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Q: Consider the limit 20. (ze/* - a). z05/= - a). a) What type of indeterminate form is this? O 0.00 O ...

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Q: Find the vector component of v = (4, – 1, 7) along b = (4, 8, –8) and the vector component of v orth...

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Q: Let v = (3, –5, 5). Find a unit vector in the same direction as v.

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Q: ple plot A modern window has the shape of a rectangle topped by an equilateral triangle as shown in ...

A: For the solution follow the next steps.

Q: Every power series converges at x=0. True or false.

A: Let us consider a power series with radius of convergence R, then interval of convergence of this se...

Q: Evaluate the following limits:  lim x→0 sin(3x)/5x^3-4x

A: limit

Q: Select the basic integration formula you can use to find the indefinite integral. dt du Va? - u? du ...

A: The given integral,∫61-t2dt

Q: Use implicit differentiation to find y". y2 - x² = 6

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Q: Evaluate: S (In(2æ – 1) – (5) + 25 ) dx - Limits: [1, 6] Using Trapezoidal, n = 30

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Q: ind the intervals where f(x)= x3-2x2+8 is increasing and the intervals where it is decreasing

A: Given query is to find the interval where f(x) is increasing and decreasing.

Q: If $P is invested for n years at 12% compounded continuously, the future value that results after n ...

A: Solution: a)  Given the future value S=Pe0.12n  

Q: Is the solution correct? Question: 8, E(-1)" (n + 1) x" (converges for -1 < x < 1) to find a series ...

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflect...

A: Given problem:-

Q: (A v B) -> "C CvD

A: If A and B are statement variables , the disjunction of A and B is A v B , which is read " A or B "....

Q: Let f(x)= (2x-3)/(x-3). Find the interval(s) where f(x) is concave up, and the interval(s) where f(x...

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Q: Decide whether the sequence can be represented perfectly by a linear or quadratic model. 8,14,24,38,...

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Q: III. Find dy using implicit differentiation. d.r sec"(ry) = (cosh r)(tanh z+v5) + 2 csc-' (tan(y+ 1)...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). %3D v (0, 24) %3D a = %3...

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Q: Mr Lim's monthly salary is $2500. Every month, he spends a certain amount and saves the rest of the ...

A: total salary = $2500let original spent amount be denoted by "x"spent +saving =total salarysaving = 2...

Q: Suppose f is a function such that f'(7) is undefined. Which of the following statements is always tr...

A: This question can be solved by applying the relation between continuity and differentiability of a f...

Q: Let f(x)= √2x^2+2x+5 f'(x)= f'(2)=

A: Given fx=x2+2x+5 To find f'(x) &amp; f'(2):

Q: 3sin-1x, if -1< x< 0 f(x) = x2+ Tt if x20 x+cosx'

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Q: Find the indefinite integral and check the result by 3/2 + 4x + 6) dx

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Q: The spread of a virus can be modeled by the following function where N is the number of people infec...

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Q: How far from the x-axis is the centroid of the area bounded by the curve y = 8x, the y-axis and the ...

A: Solution is given below:

Q: Evaluate the integal pastial fraction decomposition 56

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Q: Solve the recurrence: an= 2an-1+ 4n-1, ao=1

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Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the volume ...

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Q: 1. log4x =-2 3. log3x + log;9 = 1 4. logzx + logz(x – 6) = 4 %3D 2. 4 + 3 log x = 10

A: Topic:- Algebra

Q: Consider f(x)=tanx a. Find the linear approximation of f(x) at a=pi/4 b. Use this to estimate tan(...

A: This question can be solved using the formula of linear approximation.

Q: 6. y' – y = e* 8. 4x'y + x*y' = sin’x %3D

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Q: 2(-1)n-1_ (2n)! (n!)2. 2n n=1

A: solution:-∑n=1∞-1n-12n!n!2.2nan=-1n-12n!n!2·2nan+1=-1n2n+1!n+1!2·2n+1Applying the ratio testL=limn→∞...

Q: V: replace the following polar equations by equivalent Cartesian equation, then describe or identify...

A: Find your answer below 

Q: Find the volume of the solid generated by revolving the region bounded by the graphs the first quadr...

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Q: tion 4x + 200 A garden shop determines the demand function q = D(x) = during early summer for tomato...

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Q: A. Directions: Use the figure below in naming four pairs. 12 2 11 3 10 4 9 5 8 1. alternate interior...

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Q: Find the derivative of f(x)=x^2 e^2.5x

A: Given problem:- Find the derivative of f(x)=x2 e2.5x

Q: S tan36x sec106x dx

A: I=∫tan36xsec106xdx=∫tan26xtan6xsec106xdx=∫sec26x-1tan6xsec106xdxLet sec6x=u       6tan6xsec6xdx=duI=...

Q: In the following, assume all matrices involved (and their combinations) are square and invertible. S...

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Q: Find the equation of the tangent line to the following curves at a given point. 1.y=5x^2-7  at x=1

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Q: y? 1 25 x2 49 and y(2) = 5 V5, find y'(2) by implicit differentiation. /(2)

A: Given query is to find indicated derivative.

Q: Let n and m be positive integers. Evaluate >(km+1 – (k – 1)m+') if possible. If not possible, k=1 ex...

A: Write the terms one by one and add them. 

Q: A circle is defined by x + y = 9. The area bounded by circle and y-axis on quadrant II and III is re...

A: The center of the circle is (0,0). And it is symmetrical to the origin. The portion on quadrant II a...

Q: s.cloud/modules/unproctored les A bicycle with 20-inch diameter wheels is traveling at 14 mi/h. Find...

A: A bicycle with 20 inch diameter wheels is traveling at 14 mi/h. Find the angular speed of the wheels...

Q: The future value that accrues when $500 is invested at 5%, compounded continuously, is S(t) = 500e0....

A: topic - functions and derivatives

Q: Find a particular solution y, of the differential equation: 2y" + 4y' + 7y = x2

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Q: For solving the following recurrence relation, how many initial conditions are required? c(n) = c(n-...

A: The given recurrence relation is: c(n)=c(n-1)+n*c(n-2)+(n-2)*c(n-3)+(n-3)*c(n-4)+2...(1)

Q: Lake Taal has a volume of 458 cubic km, and its rate of inflow and outflov are both 175 cubic km/yea...

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Q: use mathematical induction to prove the formula for all integers n ≥ 1. 1+6+11+16+•••+(5n-4) = n/2(5...

A: Solution is written in below steps.

Q: Find the area of the triangle with vertices P(1, 3,-6), Q(0,0, 0) and R(2, 4, 1). NOTE: Enter the ex...

A: P(1,3,-6), Q(0,0,0) , R(2,4,1)PQ= Q-P = (0-1,0-3,0+6) = (-1,-3,6)PQ= (-1,-3,6)PR= R-P=(2-1,4-3,1+6) ...