Solve the following systems of equations. Sketch their graphs and identify the intersection points in the graphs 2x + y = 9 1. + 6x +5 %3D

Q: Find the value of the derivative (if it exists) at each indicated extremum. (If an answer does not e...

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Q: Let a = ci + jand b = 4i + 3j. Find c so that the angle between a and b is=. Round your answers to f...

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Q: what is the smallest positive integer greater than 1 that divides the number 7^2021-13^2021

A: here 7×2021-13×2021  =2021(7-13)                                       =2021(-6)                    ...

Q: 5x2 + 20x + 6 dx x3 + 2x2 + x 3.

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Q: Determine if the series comverges or diverges. If the series converges, find its sum. If it Σ 4n 4(n...

A: This is a problem related to series and sum calculation Based on the available method we will find o...

Q: Solve the following differential equations of Linear Differential dy Equation y– 2x . dx =x(x+1)y

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Q: Solve the inequation 1 1 x - 1 4 and enter the solution set in the box below as an interval. For thi...

A: 1x-1<-14  

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) = t/...

A: The given function,     gt=t5-t, t<4

Q: Given f(x) = -2x + 4 and x = 3r ln (4s). Find fr (5, 3). Give your answer correct to two decimal pla...

A: Given; f(x) = -2x + 4 and x = 3r ln (4s).

Q: Find the absolute extremd of the on the closed interval. 6x2 g(x) (-2, 1) X - 2 minimum (x, y) (smal...

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Q: Q22 coordinates of a point Sammy is given the cartesian (-1,-53), He lp Sammy find polar coor dinate...

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Q: a) sin ) co () - c) tan 4) cot (- *) - ) me (- *) - sec

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Jsing the Binomial Theorem, show that

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Q: 3. U sin g Derivative Product rule 3. (x + 6) (x + 5); 4. 4x² (x – 1)

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Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid generate...

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Q: (2x² + 3) dx (x² + 1)2

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Q: Using a calculator, complete the table and use it to estimate the indicated limit if it seems to exi...

A: limit

Q: Use Newton's method to approximate a root of the equation 3x+ 8a* + 2 = 0 as follows. Let 1 1 be the...

A: By using Newton's method to approximate a root of the equation 3x7+8x4+2=0.

Q: Determine whether the series is conivergent or

A: Given ∑n=1∞(-1)n-1nn+2  

Q: Use sigma notation to write the sum. 5 5 5 4 + 1 4 + 2 4 + 3 4 + 12 Σ

A: By using sigma notation to write the sum.54+1+54+2+54+3+...+54+12  

Q: Find (f1) (3) if f(x) = x³ + x + 1. 3 (f-1) (3) = (Simplify your answer.)

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Q: Consider the differential equation dy = y +t. dt Given that the general solution to the DE is y(t) =...

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Q: (ii) Solve x(2z – 3y)p + y(3x + z)q + yz + 2xz = 0

A: We simplify the given expression using  distributive property which is a(b+c) =ab+ac.

Q: Find the area of the triangle with vertices P(1, 6, –6), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the ex...

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Q: Given f(x, y) = In Vay³. What is the value of fy (1, 2)? If the answer is a fraction, write your ans...

A: Given:  fx, y=lnx2y3 To Find:  To determine the value of fy1, 2.  

Q: Q2: Sketch the polar function r = 6 cos 30 ,-n <0 < T

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Q: The equation of the circle is X² +Y? = 11 what is the center of this circle (11,11) (2,0) 3 4 خيار 6...

A: Center of Circle Formula The center of circle formula is also known as the general equation of a ci...

Q: 10. J =-2x+1)a dx Learning Task 3: Complete the table by identifying u and du for the integrals. Not...

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Q: For the given functions, find the domain, range and sketch the graph: 1. y = (2 + 3x)/(x – 1) ------...

A: We have to find domain,range and graph

Q: Given the equation y² + z² – æy – 3 = 0, determine y'. 2xy-y 22-2y 2-y z-2y

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Q: Q1: Convert the polar function to Cartesian function in the form f(x,y) = 0? cos 0 + sin e r = cos20...

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Q: computes curve length for 0

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Q: Use left endpoints and 6 rectangles to find the approximation of the area of the region between the ...

A: Let's find. 

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| = ...

A: Let V = a•u =(a,a) Then, put |v|=6 and find value of a.

Q: If cos(0) and 0 is in the 3rd quadrant, find the exact value for sin(0). COS

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Q: 1 2 3 v(t) 30 50 40 60 The table above gives the velocity v(t), in miles per hour, of a truck at sel...

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Q: Consider a, B, t/= 0. A possible graphical representation for the plane of equation Bx + ay +t = 0 s...

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Q: 3. A savings account earns a 4% annual rate, compounded continuously, and $500 per year is withdrawn...

A: It can be solved as follows:

Q: 1. Evaluate: 00 e3z . Te + e5rjz dz

A: I am attaching image so that you understand each and every step.

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) = t/...

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Q: If the first term of an AP is -10 and the common difference is 2 At which term will the value equal ...

A: an = a + (n-1)d  Here a =-10. , d = 2 and an = 0  Then find n 

Q: Find the vector component of v = 2i – j+ 3k along b = 6i + 6j + 7k and the vector component of v ort...

A: I am attaching image so that you understand each and every step.

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: a. Solve the following inequalities and write the solution in interval form i) 212x+7기 +224

A: This is a problem related to linear inequalities. Based on the concept of modular function we will a...

Q: Let an​ be an arithmetic progression, for which a2​=5 and a1​=−11. Find the difference of the progre...

A: The objective is to find  the difference of the progression.

Q: Find the area of the triangle with vertices P(1,6, –6), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the exa...

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Q: Determine whether the series is convergent or divergent.Write the exact test that you Use. 00 2. n=1

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Q: Use left and right endpoints and the given number of rectangles to find two app g(x) = 2x2 - x - 1, ...

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