Evaluate the limit. lim X→-00 49x² - 1 x + 7

Q: (a) Estimate the area under the graph of f(x) = 1 + 2x² from x = -1 to x = 2 using three rectangles…

A: We have given that, the function is    , x = -1 to 2.(a) For n=3, we have the right Riemann sum…

Q: SS (3X-5) dA; R is R Eval & Reverse ? Triangular Region bounded b y=x+5 Y=-X+7 X=10

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Q: Extrema on a sphere Find the points on the sphere x² + y² + z² = 25 where f(x, y, z) = x + 2y + 3z…

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Q: Solve the following non-homogeneous differential equations: x" (t) + x(t) = 2 cost 1) -X 2) y"+2y+y…

A: The given differential equation is; x2y''-2xy'+2y=xlnx

Q: 94. Can you have a finite absolute maximum for y = ax²+bx+c over (-∞, ∞o)? Explain why or why not…

A: The quadratic function standard equation is

Q: Differentiate the following function to review unit two. a. b. C. d. 11 11 y = ²+1 4 - 3t² + 2 F(x)…

A: y=t2+1t4−3t2+2Take derivative.y′=ddt(t2+1t4−3t2+2)Use the quotient rule for the derivative:…

Q: Show the limit x³ y lim (x,y) →(0,0) x6 + y²

A: L=lim(x,y)→(0,0)x3yx6+y2

Q: 17. x1 - 3x2 + 2x3 - 4x4 = = 0 2x1 - 5x2 + 7x3 − 3x4 = 0

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Q: Find the indicated derivative. for y=x¹5 58 11

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Q: Differentiate the function. y = (In(1 + ex))? y' =

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Q: 2. Determine whether the series n Σ» (-1) (3) converges or diverges. If it converges, find the sum.

A: The given series is

Q: Show that the function is increasing on the given open interval. (Enter your answers as a…

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Q: 3 11 (1 + ³²) ² lim (1+

A: L=limx→∞(1+3x)x11

Q: Find the largest product the positive numbers x, y, and z can have if x+y+z² = 16.

A: x+y+z2=16Find the largest product of the positive numbers x, y and z.

Q: Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p…

A: Raggs, Ltd. a clothing​ firm, determines that in order to sell x​ suits,the price per suit must be…

Q: Labor. Refer to Table 4. (A) Find the average rate of change of weekly hours from 1980 to 1990.…

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Q: 2. 1 √49 - x² 后 dx

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Q: Evaluate the following limit. lim x³e -x² xxx = Note: Input DNE, infinity, and -infinity for does…

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Q: 2. a. C. Determine the critical number(s) for the following functions. f(x) = 17-6x + 12x²…

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Q: show x on left side Inverte COAS Isolate x. For answer, show X on 2 (x-3) - x ≤ 10x + 5

A: Solve tye given equation  for x

Q: Find the upper and lower sums for the region bounded by the graph of the function and the x-axis on…

A: To find the upper and lower sums for the region bounded by the graphof the function and the x-axis…

Q: Calculate the L4 approximation for f(x) = cos² x on TU I 4 2

A: The left Riemann sum∫abf(x)dx≈Δx(f(x0)+f(x1)+f(x2)+⋯+f(xn−2)+f(xn−1))Δx=b−an

Q: Question34 If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 50…

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Q: A chemical substance has a decay rate of 6.7% per day. The rate of change of an amount N of the…

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Q: List the first five terms of the sequence. an 1 + an a1 a2 аз a4 a5 || = = = a₁ = 6₁ an+1 =

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Q: Find f'(t) if f(t)= -2t² - 8t+7. f'(t) =

A: We need to find out the derivative of the given function.

Q: 2. Given the following tetrahedron, name the following: a. Vertices b. Edges c. Faces

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Q: Find the inflection points of thefunction f(x) = e(79-x²). INTERMEDIATE WORK f'(x) = f"(x) = On what…

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Q: Evaluate the following limit. lim x→0 3 (²2 x 3 sin(2))

A: L=limx→0(3x−3sin⁡(x))

Q: Use upper and lower sums to approximate the area of the region using the given number of…

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Q: Profit The profit P (in dollars) made by a cinema from selling & Bags of popc x² 28,000 3,300, 0≤x≤…

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Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing.…

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Q: (a) Find parametric equations for the line segment that joins the point P(-1,-4,-3) to the point Q…

A: Question no. 1(a):To find the parametric equations for the line segment that joins the point .Note:…

Q: H.W/ Maximize QuiZ 1/ 2= 80×1+ 60 X ₂ X₁ + X₂ 15 100. subj to: + X₂ 15 150 X₁ + 10X₂ If Boo الاحدا

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Q: 2) Find the solution of the given initial value problem in explicit form. Plot the graph of the…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table.…

A: Consider the function

Q: y = f(g(x)) 1 x + 19 y= U = u = g(x) y = f(u) y = u ¹/2

A: y=f(g(x))u=g(x)y=f(u)y=1x+19u=◻y=u−1/2

Q: Find the marginal cost function. C(x)=250 +3.5x-0.01x² c'(x) = [

A: we are given the cost function and we need to find out the marginal cost function.

Q: Use implicit differentiation to find dy/dx of tan(x+y)=2y

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Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

A: f(x)=x2+4

Q: 5 Determine the difference quotient for the function f(x) = 2x-1.

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Q: 47. Determine whether these statements are true or false. a. b. C. dx O True O False dx True O False…

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Q: SS (27y²-4x) dA (27y² - 4x) dA R: 0≤x≤3, 0≤y≤2 R

A: ∬R(27y2−4x)dAR:0≤x≤3,0≤y≤2

Q: Suppose that 3 J of work is needed to stretch a spring from its natural length of 34 cm to a length…

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Q: 3. Consider the curve which is the graph of the equation r³+y³ - 3xy = 0. Graph this curve using…

A: In this question, we will find the implicit derivative.

Q: Differentiate the function. f(x) = √√In x f'(x) =

A: Given

Q: Two sets A and B are defined as follows: A = {x, y, z); B = {1, 2, 3}. Ug Oh f range of g range of h…

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Q: 12 X 10 -1 2 3 f(x) 6 3 0 1 g(x) 3 -1 -3 2 f'(x) 5 -3 0 -2 g'(x) -2 2 0.5 The table above gives…

A: Given,  h(x)=f(g(x))

Q: ind the limit if it exists. lim (12x+11) elect the correct choice below and, if necessary, fill in…

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Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to…

A: The function is given byTo determine: The value of the second derivative of the function at point