1. Find parametric equations for the following curve. Include an interval for the parameter values. The line segment starting at P(0, 1) and ending at P(-2,5).

Q: Taking into account identical letters, how many ways are there to arrange the word PARVAMONSTRA that…

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

Q: X = x = 83 logg 4-logg 9 Note: Your answer must be exact and in simplest form.

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Q: Problem 3. Find the arc length of the semicircle y-√√9-x from (√5, 2) clockwise to (√5,2). (cf. page…

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Q: D (27x²y² +48x³y³)dxdy, if D: x=1, y=√ï, y = −2³ - x3 -

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Q: Find the parametric equation of the tangent line to the helix with parametric equations below at the…

A: x=2t, y = e^(-t)  z=3t-2t² Point (0, 1,0 )

Q: has two solutions. The smaller is 22x5×2x+6=0 and the larger is

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Q: The efficiency E (in %) of an automobile engine is given by: E= 0.736 s-0.00005 s3 where s is the…

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Q: a) For event A, P(A) = TT Write down P(A'). Give your answer in terms of . b) In a group of 13…

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Q: Q7 Given f(x) = 5-6x² + x³. How many critical numbers could f(x) have? (a) 0 (b) 1 (c) 2 (d) 3

A: according to bartleby guide-line we do only first part of multiple questions.  given  f(x)=5-6x2+x3

Q: Find the exact length of the polar curve described by: r = 8e on the interval ≤ 0 ≤ 4ñ.

A: We have to find the length of the polar curve :                       r= 8e-θ,         32π ≤ θ ≤4π…

Q: Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros…

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Q: Find the derivative of the function. y = x²ex - 2xex + 5ex y' = x² et + 3et 2

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Q: If f(x) = 6 + 6x − 4x², find ƒ'(-3). - -48 X

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Q: f(x) = x² - 2x and g(x) = x + 9. Evaluate the following: 1. (fog)(x)= 2. (gof)(x)= 3. (ƒ •ƒ)(x)= 4.…

A: Given: f(x) = x2-2x and g(x) = x+9 To find: f∘gx, g∘fx, f∘fx, g∘gx

Q: 12y 10. Section 7.7 Evaluate: [[(x² - 4y)dxdy -10

A: ∫-11∫02yx2-4ydxdy

Q: a) f(x) = -2x² + 3x-1 b) g(x)=- 1 3x c) h(x) = -2e* d) p(x) = cos x + T

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Q: Figure 3 Figure 3 shows the curve y = x² - 2x which crosses the x - axis at the origin and at (2,…

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Q: Use the figures to calculate the left and right Riemann sums for f on the given interval and the…

A: Solution: Given function, f(x)= 3/x + 1 ,[1,5] n =4

Q: Find the indefinite integral. (Use C for the constant of integration.) J sin x 2 + cos²x dx

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Q: Find the most general antiderivative for the function Antiderivative = + 6 - 4√√x².

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Q: Find the average value of f(x) = = 9 x3 Average value = + 7x on the interval [1, 2].

A: given,  f(x)=9x3+7xformula for average value of f(x) on [a,b] is favg=1b-a∫abf(x)dx

Q: We know that a= 23 sin' (ax) cos(ax) dx = sin³ (ax) b Find b + C

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Q: concavity (if possible) at the given value of the parameter. (If an answ arameter t = 9

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Q: > Sc(xy + x +2 Evaluate +x+z) ds along the curve r(t) = 2ti + tj + (4-2t)k, 0≤ts 1. Sc (xy +x+z) ds…

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Q: Find the derivative -9(x) = -(in (3x-2)) 5

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Q: Evaluate the definite integral. 8 0 1 4 3 3x + 13 X + 9 dx

A: Explanation and some important formulas::-

Q: Estimate the area under the graph of f(x) = 10√x from x = 0 to x = 4 using four approximating…

A: Given function f( x ) = 10x from x = 0 to x = 4 using four approximating rectangles and right end…

Q: Use implicit differentiation to determine given the equation x² + y - 2. dy dx = dy dx

A: The given equation x2+y6=-2. We have to find dydx using the implicit differentiation.

Q: Consider the function 567 f(x) = 7x + X 9 X = 0 < x < ∞. This function has an absolute Select an…

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Q: Use the algorithm for curve sketching to sketch the following:( Show all steps) a) Y=x²-3x+6 x-1

A: a)y=x2-3x+6x-1

Q: f(x) = 6x from a = 1 to b=2 (a) Calculate the Riemann sum for the function for the following values…

A: To find the area of given function.

Q: Complete the following steps for the given function, interval, and value of n. a. Sketch the graph…

A: The given function is:f(x)=x2+1        on 3, 7

Q: 18 • Σ =1

A: let  G=∑k=118(k2)

Q: 10. Find lim n→∞ n-3 n+3 4n

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Q: What are the first five terms of " for nz 1? 2 A B 2, 4, 8, 16, 32 D 2,4, 32, 52 C 2, 4, 8, 32 5…

A: an=4n2n  for n≥1

Q: Given f(x, y) = 80x + 90y - 4x² - 5y² - xy Evaluate f(5, 1) f(5, 1) =

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Q: Complete the following table by indicating the secant slopes joining the points whose abscissas are…

A: The secant line is the line that cuts the curve at two points. f(x) = 2x2 - 1 If a line passes…

Q: A particle moves in the coordinate plane with position vector (x(t), y(t)) such that x(t) = t² - (t)…

A: Note : Since you have posted a question with multiple subparts, we will provide the solution only to…

Q: If f(x) = f'(x) = 1 x³ 3 √t² + 1 dt then F

A: Here we will use the Leibniz theorem to  find the derivative of the given problem, so on using this…

Q: Solve the following Laplace transform by using the definition

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Q: Find the derivative of the following function. 5. f(x) = - cosh *3x

A: The given function is ƒ(x) = - cosh5(3x)

Q: Find the equation of the tangent plane to the given surface at the specified point   2x=y^2+z^2-9 at…

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Q: Find the indefinite integral. (Use C for the constant of integration.) J In(sec (50)|) + C tan 50 de

A: Given integral ∫tan5θdθ = ? As we know that tanθ = sinθcosθ

Q: 5. f(x,y) = (x²y+ 3x) 5 A. fy B. fyy (1,-1)

A: To find out the partial derivatives.

Q: 5. The elevation of a path is given by ƒ(x)= x³ −5x² +30, measured in feet, where x measures…

A: We have to find the average value of the function f(x)=x3-5x2+30 for 0≤x≤4

Q: 1. Integrate f fe²+³dA where R = {(x, y): x² + y² ≤ 1}. Oa. (e-1) Ob. π(e-1) OC. TE c. Od. Te ле Oe.…

A: ∫∫Rex2+y2 dA where R=x,y: x2+y2≤1

Q: Calculate the following double integral:  ∫∫ (2y²)/(1+x²) dA R   where  R={(x,y)|0≤x≤1, -1≤y≤1}…

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Q: In the expansion of (2+2cx)6, the coefficient of the x³ term is the same as the coefficient of the…

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Q: Evaluate the double integral by first identifying it as the volume of a solid. J√₁5 5 dA, R = {(x,…

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Q: Find or evaluate the integral by completing the square. (Remember to use absolute values where…

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