(a) find vectors 30 and +2 (b) find lu + 2√1

Q: 2 ‚ ( ² + + + + ) ² = (-²/² - C y lim (x,y)→(3,4) ▼ x

A: To evaluate the following limit.limx, y→3, 4 1x+1y2

Q: Question What are the critical points for the plane curve defined by the equations x (t) = y(t) =…

A: Criticle point

Q: 5 If ["f 5 1 [²1(x) f(x) dx = 9.2 and nd [* f(x) dx = 5.7, find f(x) dx.

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Q: If P 2 3 []-[1 Q = a b = PQ = QP then find the values of a and b.

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sec³(x) tan(x) dx

A: Evaulate the indefinite integral

Q: The first 4 terms of the Maclaurin series for In(1+3x) is ...? a) 3x - 2x² +9x³ - 81x4 Ob) 1+ 3x -…

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Q: Calculate the 4th derivative of y = xe*

A: Given query is to find 4th derivative

Q: In the year 2000, the population of a small city was 50,000. The population grows at a rate of r(t)…

A: given rate is  r(t)=1200e0.04let t=0 denotes the year  2000for 2020, t=2020-2000=20

Q: If f(x) = ex- 1,0 ≤ x ≤ 2, find the Riemann sum with n = 4 correct to six decimal places, taking the…

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Q: This problem involves empirical probability. The table shows the breakdown of 92 thousand single…

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Q: = Find the area of the region enclosed by y x = 3.5 - y². 1 1 2 3 and 3.5x and Use horizontal strips…

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Q: Recall the following indefinite integrals for basic proper rational functions, where a and b are…

A: according to bartleby guide line we do only first part ofmultiple please re post other parts a)…

Q: Find You do not need to simplify. dx a) y = 2x(3x + 9) (4x³ + 2x² − 8x) b) y = 3x-6 7x

A: To find dydx

Q: Use an inverse matrix to find the solution to the system. Find the inverse of the coefficient…

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Q: Consider the following indefinite integral. The integrand decomposes into the form: Compute the…

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Q: You wake up one morning, and find yourself wearing a toga and scarab ring. Always a logical person,…

A: Given, The pyramid base is a square of side 1290 Height of pyramid 4660 To be found : Volume of…

Q: 1. An arithmetic series is defined by the formula a = 2n+1. a) What is the first term of the series?…

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Q: lim (x,y) →(2,2) x+y+4 4-x-y √√x + y −2 √x - √√√y+3 lim (x,y)→(9,6) x-y-3 x+y+3 C

A: Part 1,Given,           limx,y→2,24-x-yx+y-2

Q: Find the smallest perimeter and the dimensions for a rectangle with an area of 4 in ²2. The smallest…

A: let the dimensions are length = y breadth = x Given area ( A ) = 4

Q: A poster consists of a printed area and margins (See image). The area of the entire poster is A = 96…

A:

Q: 26 D 23 29 25 E 15 A Find the shortest path from vertex A to vertex B. Give your answer as a…

A: We want to find out the shortest path from vertex A to vertex B

Q: 11. 7(t) = (cost, e¹, Int)

A: Given rt=cost,et,lnt We know that dcostdt=-sintdetdt=etdlntdt=1t

Q: The given contingency table lists the cross tabulation of whether adults, for whom answering the…

A: Please see the below picture for detailed solution.

Q: Match the general solutions to the differential equations. - ✓ (D²+2D+5)y=0 - (D²-6D+10)y=0…

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Q: Which of the following functions is equivalent to ƒ (x) = log4 (16x)? Hint: There are 4 correct…

A: The given function fx=log416x. We have to find the equivalent functions of fx.

Q: Express the limit as a definite integral on the given interval. 4 lim [3 - 4(x,*)² + 6(x;*)³] Ax,…

A: Given:- limn→∞∑i=1n3-4xi*2+6xi*3∆x Interval 0,4

Q: Evaluate the integral by interpreting it in terms of areas. 1₁ ( 4 + √9-x²) dx

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Q: The marginal cost for a company to produce q items is given by MC(q) =0.003q²-0.8q+615. The…

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Q: Determine which of the following is the particular solution for the differential equation (D²- 2D+4)…

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Q: Use a finite approximation to estimate the area under the graph of the given function on f(x) = -1/2…

A: We need to find area under the curve.

Q: Given a vector v with initial point P(22, -21) and terminal point Q(-38, 23), write the vector in…

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Q: Use Green's Theorem to evaluate SF F.ñ ds, where F = √x + 5y, 4x + 5y) and C' is the boundary of the…

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Q: Find the exact arc length of the curve on the given interval. Parametric Equations Interval x = 5…

A: Use formula of Arc length

Q: Show that cos (π-x) = sin X 2

A: Prove; Cos(pi/2 -x)=Sinx.

Q: Find the particular solution of the equation satisfying the given condit 3 TT sin(x) dx + sec(x) dy…

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Q: Find the distance between the two points shown below. 2 1 -1 -2- -3 -4 -5 Distance = A 2 B + Ta…

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Q: f(x, y) = 2x² + 4y² fz ( − 2, — 5) = | Question Help: Video

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Q: Find the area of the specified region. (Do not count area below the x-axis as negative.) the area…

A: The given curves are: y=16-x2, x-axis or y=0, and the lines x=-4 and x=4   So, the bounded region is…

Q: 1. Find the total area enclosed between the curves y 27² and y = 1¹ - 21². It is usually a good idea…

A: Given, y=2x2, y=x4-2x2

Q: Evaluate the integral (5) ³ 23 0 15√x sin(x√x) dx

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Q: b. The equation of a circle of radius r, centered at the origin (0,0), is given by r² = x² + y² •…

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Q: Maximum Revenue Jesaki Electronics manufactures and sells a smartphones per week. The weekly…

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Q: Evaluate the integral. 6. (2e + 8 sin(x))dx

A: We have to evaluate the integral ∫0π 2ex + 8 sinx dx.

Q: 9. 7(t)= (cost, sin t)

A: #Question 9 Given, r→t=cos t, sin t

Q: A baseball team plays in a stadium that holds 68000 spectators. With the ticket price at $10 the…

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Q: If f(x) f'(x) = = x2 - 3 - t² dt then

A: ∫xndx=xn+1n+1+cdxndx=nxn-1dconstantdx=0

Q: Set up the definite integral required to find the area of the region between the graph of y=x²-14…

A: formula for area is A= ∫abf(x)-g(x)dx

Q: Evaluate the integral. 1 [²(6x (6x² + 5ex) dx

A: Solve by integration

Q: If a car gets 21 kilometers per liter of gasoline, how many miles per gallon of gasoline would it…

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Q: lim (cos(2x)) ¹/x²_ +0x

A: