Choose the correct equation for the graph: 1 -21 -Зл 37 .2 2 2. -1 -2 2.

Q: Solve using alternating series

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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: Express what you have learned in this lesson by completing the sentences below. Use a separate paper...

A: To fill the blanks for limits of the function.

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Q: Match each range of angles with each inverse trig function. acrsin x csc arccos x sec-x cot 1x: arct...

A: Here we will see the correct range of each inverse trig. function,

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A: Note: - Since you have asked multiple question, we will solve the first question for you. If you wan...

Q: Let 5n + 14n b, = 3n2 a, = 3n-5n2 - 19' Calculate the limit. (Give an exact answer. Use symbolic not...

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Q: the series using any appropriate test from this chapter. Identify t t with the p-series

A: We have to choose the correct  options according to the given information

Q: Consider the series 00 (x – 6)6 + 4. 3! (x – 6)8 + 8.4! (x – 6)4 Σ а, 3 (х — 6)2 + + 2· 2! n=no Find...

A: N0=1 to infinity in summation  

Q: 2) a. The graph ofthe function f(x) = ax²+ bx + c has the y- intercept of 3, and its tangent at the ...

A: Let's find. 

Q: Find the solution of the differential equation that satisfies the given initial condition. dp/dt = ...

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Q: whether the geom 08. (-7)" – 1 Σ 8" n = 1

A: Solution is given below:

Q: Find F'(x) if F(x)= e^(-x^2) * x^(sin(x^3)) Use logarithmic differentiation

A: topic - logarithmic differentiation

Q: What is the equation of the tangent line and the normal line to y = x2 – 4x + 2 at (4,2) respectivel...

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Q: - Apply the eigenvalue method to find the general solution of the given system. Find also the corres...

A: Find your answer below 

Q: 1. Find the general solution of (y? – 1) = 4xy? dx dy 2. Find the solution of dx e2x+y that has y = ...

A: Using variable separable. Then integrate it .  According to guidelines we solve only first three par...

Q: Determine convergence or divergence by any method. Š (-1)"n n=0 Vn2 +5 The series diverges, since li...

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Q: Given the vector u = - 6i – 3j, find the magnitude and angle in which the vector points (measured co...

A: Here we will find the magnitude and direction of given vector,

Q: Find terminal point Q of vector PQ =    <9, −2, 1>   with the initial point at P(...

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Q: tanwdw The is equal to 1- tan?w

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Q: Question 1 xcos (2r²+7 )dx A -sin (2x²+ 7) + C B 4sin (2x²+ 7) + C B - 4sin (2x²+7) +C D - sin (2x²+...

A: Given :∫xcos(2x2+7)dx

Q: Find the absolute maxima and minima of the function on D, where D is the closed triangular region wi...

A: Maxima minima

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

A: Solution is given below:

Q: b. Si x-2ª 3 1

A: ∫13dxx-2    =  [ lnx-2 ]13   =  ln|3 - 2| - ln|1 - 2| =  ln |1| - ln |-1|   =  0 - 0  = 0 

Q: Use the 2016 marginal tax rates to compute the tax owed by the following couple. A married couple fi...

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Q: se separation of variables to find the general solution. (Use C for the constant of integration.)  ...

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Q: Find an LU decomposition for the coefficient matrix and hence solve the system of equations xị -2x2 ...

A: We can write the given equation as:  1-231-121-13-613x1x2x3=7-313 The coefficient matrix is: A=1-231...

Q: Find the solution of the differential equation that satisfies the given initial condition. dL dt = k...

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Q: Integrands involving quadratic expressions |4x2 — 12х + 5 dx

A: Let I=∫4x2-12x+5dxTake 4 as common I=∫4(x2-3x+54)dx I=2∫(x2-3x+54)dxI=2∫(x2-232x+322-322+54)dxI=2∫x-...

Q: What substitution should be used to solve the integral x²dx 4-9x2 sinu=3x/2 O sec u =2x/3 O sec u =3...

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Q: 5. Prove the following identity 1- cos x tan? %3D 1+ cos x

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Q: Find the derivative of x3tan2x 2x sec2x+3x?tan 2x 6x²sec²2x 3x?tan2x+6xsec²2x 2 xtan2x - 3x²sec²2x

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Q: a. Use the definition m,an = lim f(x) - f(a) to find the slope of the line tangent to the graph of f...

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Q: If Ax) = x² + 3x – 2 and g(x) = X+2 then g(f(-1)) is equal to 6.

A: The objective of the question is evaluate the value at the given functions of composition.

Q: 2π ||미 = 4, ||v|| = 16, 0 = 3 %3D %3D %3D

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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: Question 4 x³dx (x²+2) ³ 1 A 2(x²+2) ' 2(x²+2) ? 1 1 В 2(x²+2) 2(x²+2) ² 1 +C 4(x²+2) ' 2(x²+ 2) 2 D...

A: Here, the given integral is: I=∫x3(x2+2)3dx⇒I=∫x2x(x2+2)3dx...(1)

Q: (x – y)² = 2ax, find the y'if a is a constant x+y a. a-x-y a-x-y b. x+y x+y+a C. x-y x-y-a d. x-y

A: Differentiating the expression with respect to x

Q: - 3x + y = 6 ax + 2y = 4 In the system of equations above, a is a constant. For which of the followi...

A: Given :-3x+y=6ax+2y=4

Q: 55. A cardboard box without a lid is to have a volume of 32,000 cm³. Find the dimensions that minimi...

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Q: (b) Suppose $2,100 is borrowed and the interest is compounded continuously. If A(E) is the amount du...

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Q: n/4_sec²x a. Jo dx 1-tanx

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Q: Evaluate the following indefinite integral using a table of integrals. Use C for any constant of int...

A: First we put x6=t and differentiate both sides with respect to t and find the integral.

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: Given:       Polar curve r=4                         r=4+2cosθ     Area between the curves on an int...

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: cot a 1. lim -0- CSC 3 2. lim e2r - 4 3. lim ln 2 r - ln 2

A: To evaualte the following limits by L'Hospital's rule. 1 limx→0- 1-cot xcsc x2 limx→+∞ 1-3x2x3 limx→...

Q: Discuss the solution of piven ODE in form of table x* - y ;y(0) = 1 take h = (0.05 in the interval [...

A: Using euler method. 

Q: 5 2x + 4

A: Given that a function f(x)= 5/(2x5 + 4). We find first , second,and third derivative of this functio...

Q: Find dy/dx for: y= x2 cot x

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Q: Sy sin 3ydy

A: