Find the lengths of the two missing sides. 15 X 15 60% y Enter the value of a here. (You'll enter the value question). If necessary, round to 4 decimal plac

Q: The subject is: Precalculus The general subject is: Introduction to Calculus and the specific…

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Q: If 8000 dollars is invested in a bank account at an interest rate of 10 per cent per year,…

A: If 8000 dollars is invested in a bank account at an interest rate of 10 per cent per year,…

Q: 2. Find the first derivative of each function: a/y = x³e; b/y = log6 (2x² - 3x + 6); c/ y = e2x cos…

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Q: Find the Laplace tranform of the ff: 2x2

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Q: fip da ॥ 72 fi 2r+39 e

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Q: c) (Vilntdt ; d) fe' sinxdx ;

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Q: Given below are descriptions of two lines. Line 1: Goes through (−12, 50) and (−3, 14) Line 2: Goes…

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Q: Find AB and BA. 2 -2 0 A = [33] and B = [11] -3 9 Select one: O a. AB = 2 = [39]; J: BA B = [];BA =…

A: Given: A=2-2-39 and B=1001 We are required to find: AB and BA

Q: Find the directional derivative of f (x, y, z) = 2z²x + y³ at the point (1, 2, 2) in the direction…

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Q: 5. Find the plane containing the line given by x(t)=4+3t, y(t) = -5+5t, and z(t)=3+8t that is…

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Q: What is the component form of resultant of 46 - 5ā? a = (1, -3) 6=(-1,2) Enter your answer by…

A: a=<1,-3>, b=<-1,2> Find 4b-5a

Q: If v(t) = -t+2 and d(0) = -3, then d(t) = - + 2t-3. false Otrue

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Q: Express the arc length of the curve y = tan (x) for 0 ≤ x ≤ Choose the correct integral. π/6 O 0.5%…

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Q: Select the basic integration formula you can use to find the indefinite integral. 1 이 U 7 (7t - 9)²…

A: The given integral is ∫77t-92+100 dt

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A: Given that v(t) = 3-t and interval is t=0 and t=4. We find displacement of this object.

Q: Find the first three terms of the Taylor series in x - a. ex. a=3

A: Given that a function f(x) = ex and a=3. We find first three terms of taylor series.

Q: x² √x² - 9 s dx

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Q: Use integration by parts twice to evaluate fet cos(3t)dt: Step 1: Let u = et and du + S fet…

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Q: Sketch an example of a non constant function f(x) such that - 0 f(x) dx = 8

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Q: Find the lengths of the two missing sides. X 30% y 24 21 Enter the value of a here. (You'll enter…

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Q: Consider the equation 4x - 9y = 18 A line parallel to the above line would have a slope of A line…

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Q: 5. Consider the function: f(x)=x²ex a) Determine the first AND second derivative. 1 b) Determine the…

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Q: Find all the first and second order partial derivatives of f(x, y) = −8 sin(2x + y) + 9 cos(x − y).…

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Q: X Sketch of f(x)= ƒ(x) = -√²-4

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Q: Determine the value of the given element of the matrix. a34 A = 3 15 -7 Select one: O a. -5 O b. 24…

A: A=3-89-215-3108-72-513

Q: The owner of a skating rink rents the rink for parties at $360 if 30 or fewer skaters attend. For…

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Q: 8. For f(x, y) == xex²y Find fx (1, 2) {needs product rule}

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Q: Compute the following indefinite integrals showing ALL steps. Remember the constant of integration.…

A: I=∫extan-1exdx

Q: What is the value of c > 0 that maximises the function h = ln(c) — ct, where t is a positive…

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Q: Let M be a hermitian matrix. Fill in its missing entri- M = -3 -9 - 5i 1 - 2i -4 −6+2i 0

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Q: 10 5 0 f(x) = vx - 5 5 10 15 20 25 30

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Q: Find the volume of the solid whose base is bounded by the circle ² +² -9 (a circle of radius 3,…

A: To find volume of solid whose base is bounded by the circle x2+y2=9,whenthe cross-sections…

Q: The position of a particle in the xy-plane at time t is r(t) = (t − 3) i + (t²+3) j. Find an…

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Q: The number of points of inflection of f(x) = at is 03 02 01 0

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Q: Compute the partial sums S2, S4, and S6 of 1 1 1 1 + + 12² 24² 36² 48² (Use symbolic notation and…

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Q: Use substitution and partial fractions to find the indefinite integral. (Remember to use absolute…

A: By using substitution and partial fractions to find the following indefinite integral. ∫sec2xtan2x+9…

Q: ind the equation of the curve whose y" = ○ y=2 sin-¹ (2) — 4³-√3 -1 - O y = y = sin¯¹(x). X sin (x)…

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Q: Express the set in interval notation. 3 Select one: O a. [3,9) O b. (3,9] O c. [3,9] O d. (-∞,3) 9

A: The number line represents the solution  the aim is to find the solution in interval notation

Q: Estimate S M₁~ e -x2 dx using the Midpoint Rule with n = = 4, correct to 5 decimal places.

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Q: Evaluate the definite integral using the given integration limits and the limits obtained by…

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Q: lim x →∞ lim x →∞ 77-3x+71 cx77-71 ax ax77-3x+71 cx74-71 ax74-3x+71 lim x →∞ cx77-71 = AY AY

A: we need to find the given limits

Q: Problem #3: Consider the following matrix. A = d a b C f (a) Suppose that det(A) = −6. Let B be…

A: “Since you have posted multiple questions with multiple sub parts, we will provide the solution only…

Q: Find the average value of f(x) = = √x² − 1,1 ≤ x ≤ 6. - X

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Q: In Calculus you will see the symbol y'. Treat y' as a variable and solve the equation for y. 6y²y +…

A: To solve the following equation for y'. 6y2y'+30xy+6x2y'=5y2+25xyy'

Q: S dx x√16x²-5

A: Let I is the value of given integration.Therefore I=∫1x16x2-5dx

Q: Write out the first five terms of the sequence, determine whether the sequence converges, and if so,…

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Q: Nadia wants to get to the bus stop as quickly as possible. But The bus stop is across a grassy park,…

A: Nadia wants to get to the bus stop as quickly as possible. But The bus stop is across a grassy park,…

Q: The function y = Ce-2 +3 Solves the differential equation y' + 3y = -2y + 6. O true false

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Q: 2. The table gives the values of a function obtained from an experiment. Use them to estimate f(x)…

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Q: d the indefinite integral using integration by parts with the given choices of u and dv. (Use C for…

A: using  Integral by parts:-  ∫u v dx = u∫v dx −∫u' (∫v dx) dx  here u = ln(x) and v = x^3   u' = 1/x…