the particl and at what velocity is it moving when t = 1? (b) When will…

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Q: Question 1 | Let R(x) = x38x² + 12x X-2 A. Write R(x) in simplest form. C B. Sketch the graph of…

A: Given R(x)=x3-8x2+12xx-2

Q: A mass on a spring bounces up and down in simple harmonic motion, modeled by the function s(t) = 9…

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Q: Find f'(x)) D f(x) (2) f(x) 3x³ +5x²12-2 2 6x -3x + 2x12 2

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Q: Find the derivative of the following functions Whenever possible, express answer in factored form.…

A: Here we have to use the concept of derivatives