Solve the linear system of equations. 2x+v+6=-1 5x+y-3=14 7x-5y+2= = 7

Q: f(secx tan² x) dx

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Q: 2. A certain plutonium isotope decays at a rate proportional to the amount present. Approximately…

A: Let  at time t the amount of plutonium is  A(t)

Q: c) L-1, 4s² - 21s+ 30 (s² - 6s+13) (s – 4) -

A: Above question is solved.

Q: What function do you know from calculus is such that its first derivative is itself? (Do not use the…

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Q: 5.494949... = 5. 49494 100000 X

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Q: e²x 9e2 + 18e + 10 (d) / 5 dx

A: To evaluate: ∫e2x9e2x+18ex+10dx Substitute ex=u⇒exdx=du:…

Q: Q1) L-1 s(s²-1) = a) cosht-1 Q2) The general solution of y"" + 2y"-y' - 2y = 0, is: a) y(x) = c₁e²x…

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Q: * if f(x) =1\x true O false O *limt (x-sinx)\X+1 1 O log x^2+3 O 0.5 O then (rang f)=R \{0}

A: We have to choose the correct option from the given options according to the given information

Q: P1: Calculate the area bounded by the curves: C. y e* and x - 2y + 5 = 0, and y-axis.

A: To calculate the area bounded by the following curves.y=e-x and x-2y+5=0, and y‐axis.

Q: Differentiate the following expression: y = x² cos 4x

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Q: Differentiate the function with respect to the independent variable. f(x)=-7x+5x³-6 f(x) =

A: Given, f(x)=-7x4+5x3-6

Q: 2dx 3 X - - 2 X

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Q: Given the function f(x)= = Find the difference quotient Find f'(x) by determining lim f(x +h)-f(x) h…

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Q: At which point/s is the absolute value function not differentiable? x = 0 The absolute value…

A: Above question is solved.

Q: If the first-quadrant area bounded by the parabola y = 4 - x² will revolve about the x-axis, the…

A: Given curve, y=4-x2 Portion of given graph rotate around X axis in first quadrant, Therefore Put x=0…

Q: 4- Find the volume of the solid obtained by rotating about the x-axis the region under the curve y =…

A: Given curve, y=5x from 0 to 4

Q: Use the shell method to find the volume of the solid formed when a hole of radius 1 is drilled…

A: We have to solve above problem.

Q: Rewrite the following quantities mo 1) e5ln x+4Lny-In z 2) 2Ln√x + 2Lne - 2Lne*

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Q: Obtain the an = $ sum of the series. (sin-—-sinn) W

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Q: Differentiate f(x) = (a-x)(a + x) with respect to x. Assume that a is a positive constant. f'(x) =

A: Solving the problem by finding the value of the differentiation.

Q: Given the following total revenue (TR) and total cost (TC) functions for a firm, TR = 5820Q + 40²…

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Q: 1) e5Ln x+4Lny-Ln z 2) 2Ln√x + 2Lnez - 2Lne* Rewrite the following quantities

A: Given :1. e5Lnx+4Lny-Lnz2. 2Lnx+2Lnex-2Lnex

Q: The force of magnitude F-108 lb acts along the edge of the triangular plate. Determine the moment of…

A: We have to find moment value for the given force.

Q: Consider the function f(x) = 4 - 5x², −5 ≤ x ≤ 1. The absolute maximum value is and this occurs at x…

A: The given function is: f(x)=4-5x2 To find the absolute maximum and minimum of the function on -5≤x≤1

Q: = f(x,y) = x² Determine whether the function z = (why or why not) +y + y² for for (x, y) = (0,0) (x,…

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Q: Find the tangent line, in slope-intercept form, of y=f(x) at the specified point. f(x) = - 5 3 2 -1+…

A: Given function, f(x)=5x-3x+2x2f(x)=5x-3x-12+2x-2

Q: Let f(x) = 2.5x² - 2.2c. Use the difference quotient and h = 0.001 to estimate the slope of the…

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Q: Find the first four derivatives of the following functions: 1. y = 4x³ + 12x² + 7x 2. y = 2x5 + 6x²…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 10. The y" of y = (2x¹ + 4x³)(3x¹ − x³) is - a. 336x6 +420x5-120x¹ C. b. 336x5 +420x4-120x d. 48x7…

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Q: Consider the following. y = = In(x²) Find y'. y' = Find the slope m of the tangent line to the graph…

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Q: If you apply the direct comparison test to assess convergence of arctan ²k, k¹.01 to which of these…

A: Given

Q: s shown in the required reading or videos ove that the harmonic series below diverges ithout using…

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Q: 32 *The solution for the following differential equation is dy x-y dx x+y y² + 2xy - x² = c y² + xy…

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Q: 8 1 ₁ }(s) = = nº n=1 Show that finding the value of the Reiman Zeta for (2) is just the value Basel…

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Q: Which of these series, if either, converges conditionally? 1. - (−1)k k=√k (-1)k II. Ÿ (- 1)*…

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Q: cos e de sin² 0 + 4 sin 0-5

A: To evaluate the given integral.∫cos θ dθsin2 θ+4 sin θ-5

Q: differentiate the funtion y = cosh x - sinh x / cosh x + sinh x

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Q: Write the first five terms of the sequence: {√n² + 2n = n}=1 Determine whether the sequence…

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Q: Determine two numbers whose sum is 36 and whose product is the largest possible. 20 and 16 15 and 21…

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Q: Find the tangent line to f(x) = ax³ at x = -1. Assume that a is a positive constant. ***

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Q: Find the Taylor Series about a for tan x

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Q: a) yp (t) =) yp (t) = A cos (2t) + B sin(2t) d) y(t) = A cos(t) + B sin(t) Q21) One of the following…

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Q: 4. Which of the following is an exact DE? A. (x²+1)dx-xydy-0 B. xdy+ (3x-2y)dx = 0 C. 2xydx…

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Q: Differentiate g(N) = rN g'(N)= with respect to N. Assume that K and r are positive constants.

A: We need to find g'(N).

Q: Differentiate f(x) = f'(x) = 2 ax with respect to x. Assume that a and k are positive constants. k+x

A: To differentiate fx=ax2k+x with respect to x. Assume that a and k are positive constants.

Q: 12) The formula of the particular solution yp of y(4) + 4y"=3 sin(2t) - 5cos2t, is: a) yp= Asin(t) +…

A: The given differential equation:y4+4y''=3sin2t-5cos2t.We need to find the formula of  the particular…

Q: (2x-1)dx 2x³-x²-27x + 30

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Q: 2. Find using implicit differentiation. Enclose final answers. dx (a) 4x³y² + x¹y³ = x + y = 0 (b) x…

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Q: S dx (x²+2x+10) ²

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Q: Which of these series, if either, converges absolutely? 00 1 1 1.Σ(-1)* 1.Σ(-1)* 1 k=1 k=1 k+ k² +…

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