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Q: State the trigonometric substitution you would use to find the indefinite integral. Do not…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Differentiate f(x) = f'(x) = 5-x+1 x³ + 27 +5.

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Q: For the sequence defined by: a₁ = 4 an+1= Find: 42 = 43 = a4 = 1 an - 4

A: The objective of the question is to find the values of a2, a3, and a4 in the given sequence. The…

Q: 8 4x³ 5 8C dx

A: The given integral

Q: 2. Find the area bounded by the given regions. (Round to two decimal places) a) y =lnx and y=x²-4x+3…

A: a) Area 2.93 square unitsb) Area 36.00 square unitsExplanation:Find the Area Between the Curvesa)…

Q: Let E be the solid region in the first octant that lies inside sphere x 2 + y 2 + (z − 1) 2 = 1. The…

A: The objective of the question is to describe the solid region E in cylindrical and spherical…

Q: At YasterMart, people are willing to buy a pounds of chocolate candy per day at $p dollars b per…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Question 18: Using c = 0 as the centre, show that for all z € R, 2n+1 sin(x) = Σ(-1)" (2n + 1)! n=0…

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Q: Let à = (-5, - 2, 4) and b = (-1,5, 3). Find a x b. (Enter your answer as a vector of the form .)…

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Q: 2 7₁ x = -(y-2) ² X (a) Make a graph. Use at least 5 points. 6 Report domain and range. (Isolate y.)…

A: y01234

Q: Solve cos(8) decimal places. 0 0.2 for solutions on the interval 0 ≤ 0 < 2. Write your answer(s) in…

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Q: Consider the following. y = 2x³/2+6 y 50 40 30 20 10 2 4 8 X Find the arc length of the graph of the…

A: Consider the following.To find the arc length of the graph of the function over the indicated…

Q: Question 16: Using linearisation, approximate sin() to 3 decimal places.

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Q: Complete the given relative frequency distribution. Outcome 1 Rel. Frequency 0.1 2 Compute the…

A: The objective of this question is to calculate the relative frequencies for different outcomes and…

Q: a) How many feet did you walk in 8 minutes? b) Where, relative to your starting location, are you…

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Q: Consider regular pentagons with side length  s , area  a , and perimeter  p . Suppose  f ,  g ,  h ,…

A: The objective of the question is to find the area of a regular pentagon whose perimeter is 148 cm…

Q: Compute the length of the curv L= ¹rve r(t) = (2t, ln t, t²) over the interval 1 ≤ t ≤ 2 =

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Q: Consider the following. sin(20) 2 - 3 sin(0) Use the substitution u = sin(0) to rewrite the given…

A: The given integral

Q: Solve the integral by u-sub 4/3-e^x dx

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Q: Determine the equation of the tangent to the curve y= (2x^2-3)(x+1)^2 at the point where x=1 Thank…

A: The equation of the tangent line to a function y= f(x) at (a,b) is given byy - b = f'(a)(x - a)

Q: Marginal Revenue for Gaming Mice The quantity of Sensitech laser gaming mice demanded each month is…

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Q: Find a possible equation for the linear function g(x, y) shown in the graph below: -3 3. Ч В 1.0 -1…

A: We have to find a possible equation for the linear function g(x,y) and the given graph is:

Q: What curve do the parametric equations trace out? Find the equation for the curve. x = y = 12 + cos…

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Q: nd the area of the region enclosed by the curve y = x² +2, the x-axis and the lines x = 0 dx=1.…

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Q: Construct a Sign Chart for the following polynomial function and state the intervals where this…

A: F(x)=-2(3-2x)(x-3)^2(x^2+1)

Q: Determine the line of intersection of the two planes: x+y-z-2=0 and 2x-y+3z-1=0. Write the…

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Q: 29. I must get from A to B across a rectangular manmade pond. The pond is 4 km in width, and 12 km…

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Q: a. f f(x)dx fo g(x)dx b. f f (x) dx * g(x)dx

A: We have to prove that part (a) and part (b) are not equal.Given f(x) = 4 and g(x) = 3.

Q: Consider the function f whose graph is shown below. This function is given by f(0,0) Find its limit…

A: Given: To Find: (a) To find a formula for the single variable function .To find  for this…

Q: a. f²f² (x) dx 2 b. (f/²f(x)dx)²

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Q: Find a vector function that represents the curve of intersection of the paraboloid z = 3x² + 2y² and…

A: To find a vector functionwheny=4x2z=3x2+2y2

Q: a.Ek=1[k2 – (k – 1)3] b. Σ=1[k3 – (k – 1)3] 8 c_E=ovk+1_V

A: To evaluate the following sum.

Q: ssume that functions f and g are differentiable with f(-4)= -2, f'(-4)= 4, g(-4)= -5, and g'(-4)=…

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Q: Consider the space curve r(t) = (2t, 2 sin(t), 2 cos(t)). a. Find the arc length function for r(t).…

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Q: Find all points (x,y) on the graph of f(x)=2x²-3x with tangent lines parallel to the line y = 13x+1.…

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Q: Calculate r' (t) and T(t), where 18.8.8 r'(t) = ( T(t) = ( r(t) = (5t - 7,- (5+5t), 6 + 5t).

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Q: 12. a) b) Consider f(x) = and use, mtangent f(x+h)-f(x) h to = lim h→0 determine the simplified…

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Q: Match the graph of the function on the right with the graph of its derivative. Choose the correct…

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Q: Find the limit, if it exists, or type N if it does not exist. 4xy + 4yz+xz 16x² + 16y² + z² lim…

A: To find:-

Q: 6. dy dt 2 t y = t³e¹

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Q: For the curve given by r(t) = (5 sin(t), -3t, -5 cos(t)), Find the unit tangent T(t) = (000) Find…

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Q: Consider the following. v = sin(4s² - 3t²) Find the first partial derivatives. Vt = = Find all the…

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Q: pls do part b

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Q: Give the derivative of y=.

A: The given function

Q: One method of slowing the growth of an insect population without using pesticides is to introduce…

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Q: The values of mass m, spring constant k, dashpot resistance c, and force f(t) are given for a…

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Q: Concentration (in mg/ml) in the bloodstream of a certain drug is related to the time t (in minutes)…

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Q: The graph below is of a transformed trig function with NO horizontal shift. Write its equation. (Use…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 8. X + 2 y Make a = 9 graph. Use at least 4 points. Report domain and range. (Isolate y.) Solve for…

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Q: Start with a line of length 19. Fold it twice to make an open topped rectangle. What is the max…

A: The objective of the question is to find the maximum height, length, and area of an open-topped…