Q2) Find the distance between the line (y=x+4) and the center of the circle (y+x-4x-4y%34)

Q: Differentiate the following function. f(x)=(x^4-4x)^2 f'(x)=

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Q: 4. y(4x + y)dx – 2(x² – y)dy = 0 - dy 5. y+x = Vx² + y² dx

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Q: Solve the following items: A) Knowing that h(x) = cos(2x) * ln(1 + sin(x)), determine h'(0) B) Kno...

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Q: +oo 1

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Q: 1. Use the function g(x) a. Use a calculator to graph g(x). Make sure you have a window that is larg...

A: The given function,       gx=2x2-4xx2-9

Q: 23 c) [[(x?y +1) dx dy answer: 10.5 1 2

A: Taking integration. 

Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) = ...

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Q: Evaluate the following limit using L'Hopital's Rule if indeterminate. e* – 1 lim x-0 sin(x)

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Q: Math114 Logic and Set Theory Worksheet #4 4. Let U be the set of integers. Let A = {3,6}, B = {3, 8,...

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: JA large cube of ice melts such that it maintains its shape. The surface area is decreasing at the r...

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Q: 4. Show how to find a vector ẽ = c – Ab that's perpendicular to b and is a linear combination of b a...

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Q: Write six different iterated triple integrals for the volume of the tetrahedron cut from the first o...

A: In order to answer this question completely and clearly first we need to give six different iterated...

Q: Convert the Cartesian coordinate ( – 4, – 1) to polar coordinates, – 27 <0 < 0, r < 0. No decimal en...

A: Solution is written in below steps.

Q: O Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow ...

A: In order to solve this problem we need to frame this as arithmetic progression series and solve it a...

Q: 1² – 1 f(r) : 1² + 4°

A: We have to sketch the curve of given f(x)

Q: f(x,y,z) = x e Yz. a) Find Vf = Type an exact answer, using radicals as needed.) b) Determine the ta...

A: Follow next step

Q: I. Write True if the statement is true. If the statement is false, explain briefly why it is so. (a)...

A: All result are true.  If nth sum of partial sum is going to zero then series is convergent. 

Q: the integral e** the integral S et3 dx is equal to: + C + C the above O the above eオ~3 + C -3ex + C ...

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Q: n cos“(n) 2+ n3 Determine if the series converges or diverges and choose the option that describes t...

A: Using Dirichlet test.  According to guidelines we solve only first question. 

Q: What is the first derivative of the expression (xy)× = e?

A: See the details solution in below

Q: Use one of the limit definitions to find the derivative of f(x) at x = 2. f(x) = 4x2

A: Explained below

Q: 2. (s-s?-t)ds + (t + s² +t ²)dt = 0

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Q: ba be #3. Let n be an ntey er with nzl and let b,, bzbn be positive real numbers, not all egual, suc...

A: Solved below

Q: 10. t(x) = Vx+3+4

A: Given function t(x)=x+3+4

Q: Given w = xysin(z ), x=s-t, y = s?, z= t2. Find . aw 2xyzcos z? aw az 2yzcos z? Option 1 Option 2 aw...

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Q: Activity 1: Find the value or values of x for which the curve of the following functions has a point...

A: The point of inflection is at x=12

Q: What is the value of C when x=y=0? y = 2xy – x O 1 O -1/2 O 1/2 O None of the choices

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Q: Consider the function y = -x3 + 3x² – 2. a) Find the critical points. b) Use the 2nd Derivative Test...

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Q: QUESTION 5 For the following function, find the value of (a) f(-3) and (b) f(5), if possible. x²- 3 ...

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Q: Use logarithmic differentiation to find the derivative of y with respect to the given independent va...

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Q: Calculate the area of the region to the left of the parabola x= 2y^2, to the right of y-axis, and be...

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Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = V3x – 5

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: Find the volume of the solid whose base is the circle x² + y² = the x-axis are triangles whose heigh...

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Q: 13 A triangular lot bounded by 3 streets has a frontage of 300 feet on one street, 250 feet on the ...

A: We can solve by cosine law as follows

Q: Find the area of the region between the curves y = x^3, y = -x, and y = 1. Round off to two decimal ...

A: topic- area bounded by curves

Q: Find the value of xg in 3 decimal places (positive root) using Secant Method (8th Iteration) f(x) %3...

A: Let's find. 

Q: (2? + y? + 1) dæ – (æy+ y)dy= 0 - %3D x +1 (x + 1)? Option 1 Option 2 (x + 1)-3 (x + 1)-1 O Option 3...

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Q: 4) Let y(x) be the solution of the initial -value problem y' = cos(x + y), y(0) = 0. Use Euler's met...

A: To find the solution of initial value problem.

Q: 5. radius 2 and whose vertical cross sections are squares. Set up the integral to find the volume of...

A: Solution is written in below steps.

Q: dx and u = 3x-2 1. y 2+1 + 3

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Q: Use the formula for the binomial series: 1+ mr + m(m-1) 2 , 2! m(m–1)---(m–k+1). (1 + x)" = + %3D k!...

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Q: Q4) find the relation between x,y such that the point (x,y) is equidistant from the points * ?((7,1)...

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Q: dx x3 3x². -8(y + 1) = 0 dy y+1

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Q: (s – s2 – t2)ds + (t + s2 +t2)dt = 0

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Q: 3x-4 if-3 SXS4 If f(x) = find: (a) f(0), (b) f(1), (c) f(4), and (d) f(5). x -4 if 4<xs 5

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Q: Solve for the interval of convergence of the power series. Be sure to verify convergence or divergen...

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Q: a sin a + In v ) da + tan adv = 0 cos a |(In v)(sin a) = v cos a – sin a + C In v = a cot a – 1 + C(...

A: This question can be solved by applying the concept of linear differential equation.

Q: el is being dumped from a conveyer belt at a rate of 20m /min and its coarseness is such that it sa ...

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Q: dy 7. dx cos(x + y), when x = 0, y = %3D %3D 4

A: Follow the procedure given below.