Find a10 for an arithmetic sequence -20, -29, -38, -47... a. -110 b. -101 C. 101 d. 110

Q: Problem 14

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Q: Show that (0,0) is a critical point of f(x,y) = x kxy + y2 no matter what value the constant k has

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Q: State whether the series is geometric or not geometric, and give a reason. (ii) If the series is geo...

A: Series convergence 

Q: Find the limit (if it exists). If it does not exist, explain why.

A: limx→4-x-2x-4

Q: Construct a table of values to investigate the following limits: 10 1. lim r-3 x – 2 2. lim T→1 x + ...

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Q: Provide the table of values in the following. Example is number 1

A: Since you have asked multiple questions, we will solve the first three subparts question for you. If...

Q: Find the volume of the region bounded above by the surface z = 9-y and below by the rectangle R: 0sx...

A: Find the volume of region using double integral

Q: Classify the equation as separable, linear, both, or neither.

A: Given that: dydx+y2=xy2

Q: In Pitot-Tube Experiment, the water level in two tubes h1=11 cm and h2=22 cm. Calculate the velocity...

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Q: What is the point on the curve r(x)=x^2+6 that is closest to the point (3,6)? Enter your answer as a...

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Q: Determine whether the function is even, odd, or neither: (a) f(x)= x* – 3x² (b) g(x) = sin(x + 1) (c...

A: To determine whether the function is even , odd or neither, (a) f(x)=x4-3x2 (b)g(x)=sinx+1 (c) f(x)=...

Q: You are looking for an item in an ordered list 450,000 items long(the length of Webster’s Third New ...

A: Given that ordered list has 450,000 items.

Q: In Problem,find the intercepts of each quadratic function

A: Given,f(x)=3x2-2x-8 We know,x-intercepts are those points on the graph of an equation where it cross...

Q: Sketch the graph of the derivative for function shown.

A: Graph has a horizontal tangent between x=-2 and x=-1, at x=0 and at x=2.9, Therefore graph of f' hav...

Q: Determine whether the following series converge.

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Q: How do i solve this question

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Q: Need help with the following question:

A: Find the nth partial sum

Q: Find the area of the surfaces The portion of the cone z = √x2 + y2 that lies over the regionbetween ...

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Q: True or False Every polynomial function of degree 3 withreal coefficients has exactly three real zer...

A: We know, a polynomial function of degree -n can have at most  n real zeroes. Also, Every polynomial ...

Q: b) Prove that 2 < (1+1/n)" < 3 for all n e N Your answer

A: Solution: Consider the given  2≤1+1nn≤3  for all n∈ℕ Let an = 1+1nn, ∀n∈ℕ Then we have to show that ...

Q: A circle of radius 7 rolls along the y-axis in quadrants Iand IV. Find an equation for the path of t...

A: Given that A circle of radius 7 rolls along the y-axis in quadrants I and IV. That means the value o...

Q: find the absolute maximum and minimum valuesof each function on the given interval. Then graph the f...

A: fx=-x-4,   -4≤x≤1 Differentiating with respect to x, we get f'x=-1-0=-1 Since the derivative is nonz...

Q: Write each expression in the form 2kx or 3kx, for a suitable constant k.  (1/9)2x, ( 1/27)x/3, ( 1/1...

A: The given expressions are  A=192x,B= 127x3,C=116-x2 It is required to represent the above expression...

Q: 3 cos + csc Find the exact value of tan

A: There are 6 Trigonometric functions defined as sine, cosine, tangent, cosecant, secant and co-tangen...

Q: A truck enters the off-ramp of a highway at t = 0. Its position after t seconds is s(t) = 25t − 0.3t...

A: Given- A truck enters the off-ramp of a highway at t = 0. Its position after t seconds is st=25t-0.3...

Q: In Exercises 43–54, solve each absolute value equation or indicate the equation has no solution. 43....

A: Solution:Given43.x-2=744.x+1=545.2x-1=5Formula:x=a⇒x=±a  

Q: Differential equations Hyperbolic functions are useful in solv- ing differential equations (Section ...

A: Given, y=A sinh(kx) and y=B cosh(kx)Where A,B and k are constants Our Aim To satisfy Equation y"(x)-...

Q: 86 fos what valus of a,m, b does the functim f(x)= |フトフ0 mx tb てうxラ」 Satis fy the lagrange's mean va...

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Q: Given the parametric curve and value of t x(t) = 2 + sec(t), y(t) = 1+ 2 tan(t), t = answer the foll...

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Q: Determine whether each improper integral is convergent or divergent, and find its value if it is con...

A: We have to Determine the each improper integral is convergent or divergent. ∫1∞dxx5=1-4x41∞         ...

Q: The velocity components in the x and y directions in terms of stream function w is given by

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Q: For the function f defined by f(x) = x2 - 4x + 1,

A: Given function: fx=x2-4x+1

Q: 4-7

A: Given:                 Question 4: F(s)=2s2(s+4)                 Question 5: F(s)=1s(s-1s+1)        ...

Q: Find the parametric equation of the line through the point ?(3,−2,1) parallel to the line ?=2−2?, ?=...

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Q: 2-4 LiA 1 *-x tim メクタ Lim tメ+サラ= 2+2= 4 メ→2

A: Evaluate limx→2x2-4x-2.   Let fx=x2-4x-2. Calculate f2. f2=22-42-2=00                       Indeterm...

Q: 2-4 .4. LiM メマ2

A: Given: limx→2x2-4x-2 The objective is to solve the function.

Q: Problem 21

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Q: 3. Interpret the slope of the line.

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Q: Evaluate the double integral over the given region R. yx cos x dAR: - 3sys3, 0sxsA R yx cos x dA = R

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Q: An equation of the form y 5 k where k is a constant represents the graph of a ______line

A: Your answer is Straight line. Because We know the equation of straight line is Y= mx  

Q: What is meant by planimeter?

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Q: For which values of a does the conic 3x^2 + 2y^2 − 16y + 12x =a, have at least one point?

A: Consider the given: 3x2+2y2−16y+12x=a3x2+12x+2y2−16y=a3x2+4x+2y2−8y=a3x2+4x+4−4+2y2−8y+16−16=a3x+22−...

Q: Using only this information, sketch the graph. f (x) = 2x3 - 15x2 + 36x - 24

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Q: Elasticity of Demand Researchers found the demand for milk in Mexico for a particular year can be es...

A: Implicit differentiation is a type of differentiation in which each side of the equation is differen...

Q: 2 2 6. 2х 2x)dx 1

A: Integrate using basic concept of integration and put the limit than simplify.

Q: In Problems 69–76, (a) find the intercepts of each equation, (b) test each equation for symmetry wit...

A: 69. Given  The equation is y=x2-5 .

Q: Secant Lines Consider the function f (x) = 6x  x2 and the point P(2, 8) on the graph of f. Graph f ...

A: fx=6x-x2 and the point P2, 8 on the graph of f. Now when x=3, f3=63-32=9 Therefore secant line passe...

Q: Evaluate dx f(t) dt and * f(t) dt, where a and b are constants.

A: To evaluate: ddx∫axft dt and ddx∫abft dt, where a and b are constants. Solution: The fundamental the...

Q: Find the definite integral.

A: The given integrand is, fx=-sinx. The limit of the integration is, -π to 2π3. The objective is to fi...

Q: In Exercises 33-38, use Descartes's Rule of Signs to determine the possible number of positive and n...

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.