Evaluate each of the following indefinite answers in simplest form (factored form) 3dt 1. (2t +8) Jt +1

Q: Find the points on the curve r = 1– sin 0 - where the tangent line is horizontal or vertical.

A: To find out the points on the given curve, where the tangent line is horizontal or vertical.

Q: Match the differential equation with its direction field. y' = sin(10x) sin(10y) y \ 20y 0.34 15 0,1…

A: Here, to match the graph of the given differential equation: y'=sin(10x)sin(10y)

Q: Evaluate this path limit: 4.ry3 lim (z, y)¬(0, 0) 2x² + y6 I=y% =???

A: To find: Limit of the function of two variable along the given path.

Q: y²dy Vy2+4 3.

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Q: 3dt 1. J (2r+8) fr+1 Suv-2+1 ¢v 25x -9 dx 3. 4. V40-4v-v dv

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Q: What is the value of csc(0) if the terminal side of the angle 0 intersects a circle at the point…

A: At first we want to find radius of the circle.

Q: 4. f(x) = sin xand g(x) = 2x 5. f(x) = x² + cosx and g(x) = 3x + 4 Guide Questions: 1. How did you…

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Q: The base of a three-dimensional figure is bound by the line y = x +2 on the interval [0, 4].…

A: Let's find.

Q: In(&x³) f(x) = 1-9e-* -2x 1-9e 2

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Q: Let the cost function be C(x)= x2 / 8 + 4x + 200 and the unit is sold at price of p = 49 - x dollars…

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Q: If C is the line segment from (1, 5) to, (0,0), find the value of the line integral: So(4y? i + 4x…

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Q: x * - 2 and g (x) = 10. Given f (x) = x - 1X = 1. Find 2x + 1 a) the domain of f (x) and the range…

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Q: y Find the equation of tangent line to the curve y'+ln =1 at the point ,2 (1, 1).

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Q: At which points on the curve y = 1 + 40x3 - 3x5 does the tangent line have the largest slope? (x, y)…

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Q: (2х — Зу + 1)dх — (3х + 2у — 4)dy 3D0

A: The given DE is of the type: Mdx+Ndy=0 where  M=2x-3y+1 & N=-(3x+2y-4)⇒My=-3, Nx=-3⇒My=Nx

Q: Answer the following True or False. dt sec 't |', \_ 1 = 27. |t|VE2 - 1 O True O False

A: sec-11=0 and sec-1(-1)=π

Q: 4 1 |x²ydxdy 4. 2 0

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Q: y" + y' + 2y = 0, y(0) = y'(0) = 0

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Q: 3. Find the domain and the range of the functions below. a) f (x) |x | b) g (x)

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Q: The integral of the given function fan* tan3x dx is Vsecx tan5x tan?x а. 5 + C 3secx tan5x b. tan³x…

A: Given query is to eveluate the integral.

Q: COn 8 Question 12 dx is equivalent to what trigonometric expression when solved using trigonometric…

A: Question no. 13 is not visible proper ,you can repost again

Q: f(x) = sin° (tan(5e2*))

A: We can find the derivative as below using chain rule.

Q: V2+x² lim x-

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Q: The functions f and g are continuous and differentiable with f'(x) = g(x). Selected values of the…

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Q: Why do we use radians rather than degrees in Grade 12 math? You may use examples to explain your…

A: We use radians rather than degrees because of below reasons.

Q: (c) Find parametric equations to represent the red line in the graph below. 10 (-2, 7) (6, 3) -5 10…

A: This is a problem related to equation of line. Based on the general formula of line equation we will…

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: Consider the following function. f(x) = 16 – x2/3 Find f(-64) and f(64). f(-64) = f(64) = Find all…

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Q: Given vectors a = (-1,-2),5= (-2,3), c= (3,-1),đ = (-3,2) find the dot product of 5 and d. -12 -1 12…

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Q: The graph shown is f(x) = x³ + 2. 5 4 3-21 1 2 3 4 5 What is the integral function that defines the…

A: The answer is in step 2.

Q: 2x + 5 What is true about the function Ax) = X+3 as x → co?

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Q: 3. Which of the following is the solution to sin a +1 = 0? O x = 0 + 360k O x = 180 + 360k O x = 90…

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Q: 8 Consider the function f(x) - 7. Let F(a) be the antiderivative of f(x) with F(1) = 0. Then F(r)

A: Find the integration and the put x= 1

Q: Use the following information to answer the next three questions. A model of a house was built using…

A: 2.5cm corresponds to 1m.

Q: of

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Q: Find the equation of the tangent to the function f(x) = -4 sin’x at the point where x = (use EXACT…

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Q: 4,0 F1 Let h(x) = f(x) g(x). Find A. h'(1) В. h' (2) с. h (3) — %3D ||

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Q: The base of a three-dimensional figure is bound by the x-axis and the line y = -2x +3 on the…

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Q: Given the vectors, ū = -3i+2j and = 4i – j, find 4ü-27. %3D (-20,10) (20,-10) (-20,-10) (20,10)

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Q: 5. Which of the following is the solution to the equation below? 2 sin? æ – 1 = 0 x = 45 + 360k, x =…

A: Solve the following

Q: )Let f ( x ) =3x4 + 4x3 find the absolute extrema f(x) on (-2,1)

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Q: Suppose the gradient of f (x, y) exists for all points in R2. Which ONE of these statements must be…

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Q: The integral of the given function f x2 dx is (9-x2)2

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Q: 6)Let f ( x ) = x4 + x3 - 3x2 + 1 a)Find all the hypercritical values. b)Determine the intervals…

A: The given function is f(x) = x4+x3-3x2+1 ............................ (1) We have to a)Find all the…

Q: Wheat is poured through a chute at the rate of 10 ft/min and falls in a canonical pile whose bottom…

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Q: Given f"(x) = 4x – 1 and f'(– 1) = 1 and f( – 1) = - 1. Find f'(x) and find f(4)

A: Basic integration is required.

Q: Consider the parametric equations below. x = t? - 5, y = 3 - 4t, -3 sts4 (a) Sketch the curve by…

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Q: 10 Find the projection of u =-14 onto the -15 -4 -4 subspace W of R' spanned by -6 | and 6. 910 53…

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Q: Screen Shot 2022-04-05 at 5.49.01 PM Q Search Problem #8: Demand for a certain kind of SUV obeys the…

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Q: e one Choose one e in the same plan

A: We have to choose one lie in the same plane or not