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A: We will find the point of discontinuity.
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A: Directional derivative is same as rate of change in that direction
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A: Here we have to evaluate the given integral.
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A: Let I=∫(4x3+x)4x2+1dxI=∫x(4x2+1)4x2+1dxI=∫x(4x2+1)(4x2+1)1/2dx I=∫x(4x2+1)32dx Put (4x2+1)=udifferen...
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A: First order differential equation : Consider the first order differential equations ...
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A: here we have to check whether the differential equation is exact or non exact.
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Q: Find two positive numbers with product 361 and whose sum is a minimum. Enter your answers in increas...
A: To find, two positive numbers.
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A: Given that: ∫1625lnyydy
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A: Part A, rt=cos5t,sin5tTo find : r'π4
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Q: Consider a polynomial f (x) = ax³ – bx + c. Find the value of b if f' (2) = 0 and f" (2) = 31.
A: This question is related to function and their derivatives.
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A: First I have written the standard form of first order linear differential equation and then using th...
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A: We can use an augmented matrix to solve the given non-homogeneous system of equations.
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A: Each part of the problem is solved below in detail.
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A: The given function is: f(x)=-x5+2x3-x+1
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Q: Find two sets of symmetric equations of the line through the points (1,2,1) and (5, –1,1).
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Q: Q: A Fraction becomes 4/5. If 1 is added to both numerator and denominator.If, However 5 subracted f...
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Q: Find the equation of the tangent line T(x) to the graph of the given function at the indicated point...
A: Given, y= 2x/(x-1) By differentiating we get the slope of tangent.
Q: 873 4x) da
A: topic - indefinite integral
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A: The given function is:Y=-0.025x2+6xThe slope is 9
Q: A' + BT
A: Given: A=11134-6424848-56526117B=3-4858122646742638 To Find: A-1+BT
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A: ab /ac =ab-c
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Q: have the cartesian coordinates x=3, y=9, z=3. please show me how to convert to cylindrical coordina...
A: Given: x=3, y=9, z=3.
Q: know what the derivative of e^(g(x)) is and what the derivative of In(g(x)) is. I.e. the chain rule ...
A: From chain rule If g(x) is a differentiable function, then the derivative of eg(x) is g'(x)*eg(x) ....
Q: Define function rules f(x) = 2 Vx-1 by using the limit rule f'Cx) lim f(xth) - FCx) %3D
A: Topic:- calculus
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Q: d?y dy + 5 14y dx2 dx Determine the Characteristic Equation for the given Differential Equation.
A: For solving such differential equation we put y=erx, where r is any constant.Since , d(eax)dx= a eax...
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Q: Kagura stayed at Figaro and ordered a cup of Frappuccino. When the coffee was served at around 8:15 ...
A: The given information can be described in the table below: Time Temperature °C 8:15 PM 75 8:3...
Q: A. Evaluate each of the following indefinite integral: 13 1.
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Q: B Given that V · W = 4, V x w = ,V] = 10and |W = 8. The exact numerical value value of 2V (3V-2W) is...
A: We need to find b,c,d,e.
Q: 3. Find the Scalar eguation of the plane containing the line rt) =<!,2,-37+ -3,2, 17 and the point P...
A: Given problem:- Find the scalar equation plane containing the line r (t)= <1,2,-3 > + t < ...
Q: 1. For the function g(t) whose graph is given below, state the value of each, if it exists. If it do...
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Q: f(t)=16t^2-64t, then f’(t)=
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Q: Rework problem 8 from section 6.1 of your text, involving matrices A, B , and C. Use the following m...
A: We will use the following concepts to prove or disprove the following option. Results i) Matrix mult...
Here we have to use the basic trigonometric identity
and we know that
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