Q1 Choose only two: x+5 12+3x - 2. VI

Q: Determine the convergence or divergence of the series. (If you need to use co or -0o, enter INFINITY...

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Q: - 16 if x 5 Determine if the function g(x) = VX + 4 %3D 5 - x a) x = -4 b) x = 5

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Q: Find the indefinite integral. X COS 9TX

A: Given,I=∫ xcos9πx2dxPut u=9πx2Differentiatedu=9π(2x)dxdu=18πxdxdu18π=xdxThereforeI=∫xcos9πx2dxI=∫cos...

Q: 8. The following graph represents the displacement of an object, s(t). i. Sketch the velocity v(t), ...

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Q: Use the square configuration to complete the algebra rule: (a + b)? = a- a+b OUT - - b ----

A: We know that algebraic rule is : (a + b)2 = a2 + b2 + 2(a.b)   Here i attached the solution of this ...

Q: 10. The line y = 5x – 5 is tangent to the graph of f (x) = (x + k)(x² – x) at the point where x = 1....

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Q: 8. in n = 1

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Q: 1. Find the work done by the force F(x, y, z) = (xz, z² – x, y ), along C, the curve defined by x = ...

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Q: (c) 8 26 80 3' 9' 27’ 81 an = (d) 4 0, An =

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Q: sin(In r) 5. Use the Squeeze Theorem to evaluate lim 1-40+ In (sin z)*

A: Solution is given below:

Q: Let f(x) = 2x° + 20x + 3. a. Find the values of x for which the slope of the curve y=f(x) is 0. b. F...

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Q: Find dy/dx. No need to simplify. With explanation

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Q: Find the radius of convergence and the interval of convergence. k(k + 1) k=1

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Q: Find the sum of the convergent series. 1 8- 1+ 8. 64 Submit Answer

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Q: Find the Maclaurin series of the function f(x) = 9x³3 – 10a? – 3x + 10. f(x) = > Cnx" n=0 Determine ...

A: Let's find. 

Q: The principal represents an amount of money deposited in a savings account subject to compound inter...

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Q: TRAN SFER TRANSFER ACTIVITY 2: INTEGRATION THROUGH SUBSTITUTION Direction: Evaluate the following in...

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Q: Evaluate: Il2dxdy using inner limits 0 to y and outer limits 1 to 2. O a. 0.71 O b.0.375 Ос. 3.75 d....

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Q: Write a chain rule formula for the following derivative. dw for w = f(x, y, z); x = g(r, s, t), y = ...

A: Given w=f(x,y,z) x=g(r,s,t) y=h(r,s,t) z=k(r,s,t)  

Q: Q4 Let f : R → R be the function defined by 1 f(x) = a) Is f is one-to-one? If yes, then explain why...

A: topic - onto functions

Q: Compute N(0) if r(t)= and prove that T(0) and N(0) are orthogonal

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Q: Prove: If the characteristic equation of ay" + by' + cy = 0

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Q: If r(5)=0, then which of following must be true? Olimf(x)=0 x+5 f(x)-f(5) -o lim x-5 X-5 fis continu...

A: Here we have given that  f'(5) = 0 We have to find which option is correct.

Q: In(5x-9) lim x2 x3-8

A: For the following limit problem,

Q: A fourth degree polynomial with constant coefficients may have (1) 4 distinct real roots. (1I) 3 dis...

A: Find your answer below 

Q: What is the equation of the tangent line to the curve y = x2 – 2x + 1 at point (3,4)? a. y = -4x + 8...

A: as per guidelines I can only do first 3 subparts

Q: Find dz/dx and dz/dy for: x² sin (y³) + xe32 – cos(z²) = 3y – 6z + 8

A: Here, the given equation is: x2sin(y3)+xe3z-cos(z2)=3y-6z+8...(1) So, z is a function of x and y

Q: What is the y' of y=tan (6x-5)? a. y' = 6 csc2 (6x-5) b. y' = 6 cot (6x-5) c. y = 6 sec2 (6x-5) d. y...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Let R be the region inside the polar curve r = 4 and outside the polar curve r = 4+2 cos 0 as shown ...

A: Consider the figure given below : We need to calculate the shaded area from the above figure.

Q: If y = (2x2 – 1) then what is y'? а. у %3 4x (2x2 -1) -12 b. у - 2x (2x2 - 1) 2 с. У 3 2x (2х- 1) % ...

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Q: In the quadratic equation Ax2+ Bx + C=0 describe the roots when 32 -4AC is negative. The roots are r...

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Q: For the function y =f(x), it was found out that f(c) = 0. What can be said that x=c ? critical point...

A: topic - functions

Q: 2 b.f V1 + x³ dx

A: The given integral is√(1+x3) limit from 1 to 2.

Q: What integration technique can be used to integrate: 5dx V3+ x2 Integration Formulas Trigonometric S...

A: topic- indefinite integral

Q: Determine whether the series is convergent or divergent by expressing Sn as a telescoping sum. If it...

A: Determine whether the series is convergent or divergent by expressing Sn as a telescoping sum. If it...

Q: The functions represent the position of a particle traveling along a horizontal line, s(t) = 3t3 − 2...

A: for time t,t≥0 s(t)=3t3-20t2+48 t -20V(t) =dsdt =ddt(3t3-20t2+48 t -20)V(t) = 9 t2-40 t+48v(t)>0 ...

Q: 2x +1 2x – 3 xp: A (4x - 3) 2+ (2-– 3) +c B D

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Q: Solve the initial-value problem with the initial condition y0 = 0. dy dt = y + 1 y = ‍   Graph the s...

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Q: Given f(x,y)=x2eXy, evaluate fx(3,0).

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Q: Find the interval of convergence of 5 (x - 8)" In (9n) n=2 (Use symbolic notation and fractions wher...

A: Radius of convergence of a series of the form ∑n=0∞an(x-a)n is given  by R=limn→∞anan+1and then inte...

Q: 1.) Explain why the integral below is an improper integral and what two integrals tell us whether it...

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Q: Given the function f and the point Q, find all points P on the graph of f such that the line tangent...

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Q: Evaluate the following integrals. Express the final answer in its simplest form and without negative...

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Q: What is the derivative of f(x) = e&x + 3? a. f(x) = 8e b. f(x) = e8 C. f(x) = 8e8x+3 d. f(x) = 3e&x ...

A: We find derivative of given function.

Q: Graph the integrand and use known area formulas to evaluate the integral: dx

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Q: Which formula is not equivalent to the other two? a.)E (k – 1)? b.)E(k+1) c.)k?

A: To Check : Which formula is not equivalent to other two in the given three formulas

Q: Use the disk/washer method to set up a definite integral (set up only, do not evaluate the integral)...

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Q: Use the definition of the derivative to find the slope of the tangent line to the curve y= 3x^2 - 9x...

A: We have to find the equation of the tangent

Q: Let R be the region bounded by x = 5, y = 3x + 1, y =- 2x + 16. %3D %3D To find the volume of the so...

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Q: (A) Draw the graph of a function that has a secant line with m=3 between x=0 and x=2 , and a secant ...

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