Please illustrate the difference between a function being continuous and differentiable by presenting at least two functions that are continuous but not differentiable for at least one value of their domain.

Q: Evaluate the integral. 3 X-4 xp. 11 +7

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A: Explanation of the answer is as follows

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Q: 1. The number of accidents (y) in millions for drivers of age (x) was predicted by an insurance comp...

A: Solution of question is written in below steps.

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A: Explanation of the answer is as follows

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Q: Let T = x²y - xys + 6x, where x = r cos 0 and y = r sin 6. Use the chain rule to find dT/00.

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Q: 2 4 | 6x V1+4x dx

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Q: az az and as Use the chain rule to find at (=) Z = tan V u = 8s + 5t, v = 5s – 8t az as az at

A: Topic:- derivatives

Q: 2. For g(x) = cos³ (2x - 1), find g' (#). %3D –

A: topic - derivative of a function

Q: Obtain gencral rolUto n Cxy) dx+ Cxty*) ay=0

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Q: Use the Root Test to determine the convergence or divergence of the given series or state that the R...

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Q: Determine the vertical asymptote(s) of the graph of the function. x+9 4) f(x) = 7x + 9x - 10

A: We have to find out vertical asymptote

Q: Find the equation of the tangent line to the graph of the given function at the point with the indic...

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Q: Use the root test to determine whether the series converges. If the test is inconclusive, then say s...

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Q: Let ro = -a; xi = 0; and x2 = a. Compute the interpolation polynomial for f(x) = -r* using Lagrange ...

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Q: g(x) = 2x - 4 be two functions. Find the inverse function for g(x) = 2x - 4 A) x = ½ y + 2 (B) y = ½...

A: Given query is to find the inverse of the indicated function.

Q: A particle moves along the x-axis such that at any time t > 0 its position is x(t), its velocity is ...

A: Explanation of the answer is as follows

Q: Consider the series 11 Determine whether the series converges, and if it converges, determine its va...

A: Use the ratio test for checking the convergence of series.

Q: Find the domain and range of the function h(x, y) = 3\/3y – 12x². %3D

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Q: 3) = + sin (4) r = y(In y- In r+1)

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Q: Distinguish Maxima Problem from Minima Problem.

A: Follow the steps given below.

Q: 4. (4x2 - y?)dx - xydy = 0

A: Let's find. 

Q: Use logarithmic differentiation to find the derivative of the function. y = x4 sin(x)

A: We know that logrithm property is  ln(xm) = mln(x) And derivatives of d(lnx)/dx  = 1/x    Here i att...

Q: Determine the particular solution. (y² + 7xy + 16x²)dx+ x²dy = 0° ×=1, y=1 O 5(y+4x) = *-y In(x) O 5...

A: Let's find. 

Q: Determine the particular solution. [xcos2 – y]dx + xdy = 0' ×=1, y=r/4 tan(y/x) + In(x) = -1 O cot(y...

A: Given the differential equation is x cos2yx-y dx + x dy = 0;  x=1, y=π4

Q: write the equation in spherical coordinates a) 3x2 − 4x + 3y2 + 3z2 = 0

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Q: stion e graph of the function to find its domain and range. Write the domain and range in interval n...

A: Given query is to find the domain and range of the graph.

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Q: point P is on the unit circle. Find P(x, y) from the given information. The x-coordinate of P is 15/...

A: Given query is to find the coordinates of point P 

Q: You have the graph below of the function z = f (x,y). Figure out whether the partial derivatives giv...

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Q: Task: Find the general solutions of the following differential equations 1. 2x(y+1)dx + ydy = 0

A: 2xy+1dx+ydy=0

Q: Suppose that a company's sales volume y (in thousands of units) is related to its advertising expend...

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Q: H.W: Evaluate the integral 3. -4y)dydx x*ydxdy 1 -1

A: ∫xndx=xn+1n+1

Q: Approximate cos(91∘) by using a linear approximation of f(x)=cos(x) at x=π2. Give your answer round...

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Q: A particle moves along the x-axis such that at any time t > 0 its position is x(t), its velocity is ...

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Q: Let I be the flux ofG = (5e", 7x e,0) through the upper hemisphere S of the unit sphere. (a) Find a ...

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Q: If x³ + 4x³y? = x – y³, find dy/dx. 3,2 | dy %D dx

A: Here we have to find the implicit differentiation.

Q: Use linear approximation to estimate the following quantity. Choose a value of a to produce a small ...

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Q: You have the graph below of the function z = f(x,y). Figure out whether the partial derivatives give...

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Q: )dx = (x + Jxy)dy O Not homogeneous O Homogeneous

A: This is a problem of differential equation. Homogeneous differential equation has same degree  of va...

Q: 1. lim In (x –9) 2. lim log, (8x-x*) x3* x-2" 3. lim In (cos x) 4. lim In (sin x)

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Q: 8. k! k k=1

A: given series ∑k=1∞ k!k3

Q: The rectangles in the graph below illustrate a right endpoint Riemann sum for f(x) = + 2x on the int...

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Q: farmer who owns a field adjacent to a straight river wishes to fence a rectangular area. No fence is...

A: Given query is to find the dimensions of the rectangle.

Q: Find a function f(x, y, z) such that Vf is the constant vector (4, 8, 2). (Use symbolic notation and...

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