Find the vector parametrization r(t) of the line L that passes through the points (4, 1, 4) and (7, 6, 6). (Give your answer in the form (*, *, *). Express numbers in exact form. Use symbolic notation and fractions where needed.)

Q: Consider the following functions. f(x)=√√√36x², g(x) = x + 2 (a) Find (f + g)(x). (f + g)(x) = State…

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Q: Find a degree 3 polynomial having zeros -4, 3 and 5 and the coefficient of ³ equal 1. The polynomial…

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Q: Find a degree 3 polynomial having zeros -8, 4 and 7 and the coefficient of ³ equal 1. The polynomial…

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Q: 14. Find the absolute maximum and the minimum value on the given interval: b) y = x²(2lnx-3) on…

A: Since the student has posted multiple questions and does not mention any specific question and they…

Q: 5. A portion of the graph of a function f(x) is shown. 7 6 5 4 3 2 1 I 1 1 2 3 4 5 6 7 Find a value…

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Q: 3 L³ In a) the trapezoidal 1 In(t) dt, n = 10 rule X

A: As we know from the trapezoidal rule: ∫abftdt≈∆t2ft0+2ft1+2ft2+2ft3+...+2ftn-2+2ftn-1+ftn Where…

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Q: Find the derivative of ƒ(x) = x²e².5x ƒ'(x) =

A: Given: fx=x2e2.5x To find: f'x Required formulas:  Product rule: uv'=u'v+uv' Power rule: ddxxn=nxn-1…

Q: The position of a car as a function of time is given by the values in table t (seconds) 0 1 2 3 4 5…

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Q: Consider the function f(x) = x²e²ª. f(x) has two inflection points at x = C and x = D with C < D…

A: The function is given by fx = x2e7x To determine: The inflection points and concavity of the…

Q: Evaluating an Arithmetic Combination of Functions In Exercises 19-32, evaluate the indicated…

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Q: If z = 3x² + 2xy = 2y², x = 4u + v, and y = u5v, find the value of dz du (A) 34x-20y (B) 26x + 4y…

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Q: Find a vector of magnitude 3 in the direction of v=6i−8k. The vector is ________i, _______j,…

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Q: For the functions f and g, find the following. f(x) = 2x and g(x) = 3x² + 1 (a) (fog)(3) (b)…

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Q: b) A farmer wants to put a fence around a rectangular paddock which is part of his block (see…

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Q: Find the distance (d) between the planes -2x - 4y + 5z = 39 and -2x - 4y + 5z = 14. d =

A: Given;  -2x-4y+5z=39 -2x-4y+5z=14

Q: 5) f(x)=x²-2.5x² +.56

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: PART THREE: ab* + k ➤ In this part, you are going to explore the effect of parameter k to the…

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Q: Find the second-degree Taylor polynomial for f(x) = In (sec(x)) centered at π/4.

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Q: Find the point at which the line r(t) = (7, −7, 4) + t(−6, 6, −8) intersects the az plane.…

A: To find the point where the line intersects xz plane

Q: e* (x + 2) (x+3)² dx

A: To evaluate the following integral.∫exx+2x+32 dx

Q: The Starr Soccer Company makes 2 types of soccer balls. Let x represent the number of Megan Rapinoe…

A: Solving both subparts,

Q: Let f(x) =    x2 + 1 if x < 2 (x − 3)2 if x ≥ 2 . (a) Find the following limits. (If…

A: given   f(x)=x2+1      if x&lt;2(x-3)2    if x≥2for  x&lt;2,    f(x)=x2+1for  x≥2,  f(x)=(x-3)2

Q: Consider the following points. (−1, 5), (0, 0), (1, 1), (4, 52) (a) Write the augmented matrix that…

A: Least degree polynomial that passes through 4 points Px=a+bx+cx2+dx3

Q: Use the method for solving homogeneous equations to solve the following differential equation. 7(x²…

A: The given differential equation is;  7(x2+y2)dx+4xy dy=0.

Q: Suppose f'(9) = 5 and g'(9) = 4. Find h'(9) where h(x) = 4f(x) + 5g(x) + 9. h'(9) =

A: We have, f'9 = 5g'9 = 4 The function hx is hx = 4fx+5gx+9 To evaluate: The value of h'9.

Q: 1. For each function f(x), find the values of a such that f(x) is continuous (including continuous…

A: We are asked to find the limit of the function.

Q: 3. Find the volume of the solid that generated when the region enclosed by y = e-2x 0, x= 0 and x =…

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Q: 1) A student starts at the parking lot and goes for a nice leisurely jog along a straight path,…

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Q: Question 1 g(1)= Question 2 Appunti g(0)= Question 3 lim g(x) x→2+ =

A: NOTE: Refresh your page if you can't see any equations. . as we can see point (1,3) is on the graph…

Q: Find the volume of a parallelepiped if four of its eight vertices are ​ A(0,​0,0​), ​B(3,1,0),…

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Q: d. Does the relation define y as a function of x ? Explain.

A: A relation is function if every x has unique image in y.

Q: For the drug metabolism function f(x)=-x(x+2)(x-3), find the average rate of change of f(x) on the…

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Q: A producer and distributor of gift cards produces a boxes of cards per day at an average cost C'(x)…

A: given  C¯(x)=6x+100002x+400(a)  for produce 200 boxes put x=200

Q: 3. Find lim x-2 x - √5x + 6 x-6

A: The limit is given by limx→2x-5x+6x-6 To evaluate: The value of the limit.

Q: -6 (18 x x 4 + ²) bx² Y ។ 'F' 8.

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Q: Find the point at which the line meets the plane x=−3+5t, y=−2+2t, z=−1+6t​; x+y+z=−6 The point is…

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Q: Find the area bounded by the curve y = x2- 4 and x axis

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Q: Graph the function by hand, not by plotting points, but by starting with the graph of one of the…

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Q: Find the equation for the plane through the point P0=(3,2,6) and normal to the vector n=3i+3j+4k.…

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Q: 3. h(x) = 4. u(x) = x²-2 COS X x³+3 r-6 on on a. (-3,0] a. (-5,6) b. (0,00) b. [-6,7) c. [2,4] c.…

A: The given functions, 3. hx=x2-2cos x 4. ux=x3+3x-6. We have to check the continuity of the functions…

Q: Let F = 5(x + y) i + 2 sin(y) 7. Find the line integral of Faround the perimeter of the rectangle…

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Q: 10.) Sketch (1₁-2, 3) and (-131 31-1). Why do there vectors point in opposite directions?

A: Given that, the vectors are A = (1,-2,3)  and  B = (-13, 23, -1). Sketch:

Q: Differentiate:  Y = ln[sin(4x+2)]

A: Given: Y=ln[sin(4x+2)]

Q: The following table records some values of the functions f and g. X 0 1 2 3 4 5 f(x) 1 0310 21 36…

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Q: Given cost and price (demand) functions C(q) = 140q+46,900 and p(q) = 2q +840, what profit can the…

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Q: 1. The instantaneous velocity of an object moving along a horizontal line relative to a fixed point…

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Q: Find an equation of the line that satisfies the given conditions. (Let x be the independent variable…

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Q: Solve the following equation for x. Report answer to 3 sig figs Log10 (x+500.0) = 4.0

A: Given query is to find the value of x.

Q: Let us consider f(x)= с It is true that of and X A. There exists an interval where g is a B. The…

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