J 3x ex dx

Q: Find the Maclaurin series of M8 Σ n=0 X sin(t) S t6 - dt.

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Q: Given: (x is number of items) Demand function: d(x) = 352.8 -0.2x² Supply function: s(x) = 0.6x²…

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Q: Find a Cartesian equation relating and y corresponding to the parametric equations Write your answer…

A: x=3sin6t ,y=6cos6t

Q: (b) Find the co-ordinates of the turning points of the following function: y = 3x4 - 16x³ + 24x² -…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: (a) Differentiate the following functions with respect to t: (i) (ii) y = 4t-t² t-1 y = esint 2+2.5…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The equation of the line that goes through the point (5,9) and is perpendicular to the line 4x + 2y…

A: given line goes through the point (5,9) and perpendicular to line 4x+2y=2

Q: Calculate interval of convergence for series.

A: We use ratio test to find the interval of convergence.

Q: This was for question D I did not need A,B,C

A: We need to compute the average rate of change of the future value of the account between year 9 and…

Q: How did you get from step 2 to the solution? I dont understand your example. Am I taking the…

A: The answer is in step 2.

Q: Find the volume of the solid in R³ bounded by y = x², x = y², z = x+y+9, and z = 0. V =

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 8. Find 7. || = 23 55° || = 31

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Q: Let f(x) be a continuous and differentiable function such that f(3)=7 and 2 < f'(x) < 4 for all x.…

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Q: ons, use your work (a) to help you the generar (Recall that general antiderivative of a function…

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Q: Find all values of m so that the function y = emx is a solution of the given differential equation.…

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Q: that the indicated family of functions is a solution of the given differential equation. Assume an…

A: The given differential equation is;  d2y/dx2 - 6dy/dx + 9y=0

Q: (2) Given f(x)= numbers √x+2c_if x>4 [ex² if x≤4 find the value of c so that f(x) is continuous for…

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Q: 2. Locate all local extrema and saddle point(s) of f(x, y) = xe cosy for (x, y) = (-T, T) x (-π, π).

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Q: [ f(x) dx 3 Given that 1 ≤ f(x) ≤ 4 for 3 ≤ x ≤ 7, estimate the value of ] ≤ [ f(x)da <

A: Estimated value formula m(b-a)&lt;=int_a^b f(x) dx&lt;= M(b-a)

Q: SO f'(2x) dx. +6 Lºx xf"(x) dx.

A: The given integral expression is:∫04 f'(2x) dx

Q: If f is a differentiable function with derivative 1-x x²+1 intervals is f concave up? f'(x) = 3 then…

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Q: Determine the derivative with respect to 'x' of: f(x) = Cos (sin x) - sin(cos.x)

A: We know that the derivative of sinx is cosx  And cosx is -sinx

Q: An Internet bookstore charges $20 shipping for orders under $100 but provides free shipping for…

A: C(x) = x + 20 if x &lt; 100         =  x   if  x ≥ 100

Q: Find the angle between the vectors a = 7i- j - 5k and b = 2i+j - 10k. Answer (in radians): 0

A: given a=7i-j-5k and b=2i+j-10k

Q: If f(x) = x²= 1 and g(x) = 3x²=2x-1, + what is lim f(x) ? X→1 g(x)

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Q: Suppose Vf(x, y, z) = 2xyze+²; 2xyzex²; + zet²j + yex² k. If f(0, 0, 0) = 1, find f(3, 2, 2).

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Q: What are the answers for the letters d, e, and f? Thank you!

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Q: Find the distance from the plane 6x+y+7z=54 to the plane 6x+y+7z=30 The distance is d= (Type an…

A: given planes are 6x+y+7z=54 and 6x+y+7z=30

Q: Use the chain rule to find and, where First the pieces: дz ?х ?х дя ду Əs = дz Ət || = And putting…

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Q: Without graphing or solving for the inverse equation, list the transformations of the inverse of…

A: y = - sin(x+1)+3

Q: Determine whether the three points P = (-5, -4,-3), Q = (-8,-10, -12), R = (-11, -15, -21) are…

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Q: Solve (11x + 12)eª dx using Integration by Parts. 11x + 12 and v' = eª. Use u =

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Q: I have a few questions: How did you get from (sin2(x)+sin(x)+5sin(x)+5)/(sin2(x)-12) to…

A: Given:f(x)g(x)=sin2x + 6sinx + 5sin2x - 12   Basic information: 1. x2 + a+bx +ab =x+ax+b2.…

Q: The growth of a colony of bacteria can be described by exponential growth. If the colony initially…

A: Pt=P0ert⇒P0=initial population⇒r=Growth rate⇒Pt=Population at time t⇒t=time in hours

Q: How do I find out why the derivative function in the given graph of (the first photo) is the (second…

A: We have to find the graph of the derivative from the given graph of the function. First let us…

Q: Recall the Chain Rule and how it can be applied to find the derivative of a composite function. In…

A: For each of the following functions, by using chain rule to find the  function's derivative. (i)…

Q: Derive the formula by using integration by parts on the left-hand side. (Assume n > 0.) 1 [x²² dx =…

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Q: A man gets a job with a salary of 31800 dollars a year. He is promised a 2780 dollars raise each…

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Q: Find the volume of a parallelepiped if four of its eight vertices are A(0,0,0), B(3,1,0), C(0,…

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Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region in the first…

A: Given functions are, y=x4 &amp; y=x4 about y-axis

Q: Use the equations to find дz Әх az ду - дz Әх əz Әх = and ƏF Әх ƏF əz and дz ду əz ду x2 - y2 + z² -…

A: x2-y2+z2-6z=7∂z∂x=-∂F∂x∂F∂z∂z∂y=-∂F∂y∂F∂z

Q: Use the chain rule to find the indicated partial derivatives. z = x² + x²y₁ x = s + 2t - u, y = stu²…

A: z=x4+x2y, x=s+2t-u, y=stu2 given s=1, t=3, u=5

Q: Determine whether the lines L₁ and L₂ are parallel, skew, or intersecting. L₁: x = 9 + 6t, y = 12 -…

A: We have to find that given lines are parallel interest or skew.

Q: Q1: Solve the following equations system, using Gauss elimination method 4y1 + 2y2 +3y3-5 =6 3y₁ +…

A: We need to solve the given system of equations using the gauss elemination method which uses the row…

Q: f(x, y) = e cos(ly). Find and classify all critical points of the function. If there are more blanks…

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Q: The equation (5)/(3)log_(4)(x)=9 can be written in the form x=2^(y) for some number y. What is y ?

A: We have to find the value of y. Conversion of log form to exponental formlogbm=x                 →…

Q: Consider the region bounded by the parabolas: y : x² + 4x + 3 and y = x² + 2x + 3. the volume of the…

A: Red graph is y=x2+4x+3 and blue graph is y=-x2+2x+3

Q: f(x) = x² - 4 - 2 k-x X if x # 2 if x = 2

A: A function f(x) is continuous at x=2 if left hand limit and right hand limit and the function at x=2…

Q: Assignment: Consider the region bounded by the parabolas: 2 2 y = x² + 4x + 3 and y = x + 2x + 3.…

A: We need to find volume.

Q: Solve the given equation 3e*+2 = 75

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Q: 3. Use the Intermediate Value Theorem to show that there is some c in the interval (-1,0) at which…

A: f(-1) = (-1)³ - 3(-1) + 1 = -1 + 3 + 1 = 3.  f(0) = (0)³ - 3(0) + 1 = 0 + 0 + 1 = 1.