150 5 -4 -2 100 50 -50 -100 -150 200! 2 4 6 8 Xx

Q: Please show me how to find the x value.

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Q: 4. Find the area bounded by the curve a²y = x³, the x - axis, and the line x = 2a. Solve in two…

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Q: A particle moves along the x-axis so that its position at time 0 ≤ t ≤ 18 is given b x(t), whose…

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Q: Find the average value fave of f(x) = x³ between -1 and 1, then find a number c in [-1,1] where f(c)…

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Q: 13. Find the intersection of [x, y, z]-[-8,-3,-5]+[1,2,-1] and [x, y, z]-[1.9.4]+s[2,1.7].

A: #13

Q: e) 9x³ + 6x² + 18x + 12

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Q: 3.2 Bus A leaves Worcester at 08:00 and travels north along the N1 at 50 km/h. Bus B leaves…

A: Given that The Bus A leaves at 8:00 with speed of 50 km/hand bus B leaves at 10:00 with 70 km/hSo,…

Q: Given r(t) = 9t² i + 18tj and t = 1, find the tangential and normal components of acceleration. ат…

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Q: You will construct a fenced in area along the side of a building. The pen will be in the shape of a…

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Q: 2. What is the average rate of change between x = 2 and x = 3 for the function g(x) = 4(x + 1)² -5…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the arc-length function s(t) for the line segment given by r(t) = (9 - 9t, 40t). s(t) = Write r…

A: Given :- r(t) = <9-9t, 40t> for arc length

Q: Let the position function of a particle be r = <t, t2,0〉. Find the tangential component of the…

A: Let the position function of a particle be r=t, t2, 0.To find the tangential component of the…

Q: Find the Domain and Range of the function (Have your answers in interval notation)

A: Question: Find the Domain and Range of the function (Have your answers in interval notation)

Q: (1) Find the derivative of the function f(x) = 2x³ - 12x² +4 and use it to find the critical numbers…

A: Solution is given below:

Q: Which if the following is a power series representation of the function f(x) a. Σ(-x - xn+¹) n=0 Ob.…

A: We have to find the power series representation for given function.

Q: 2x³y¹ = y(y² +. 3x²) Answer: y²(C-x) = x³

A: The given differential equation 2x3y'=yy2+3x2 The general Bernoulli differential equation is of the…

Q: Let f(x) = x³ + 3x² (a) Use the definition of a derivative or the derivative rules to find f'(x) =…

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

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Q: (4) (b) 10tsin(5t²- n/4)dt (4) (c) S 12(x³ + 2)ex¹+8x dx

A: We have to evaluate the integrals.

Q: 3. f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(2x)]. The table below…

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Q: Find the slope of the tangent line to the curve − 3x² – 1xy – 3y³ = at the point (-2, − 1). 11

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Q: dr Let A be the area of a circle with radius r. If dt = 4, find dA dt when r = 5.

A: Area of a Circle , A = πr2 ; where, 'r' is the radius of the circle .

Q: egrate the following by hand, shc 9 (a) 3 3 √x³ - 24+8) dx

A: We can solve this as follows:

Q: A y 10+ -10-8 -6-4 -2 8 9 2 2 7 6 8 -10- 2 45 8~9 10 X

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Q: Graph the equations and shade the area of the region between the curves. Determine its area by…

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Q: a. Find the linear approximating polynomial for the following function centered at the given point…

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Q: Find the tangential and normal components of acceleration. r(t) = (cos(4t), sin(4t), 3) ат an = II

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Q: h. Use the second derivative to identify intervals where f(x) is concave up. (-0,3) X i. Use the…

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Q: If 2x² + 3x + xy = 3 and y(3) = — 8, find y' (3) by implicit differentiatio

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Q: Use polar coordinates to evaluate the double integral. 1 1 + x² + y² where R is the sector in the…

A: Given data:- the double integral, ∫∫R11+x2+y2 dA R is the region y=0, y=x, and  x2+y2=4

Q: (i) Solve the following triangle. (You may need a calculator) C A 45° 105° N B

A: As per the guidelines, we must answer only one of the multiple questions given. Therefore, I answer…

Q: Find the following using the table below. X 1 2 3 4 2 f(x) 3 4 1 ƒ'(x) 2 1 4 3 g(x) 1 4 3 2 g'(x) 1…

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Q: 9. Method of undetermined coefficients y" -y = 3et ○ y = c₁e³ + c₂e²¹ + 1/{xe* -X y = ₁² + c₂e²x +…

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Q: Find the equation of the tangent line to the curve y = 4x cos x at the point (, - 4). The equation…

A: We can answer the question in the following steps.

Q: Use the graph of f (x): = Enter the exact answer. 1/1/00 below to find a number & such that |ƒ (x) -…

A: The objective is to find the value of delta.

Q: R If is in standard position and ≤0≤ and sin 2 O 5 O_3 3 3 9 then the value of tan is:

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Q: 1. A rectangle has a perimeter of 14 m. Express the area of the rectangle as a function of the…

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Q: 1. x²yy' = ey =

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Q: = 4) Use the recursion formula Stan" xdx to calculate Stan³xdx tan" X n-1 n-1 -ftan”-2 xdx

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Q: 19. 2x³y = y(y² + 3x²).

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Q: y-e-x4cos4x ស

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Q: (5) the tangout to y = √9+2x of Latex x = 4 passes through the orign a) Find a 67 for this value of…

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Q: 0 A = 2 -3 -1 B = -1 2 -2 −1 3 0 ³.0 - [ C 1 3 4 Use the above matrices to compute the following…

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Q: Suppose an investment of $9,000 is invested at an annual rate of 9.4%, compounded continuously. What…

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Q: Given f''(x) = 3x + 3 and f'(-3) Find f'(x)= and find f(2) 1 and f(-3) = 5.

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Q: Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of…

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Q: A function f(x) is said to have a removable discontinuity at x = a if: 1. f is either not defined or…

A: Here is the solution:

Q: 10 times as many as 1 hundred is_______ hundreds or ________ thousand

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Q: y 5 4 3 2 - 2 3 сл 1 2 В 5 6

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Q: (g) S 40t² 4t²+25 dt S du = u-atan ¹+C 4² u²+a² (be sure to list the parameters: a,b,u, du...etc)…

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