Find the product of A) 3 6 4 3 58 214 1-316 B 2 B. A

Q: Simplify the trigonometric expression. 1 + sec Xx sin x + tan x

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Q: 5. Use the second-derivative test for local extrema to indicate any local extrema and saddle points…

A: Given   fx,y=x2+y2+6x-8y+10 Concept: The Second Order partial derivative test Let fx,y be a function…

Q: Evaluate S 1 d dx /1+x²

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Q: Find the function with derivative f′(x)=e^9x that passes through the point P=(0,4/9)…

A: given  f'(x)=e9x , that passes through the point P=(0,49)we know,  ∫eaxdx=eaxa+c

Q: Find the area of the region bounded by the graphs of the equations. y = -x² + 10x, y = 0 Xx 166.67

A: y=-x^2+10x,y=0

Q: Use the binomial series to find f(10)(0) term for the f(x)= sqrt(1-x2)

A: f(x)=1-x2=(1-x2)12

Q: Find a geometric power series for the function, centered at 0, by the following methods. f(x)= = 5+X

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Q: Simplify the trigonometric expression. 2 + cos(y) 1 + 2 sec(y)

A: To simplify the following trigonometric expression. 2+cosy1+2 secy

Q: Exponential Decay Given that a quantity Q(t) exhibiting exponential decay is described by the…

A:

Q: 18. Maximizing Area Four hundred eighty dollars are available to fence in a rectangular garden. The…

A: Four hundred eighty dollars are available to fence in a rectangular garden.  The fencing for the…

Q: Consider the function f(x) = 2x³-62²-90 +5 on the interval [-4, 10]. Find the average or mean slope…

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Q: If F(t) = (A) 2 L-1 2s+10 (524503+34) then F(0) = (B)-2 (C) 1 (D) -1

A: Given: L-12s+10s2+10s+34 To find: f(0)

Q: 2. f(x) = sin(3x), a = 0, n = 4, T4(x) = |R4(x)| ≤ -≤x≤

A: In this question we can find 4th degree Taylor polynomial and R4(x).

Q: A population of insects increases at a rate 200 + 121 + 0.31² insects per day (t in days). Find the…

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Q: 10. Maximize f(x, y) = 25 − x² - y² subject to 2x + y = 10

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Q: C. Find the differential equation whose solution is given by: In y = Ae* + Be¯x

A: ln(y)=Aex +Be-x

Q: At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of…

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Q: 1₁ f(t) dt, where f is the function whose graph is shown below. What is the value of g (-2)? Let…

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Q: 20. Minimize f(x, y, z) = x² + 4y² + 2z² subject to x + 2y + z = 10

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Q: A manufacturer determines that between 0 and 1000 units can be made, and that the total cost of…

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Q: Exponential Growth Given that a quantity Q(t) is described by the exponential growth funct 500e0.01t…

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Q: Evaluate the integral. [²√³² (x² (x² + y) dx dy

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Q: ƒ: [0, ∞) →R:x→ √ and 8:R¬R:xH Give a formula for the composition g of.

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Q: Locating critical points a. Find the critical points of the following functions on the domain or on…

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Q: ;) Consider f(x)= x² - 8x + 7 Find the absolute maximum and minimum of f(x) on the interval (1,7).…

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Q: A plate occupies the region in the plane described by inequalities: 4 ≤ x² + y² ≤7, y ≥ 0

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Q: π Compute the integral: S -TT sin t 1 + t -dt (Hint: sin(t) = - sin(t)) =I

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Q: Given the vector function r(t) = ( − 4t, 3t², t5 + 5) Find the velocity and acceleration vectors at…

A: Given that,  r(t) = <-4t, 3t2, t5+5>

Q: Sketch a continuous function f on some interval that has the properties described below. The…

A: Here we have given a function f: We want to sketch a continuous function f on some interval that has…

Q: The graph of f(x)= 2x3+9x2-168x has two horizontal tangents. One occurs at a negative value of x and…

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Q: Two systems of equations are given below. For each system, choose the best description of its…

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Q: 3) Consider the function g(x) = cos(3x). a. Write the first three non-zero terms of the Maclaurin…

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Q: Consider the parametric curve z = cos(t) sin(t) and y = sin(t) on the domain 0 < t < . Find the…

A: x=costsint ,y=sin2t

Q: By using the formal definition of the limit, prove that 1 lim x sin = 0. x→0 X

A: Using definition of limit we have to show that:limx→0 x sin1x=0

Q: Find the sum of the first n terms using the formula: a(1-rn) 1-r 2, 1, 0.5, 0.25, 0.125, ... (35…

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Q: 4. y = [9¹nx + sin²(xe)]sin-¹ (Use logarithmic differentiation.) X

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Q: Two systems of equations are given below. For each system, choose the best description of its…

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Q: (b) Under what conditions does an alternating series converge? An alternating series ³ = Σ(-1)^-¹6,…

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Q: Find the exact length of the curve. x = et − 9t,    y = 12et⁄2,    0 ≤ t ≤ 5

A: x = et − 9t,    y = 12et⁄2,    0 ≤ t ≤ 5

Q: - Determine the given indefinite integral f(2x+1)x²x²+2x dx

A: let  B=∫(2x+1)e2x2+2xdxB=∫(2x+1)e2(x2+x)dxwe know→(i)  d dx(xn)=nxn-1(ii)  ∫eaxdx=eaxa+c

Q: Solve the given initial value problem using the method of Laplace transforms. 26, 0sts7, y" +2y…

A: The given differential equation is:y''+2y'+26y=g(t) ;      y(0)=-1, y'(0)=0where:g(t)=26…

Q: -z+5y R 22 c-4y -z+5y=0, z+ 5y = 5, 2x - 4y= 1, 2x - 4y= 2 Find -dA, where R is the parallelogram…

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Q: Write the rule of a function that gives the perimeter of a rectangle of length L and width w. P(L,w)…

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Q: 14

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Q: Find the absolute maximum and absolute minimum for f(x) = x³ — 12x + 12 on the interval [0,3].

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: I x+4 Give exact answers (not decimal approximations). Let f(x) = Find the values of x where f'(x) =…

A: f( x ) = xx+4As we know that ddx( uv ) = vdudx - udvdxv2

Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 1 +…

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Q: 4. Complete the following: • Sketch the parabola of y=x² [A1] • Determine the coordinates for the…

A: Sketching parabola y = x2

Q: 42. f(x, y) if f(x,y)=+912 – 4 9y²

A: NOTE: Refresh your page if you can't see any equations. . the given function is take the partial…

Q: Use technology to obtain approximate solutions graphically. All solutions should be accurate to one…

A: we use Geogebra to find the point of intersection of the line through (0,1) and (4.3,2) and the line…