Determine the area of the given region. 1. Region between f(x) = x - 3x – 4 and the x-axis from x =- 1 to x = 4

Q: Consider the paints A (-2,3.1), B(0,0.2) and C (-1,5.-2). (1.) Find a vector of length T in the…

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Q: Find the one-slided limit (If it exists). (If the limit does not exist, enter DNE.) -6 lim x-4 (x-…

A: Given limx→4- -6(x-4)2 Apply the constant multiple rule limx→4- c f(x) = c limx→4-f(x) with c=-6…

Q: 3. If A is a vector representing 50 km/h northeast, what is 3 A ? c. 30 km/h northwest d. 30 km/h…

A: Given problem:- If A is a vector representing 50 km/h northeast, what is (3/5)A ? a. 30 km/h…

Q: Find the curl of the vector field F < ya?, xz°, zyš curl F = k || + +

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Q: 1. For the right triangle pictured below, find the exact values of each of the following (no…

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Q: Let D be the region bounded by a curve x + y3 D (Parametrise the curve so that y/x t.) 3xy in the…

A: Given that D is the region bounded by the curve ?3+y3 = 3?y. The curve is to be taken as y/? =t.…

Q: 1-Find the area of the region R under y=x? + 3x +2 Between x=-1 and x=2 2-the region bounded by y=.…

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Q: y"+y'=t ; where y(0)=1 and y'(0)=-2||

A: Here, the given DE is: y''+y'=t Taking Laplace transform on both the side:…

Q: Let (8, 6) be a point on the terminal side of 0. Find the exact values of cos 0, csc 0, and tan 0.

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Q: 2. Find the volume of solid generated by revolving the area bounded by x=y2+2, x=0 and y=2 sbout: a)…

A: Given problem:- Find the volume of solid generated by revolving the area bounded by x = y2 + 2 , x =…

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L 8 -Prove that lim…

A: Given a function: fx=8x-7x-1To write down the definition that limx→a fx=LTo prove that limx→5…

Q: Find dy/dx by implicit differentiation. 12Vxy +4xyVxy –y dy/dx %D x – 2x²Vxy

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Q: Consider a triangle ABC like the one below. Suppose that A=105°, C=34°, and b=29. (The figure is not…

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Q: 2 + In? x -dx x(1 – In x)2

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Q: Evaluate the integral: V2 1 5xdx *Input answer as a decimal. Round-off to 2 decimal places.

A: The final answer is rounded off to 2 decimal places.

Q: 9. A rectangle is formed in R² by the vectors OA = (1, 3) and OB = (6, –1). a) Calculate the…

A: a)Given OA=i+3jOB=6i-jSince OC is diagonal of parallelgram ABCDOC=OA+OBOC=i+3j+6i-jOC=7i+2j

Q: Cassandra has the following information about f(x) and g(x): f(æ) = x →4 - 4, lim g(x) = 6. x →4 lim…

A: This is a problem related to limit. Based on the limit properties we will answer the question. As…

Q: Evaluate the indefinite integral foan 2 sin“ v cos vdv

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Q: -2ln(cosx) 03. lim, »0 x2

A: The given limit is: limx→0-2lncosxx2   As we know that; The Chain rule: fgx'=f'gx·g'x

Q: The amount of chemical that will dissolve in a solution increases exponentially as the temperature…

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Q: 7. Determine the value(s) of x where the slope of the tangent line is horizontal. Use exact values.

A: If slope of the tangent line is horizontal ,set dydx=0.

Q: 6) By implicit differentiation find a) xy + y² = 2 find d²y/ dx² %3D b) sin(x²y²)= x find dy/dx

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Q: 14 V1+ 7x dx

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Q: Evaluate the integral: he+1 S ) dt t+1. *Input answer as decimal. Round- off to 2 decimal places.

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Q: 9) Evaluate || sin (y') dA , R: the region bounded by y=Vx, y=2 R & x=0. Š įysinx'dxdy ans:-(cosl-1)…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find the area between the curves. 2 y =x - 10. y = 8 - 3x The area between the curves is (Type an…

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Q: Determine whether the vector field is conservative. If it is, find a potential function for the…

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Q: Find the constant a such that the function Is continuous on the entire real Iine. 7sin x If x <0…

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Q: The following integral may be solved using substitution. Choose a function u that may be used to…

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Q: 8. Find the inverse function of: f(x) =- 64

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Q: x* dy

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Q: Suppose that f(z, y) = z² - zy + y? – 5z + 5y with z? + y? < 25. 25 1. Absolute minimum of f(x, y)…

A: We have to solve the maxima minima problem.

Q: If A is a vector representing 50 km/h northeast, what is A ? c. 30 km/h northwest a. 30 km/h…

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Q: If = 27- 67 + 2k and y = i+3 - k, determine + 25.

A: Topic = Vector

Q: Solve the following differential equation: dv = Vcoto + V³cosece OP

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Q: z(0) - 2, y(0) 8.

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Q: 13. A and B are unit vectors with an angle of 45° between them. Calculate the value of A - 2B Round…

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Q: dx S- VVx+1

A: As per the company's guidelines, we are suppose to answer only first question. Kindly repost the…

Q: Г1 2 1 Given A = 2 3 1 4 0 17 x, C =|-2 1 0 and D=[2 1 4]. |-2 0 1 5 В - -2 w 3 4 2 y 3 -2 a (a)…

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Q: Find dy If y=1-t and x2 dx

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Q: 4) Evaluate each integral using the indicated substitution |(2x+7)(x² +7x +3)*5 dx; u=x² +7x+ 3

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Q: Q2: Solve the following linear differential equation: y' + y = x+

A: We can solve this as follows:

Q: |(4x – 3) In x dx

A: This question can be solved using the concept of integration by parts.

Q: Find the following definite integrals. sin a dr

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Q: Suppose that f and g are differentiable functions such that f (0) =2. f'(0) =-5. g (0) =- 3. and…

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Q: 3. Solve equition system with Given function and using matrix representation: 3-x+ 3-y+ 4-z= 7 x -…

A: Given

Q: The two paraboloids z = x2 + y? – 1 and z =1 – x2 - y? meet in xy-plane along the circle x2 + y = 1.…

A: Topic: Representation of volume as triple integral

Q: Find sin 0, where 0 is the angle shown. Give an exact value, not a decimal approximation. sin 0 = 5…

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Q: lim, (e² – 1)cosx COSX

A: To evaluate the given limit.

Q: R. 1. Show using similar triangles that tan0 and cot 0 are the respective measures of line segments…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…