Find the derivative of the function y=x^2e^-3x

Q: Evaluate ²₁ √√4x² (x² + y²) dy dx by changing to polar coordinates. (Use symbolic notation and…

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Q: D3 + 2D2 -5D - 6 ) y= 0

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Q: Verify that U(x,y) = f(x)g(y) is a solution of the pde UUxy = UxUy for any differentiable functions…

A: Given U(x,y)=f(x)g(y) Now, Ux=f'(x)g(y) and Uy=f(x)g'(y) and Uxy=f'(x)g'(y)

Q: You need to provide a clear and detailed solution for the following Questions: Work Problem 2 […

A: NOTE: Refresh your page if you can't see any equations. . ................(1) compare this DE with…

Q: 1 15 +7 Σ η = 1 ? ✓ O converges O diverges 1 + 7 W

A: To check the convergence and divergence of the series

Q: да Use the change-of-base formula to determine an expression in terms of a common logarithm and a…

A: As per the rules we are supposed to answer the first part and rest can be reposted.

Q: b) Express 1. In 3.4 1.22378 2. In 1.22378 = 3.4 el-22378 = 3.4 logarithmically.

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Q: 1) Find the following sums: a) (³-5j²) for j = 1, 2,..., 25. Notice that the index variable is j in…

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Q: Identify the quadrants of the following points. A.)(-4,-9) B.) 3 units above the x-axis and 6 units…

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Q: A rectangle R with sides a and b is divided into two parts R₁ and R₂ by an arc of a parabola that…

A: Equation of the parabola? Since it's an upward parabola passing through the origin, so its general…

Q: Find the limit. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit does…

A: To find the limit of the given function

Q: The Big Red Dump Truck started with a full tank of * fuel on Monday morning and the odometer reading…

A: Topic- Algebraic operations  We are given, Odometer reading of truck on monday =77643Odometer…

Q: Let f(x) = In (x^5) f'(x)=? f'(e^4)=?

A: Given function is fx=lnx5 We need to find solution for following cases, f'x f'e4

Q: + y = 2. What is y" at the point (1, 1)? y ² Suppose that x +

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Q: 4s + 1 s³ - 3s² + 3s 1 a. Find the partial fraction decomposition of F(s): Consider the function…

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Q: n a test of 15 questions, ₁ points are awarded for each correct answer while 2 points are deducted…

A: Here given that  x1 points are awarded for each correct answer while x2 points are deducted for…

Q: State the possible rational zeros for each function 1.) f(x) = 3x²+2x-1 2.) f(x)=x²-64 3.) f(x)=x² +…

A: Since you have posted multiple questions i can do first three question as per our company…

Q: Identify the shift for the graph of f(x) = 6-ln (x - 6) O 1. up 6, right 6 O 2. down 6, left 6 ○ 3.…

A: f(x)=6-ln(x-6)

Q: B. We have: 62²-24z lim, 14-16 (Enter DNE if the limit does not exist.) =

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Q: : lim(1+2x) */

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Q: Math questions

A: 1) Given f(x)=(2x)2 Put n=-4f(-4)=2×(-4)2f(-4)=-82f(-4)=64

Q: (a) Show that for x ≥ 1, 1 √1+x² 1 > 0. (b) Use part (a) to show that the integral S 1 √1+x²…

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Q: Let f(x, y, z) = x + yz and let C be the line segment from P = (0,0,0) to (2, 3, 8). (a) Calculate…

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Q: a) Find b) Find d dx -(sin(2x²)) d dx (2x ln(x³ + 13)) c) Find (37) d dx

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Q: The inverse Laplace transform of F(s) = = -98 e 8² +18 2 is

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Q: Identify the type of differential equation (noting the best way to solve them): 4xy + 2x + (2x² +…

A: To identify the type of differential equation.

Q: Find the limit. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit does…

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Q: You need to provide a clear and detailed solution for the following Questions: Work Problem 2 […

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Q: Find the value of a that makes the following function differentiable for all values of x. g(x)= if x…

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Q: 6. Rewrite the expression with a positive rational exponent. Simplify, if possible. [4a2b-41/2 a-264…

A: Given query is to simplify the expression.

Q: 1 x- y² Determine the domain and range of f(x, y): Edit Insert Formats BI U x₂x² A = = = B·· - 頭 Σ Α

A: Given: Now, we need to find the domain. So, for the function to exist we must have the following.…

Q: Skeletal remains had lost 81% of the C-14 they originally contained. Determine the approximate age…

A: We want to determine the approximate age (in years) of the bones.

Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs…

A: As per the guidelines when multiple sub part question are posted in single pic then we are supposed…

Q: please answer this differential equation: Higher Order Linear Homogeneous Equations with Constant…

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Q: a) Set up the integral (2² - ry)dA, where S is the region between y = x and y = x² usir dydx. b) Set…

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Q: whether the function is continuous on the given point. = |x|-x (5, x = 1 (2x +3, x + 1

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Q: Find the equation of the normal line to the curve y = x¹ + 1 that is perpendicular to x + 32y = 4. I

A: The given curve is  y=x4+1

Q: Consider the following series. Answer the following questions. 1. Find the values of x for which the…

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Q: K Two boats leave a dock at the same time. One boat travels south at 32 mi/hr and the other travels…

A: Given:    Let x be the distance the eastbound boat has traveled.    Let y be the distance the…

Q: Evaluate the limit using L'Hospital's rule lim 15xe - 15x *→∞

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Q: Approximate the sum of the series by using the first six terms. (See Example 4. Round your answer to…

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Q: the length s of the arc that subtends a central angle of measure 40° in a circle of radius 17 m.…

A: Given query is to find arc length.

Q: A particular solution of x²y' - x(x + 2)y' + (x + 2)y=2x³, x>0, y₁(x)=x, V₂(x)= xex

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Q: 13. Determine the domain of the function f(x) = OA OB Oc X x-2 A) No solution B) All real numbers…

A: givenf(x)=xx-2

Q: For the problem below, is a central angle in a circle of radius r. Find the length of arc s cut off…

A: Given that θ=π4, r=12 inches, are central angle and radius respectively. We need to calculate the…

Q: Find dx dx y = secx-7√x + 9

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Q: 200 150 100 50 Video Example EXAMPLE 3 To illustrate the Mean Value Theorem with a specific…

A: we need to find out the values.

Q: second derivative of f(x) = 5ex^-2

A: Given query is to find second derivative of the expression.

Q: 1. Determine whether the relation represents a function. If it is a function, state the domain and…

A: Topic- Relation and function A relation is a function if single input does not have different…

Q: 12. Find the volume of the solid formed by revolving the region bounded by the graphs of y=√√√x-2, y…

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