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A: Given function is fx,y=3x3y2+43x+2y5
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A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…
Q: 1. let y = x(x2+x)2 , Find y' 2. let f(x) = (5x)5 find f '(x)…
A: NOTE: Refresh your page if you can't see any equations. . take derivative
Q: 38. f(x) ex 1 + ex
A:
Q: 2. (By partial fractions} Answer: In |x|- 1 x+1 +C ·x² + 3x + 1 x(x + 1)² dx
A:
Q: Use the one-to-one property of logarithms to find an exact solution for If there is no solution,…
A: Here we have given a logarithmic expression: ln7+ln7x2-6=ln39 Properties we will use here are given…
Q: Find the area of the shaded region. NO y=0 2 2 y = x^3 - 4x^2 6 8 HH 10
A: The equation of the curve is y=x3-4x2 and y=0
Q: What is the partial fraction decomposition of the function O x+1 x² 1 2x -x-2 2(x²+4) 1 x² x+2…
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Q: 3) Find the equation of the osculating circle of the standard parabola y = x² at its vertex.
A: To find the equation of the osulating circle of standard parabola y=x2 at its vertex
Q: Consider the following. x = ln(t), y = 2t, z = t², (0, 2, 1)
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Q: Find the scalar equation of the plane that contains the points A(0, 4, -1), B(6, 2, 5) and C(3, -1,…
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Q: -5x-2y 2x + y x 2z = -2) = 5 +z = 5 =
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Q: The function Ур is a particular solution to the specified nonhomogeneous equation. Find the unique…
A: The given differential equation is; y''+2y'+2y=24ex(cosx-sinx) yp=6excosx y(0)=0, y'(0)=1.
Q: An investment worth $1 million in 2005 has been growing at a rate of f(t) 0.14(1.18) million dollars…
A: An investment worth $1 million in 2005 has been growing at a rate of ft=0.141.18t millions dollars…
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Q: The complete graph of y = f(x) is given below. Use it to graph the following function. g(x) = f(x) +…
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Q: The cost function for manufacturing electric drills is estimated to be: C(x) = 3x² - 10x + 243.…
A: The cost function is, C(x)=3x2-10x+243
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Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. sin(u) tan(u) +…
A: NOTE: Refresh your page if you can't see any equations. . the given expression is, as we know,…
Q: Find the critical points in the domain of the function f(x) = 9x³ – 8x. Enter the exact answers in…
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Q: ₁²√3x²2dx, u = 3x² - 2 du
A: Use the u-subsituation
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Q: Subject :- Finance Bob will run at least 37 miles this week. So far, he has run 22 miles. What…
A: Given :- Bob will run at least 37 miles this week. So far, he has run 22 miles. To find :- What are…
Q: Find the volume of the solid whose base is bounded by the circle ² +² -9 (a circle of radius 3,…
A: To find volume of solid whose base is bounded by the circle x2+y2=9,whenthe cross-sections…
Q: Use power series to solve the differential equation (1+2x²)y"+6xy'+2y=0
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Q: What is the partial fraction decomposition of the function 2x+4 x² (x²+4) ?
A: The given function is:
Q: find the increasing and decreasing of the function f(x)=4x^3+2x^2+4x
A: To determine where the following function is increasing and decreasing. fx=4x3+2x2+4x
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Q: Evaluate the integral. If the integral converges, determine the number it converges to. If the…
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Q: dy dx + 2y = x³e-2x
A: The given differential equation is: dydx+2y=x3e-2x
Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. e³x √-3 da…
A: If the integral valu finite then the integral is convergence And integral valu not finite then…
Q: Find the 32th derivative of f(x) Enclose arguments of functions in parentheses. For example, sin…
A: The given function is; f(x)=cos2x Find the 32th derivative.
Q: Find the first few nonzero terms of the Maclaurin series for the given function. f(x) - In(1-3x)…
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Q: A lake initially contains 5000 fish. Suppose that in the absence of predators or other causes of…
A: A lake initially contains 5000 fish. Suppose that in the absence of predators or other causes of…
Q: Find the indefinite integral. x³ x² - 6 4 dx
A: The given integral is x3/(x4-6).
Q: = x³ and What is the volume of the 3D region, whose base is the region between the curves y = y = √,…
A: We have, Curves :- y = x3 and y = √x Cross section are squares.
Q: A bucket begins holding 10 kgs of sand. The bucket is to be lifted to the top of a 25 meter tall…
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Q: Sketch an example of a non constant function f(x) such that - 0 f(x) dx = 8
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Q: 5. Which of the following is NOT an identit 1 - cos²x = sin²x 2 tan²x = 1 + sec¹x COSX sinx = cott…
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Q: 4. Evaluate √xe-²x² d
A: ∫xe-2x2dx
Q: Use the Chain Rule to find az/as and az/at. дz əs əz at || || z = tan(u/v), u = 8s + 2t, v = 2s - 8t
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Q: e = exp(1) is called the exponential function. Which of the following are true?
A:
Q: Determine whether the graph in the figure is the graph of a function. 29. YA X
A: We have to check whether graph is a graph of a function or not.
Q: The concentration of a certain medicine t hours after injection into the bloodstream is given by…
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Q: Find the equation of the tangent plane to z = e²+x+x³ + 10
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Q: Compute the improper integral 1 x ln(x) -dx if it exists. If not, select DNE.
A: We have to find the improper integral.
Q: 4 3 -3 +---)-(6) --- 00 0 12 0 A-1 = 120 A-21= 0 5 3 0 0 0 3 3 -3 -(6)-( 0 -1 0 1 2 -1 1 0 0 1 0 0 0…
A: ⇒A-I=43-3000120 ⇒A-2I=33-30-1012-1 ⇒A-4I=13-30-3012-3
Q: a⃗ =⟨2, −3⟩ and b⃗ =⟨1,4⟩. Represent a⃗ +b⃗ by using the parallelogram method. Use the Vector…
A: vec a = < 2, - 3 > vec b = <1, 4 > to evaluate and draw vec a + vec b by parallelogram…
Q: f(x) = x + 1 X
A:
Q: Let Find e such that lim f(t) exists. t 2 The cis f(t) = 4 1 2t t + c for t 2
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