Write each of the following in Sigma notation: 1 7. 1 1 1 1 6. 3 + 6 + 9 + 12 + 15 1?* 2* 32

Q: find the slope of the tangent line to the graph of flx)= 2x at (5,3).

A: NOTE: Refresh your page if you can't see any equations. . to find the slope of the line, take the d...

Q: If x + y* + z - 2z = 1, then a) None of these b) 3x²+4y3 2-3z2 c) 4y3 2-3z2 d) 4y³+3z? 2

A: Given query is to find indicated derivative.

Q: Let an = e4/n (a) Does the sequence {a,} converge or diverge? If it converges, find its limit. If it...

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Q: Please answer with solution help

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Q: Graph 1 Graph 2 Graph 3 8 -6 4 -6- Function? OYes ONo OYes O No OYes O No Graph 4 Graph 5 Graph 6 Fu...

A: We have to determine all the graph are graph of functions or not

Q: ) Sketch the region of Integration and write an equivalent polar integral. Then evaluate the polar I...

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Q: Find the value of x that satisfies the following equation (2x – 5yi) + (y + xi) = 8-7i В. 4 А. 2 С. ...

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Q: ind the solution to the initial-value problem. y' = −6x tan(y), y(0) =  ? 2 y

A: To find the solution of initial value problem

Q: Let y =(f(x) + 5x2)4 and suppose that f(−1) = −4 and dy/dx = 3 when x = −1. Find f‘(−1).

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Q: Find the Maclaurin series and corresponding interval of convergence of the following function. 1 f(x...

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Q: Suppose F (x, y) = (2xe-", 2y – a²e="} (a) Find a scalar function f (x, y) such that F = Vf (b) Use ...

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Q: Find the terms through degree 4 of the Maclaurin series. f(x) = 5e* (Express numbers in exact form. ...

A: Maclaurin series :    f(x) ≈ ∑k=0∞ fk(0)k! xk = f(0) + f'(0) x + f''(0)2!x2 + f'''(0)3!x3+... du.v.w...

Q: 5. lim tan r 6. lim cos r 7. lim sinr

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Q: Expand the function in a power series E a„x" with center c = 0. Find a,x". 7+6x n=0 (Express numbers...

A: Radius of convergence of the power series ∑n=0∞anxn is given by, R=limn→∞anan+1 The series ∑n=0∞1np ...

Q: Given 3y = x^3 + 3x^2 - 9x + 3, Find the relative extrema of f by applying the second-derivative tes...

A: Given ,  3y=x3+3x2-9x+3. Let y= f(x) Above equation can be written as     y=x33+x2-3x+1     or   f(x...

Q: log 21.1 = 0 In V = 0 11

A: log(21.1) = 1.3242824 So, on rounding off, it will be 1.324

Q: The polynomial function f(x) is graphed below. Fill in the form below regarding the features of this...

A: Graph

Q: The points A(1, 0, 2), B(2, 0, 1) and C(1, 2, k) from a triangle of area √6. Determine the value(s) ...

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Q: 12 sin°(z) dr: C is any closed curve -dz enclosing 7/6 (a) Ic 6z – T -

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Q: X2 X1 b) x, 2 x, ; - x, + 2.x, 2 2 a) x, 2 2x,; - x, +2.x, <2 c) x, Sx,; -x, +2x, 2 2 d) x, <x,; - x...

A: Consider the figure given below :  

Q: answer a(v)

A: Topic:- complex number

Q: Use the method of partial fractions to evaluate each of the following integrals. dx 206 J-10x² +9

A: Given:   ∫1x4-10x2+9dx

Q: 1. Given y = log3 9. The value of y= %3D 2. If log(r + 2) = 4, then the value of r is %3D 1 3. If lo...

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Q: 6, Solve the IVP 3w" -u'+ 2u0. u(0) = 2, u'(0)-0

A: The given equation is; 3u"-u'+2u=0, u(0)=2,u'(0)=0

Q: Find the derivative of the function using the power rule. (a) f(x) = 3/5x5 − 4x −4/3x-3 (b) f(x) = x...

A: a) f(x)=35x5-4x-43x-3 f'(x)=ddx35x5-4x-43x-3       =35ddx1x5-4ddxx-43ddx1x-3        =35ddxx-5-4-43dd...

Q: Essential Question How do you evaluate cube roots and square roots?

A: Asking: show all thr details step by step to finding cube root and square root. 

Q: (х-2)" n=' (n+1)3" 00 a.

A:

Q: (a) f(x) = (2x – 1)*(3x – 2)³ (b) f(x) = [(x – 3)(5x + 1)]³ (c) f(x) = Vx cos ((3x + 2)²) %3D CoS (d...

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Q: what is cos(tan^−1(−1/2))

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Q: Take p and q are primes and p=3mod4 and q=3mod4. Take n=pq such that an integer z has a square root ...

A: Given that Take р and q are primes and p=3mod4 and q=3mod4. Take n=pq such that an integer z has a s...

Q: Given: sin A = and cos x = - 12; evaluate the following expression. %3D (8: Quadrant I, x : Quadrant...

A: We can find the answer as below.

Q: R. S3 H.S X1 X2 X3 S2 -4 -3 12 2 4 3 2 9 4 1 4 A simplex Tableau for a linear programming model wilh...

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Q: 10 (4) Find the repulsive fixed point of g(x) = +3

A: Solve the equation, x=g(x) for x to obtain the fixed point (s), xp If g'(xp)&gt;1, then xp is repuls...

Q: 1 dx x /1 – (In x)² 1

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Q: Determine whether the series converges. 1 k=l Vk + 6 The series diverges. O The series converges.

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Q: In 2010, 1250 U.S. college students expecting to graduate in the next several years were surveyed. R...

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Q: Find the Area of the region enclosed by Y=JT +1 and y=X, and y-axis (sketch)

A: This question is based on application of integration.

Q: Find a polynomial P(x) with real coefficients that satisfies the given conditions. Degree 3; roots i...

A: NOTE: Refresh your page if you can't see any equations. . the first root is x=3+i so the second root...

Q: Given x = 60°, tan š can be rewritten as which of the following? 1- cos 60 1- 2 sin? 60 1- cos60 tan...

A: We can find the answer as below.

Q: Solve the following differential equations by using integrating factor dy/dx − 2y = e2x ; y(0) = 1

A: Here, the given DE is: dydx-2y=e2x...(1) y(0)=1 Comparing (1) with dydx+P(x)y=Q(x), P(x)=-2 &amp; Q(...

Q: Given f (x)= (x^2) (e^-x) , find the relative maximum and relative minimum point respectively.

A: We will use derivative to find maximum and minimum value for the function. If f(x) is a function. Th...

Q: Consider the following functions. f(-3) = 14 and g(-3) = -11 Step 4 of 4: Find |(-3). Answer How to ...

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Q: d²s dt2 sin 3t + cos 3t |

A: In this question, we need to find s.

Q: a) State if the following are True or False. You need not show any working. (i) z = 2 – 2i has magni...

A: To state whether the given statement is true or false.

Q: 3. Find the value of the directional derivative at the particula point Po for the given function in ...

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Q: 19. Consider the parametrization of the unit circle given by c(t) = (cos t, sin t). (a) Verify that ...

A: We have to verify that c is parametrized by arc length and show that the curvature k of c is constan...

Q: Find the x-values of all points where the function has any relative extrema. Find the value(s) of an...

A: Solution is given below:

Q: h) f(x) = Write your answer in simplified factored form. %3D

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Q: Consider the following functions. f(-3) = 14 and g(-3) = –11 Step 1 of 4: Find (f + g)(-3).

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Q: The sin*3udu is equal to 3 А. — и + 1 - sinбu 12 1 -sinбu + 12 1 -sinбu + 12 1 -sin12u + C 96 1 sin1...

A: