(cos n) cOs n) Find the limit of the sequence an 6n

Q: Absorption of Drugs The concentration of a drug in an organ at any time t (in seconds) is given by x...

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Q: dy Then find the slope of the curve at the given point. dx Differentiate implicitly to find 3x - 5y ...

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Q: A sector with central angle ? is removed from a circle with radius 12 inches. The  edges of the rema...

A: To find the value of central angle at which volume of cone becomes maximum.

Q: What three points are on the line L: vector r= (2,-5) + s(2,1), sER

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Q: 3. In the differential equation (y -x -4r-1dy + 2y(x+y+2)dx = 0, 心

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Q: Given x+y+z=5 and Po(2,1,2), find the following. (a) Find the equation for the tangent plane at the ...

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Q: Consider the following. u = -7i - 2j – 4k, v = 4j + 4k (a) Find the projection of u onto v. -3j – 3k...

A: Let's find. 

Q: Determine whether the plane passes through each point. x + 2y – 4z – 1 = 0 (a) (-5, 1, -1) O Yes O N...

A: The given plane is x+2y-4z-1=0   ........................... (1)

Q: O f"(x) 0 for all x f"(x) > 0 for x > 0

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Q: Limit of a Function; Basic Calcalus Supplementarg Problems Using tables of values, determine (a:) li...

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Q: The line that passes through the points (4, –2,0) and (1, 1, 1) is parallel to which vector? Check a...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: To find the parametric equation of a line that passes through a point (-4,0,2) and is parallel to th...

Q: 00 3n + 1 Consider the series Evaluate the the following limit. If it is infinite, type "infinity" o...

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Q: Determine whether each point lies on the line. ......e x = -4 + t, y = 4t, z = 3 + t (a) (0, 16, 7) ...

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Q: Find all the local maxima, local minima, and saddle points of the function. 2 f(x,y) = x - 4xy +y + ...

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Q: Let a = ci + jand b = 7i + 35j. Find c so that a and b are orthogonal. C = i

A: Dot product of two vectors

Q: Find the area of the triangle with vertices P(1, 5, –5), Q(0,0,0) and R(2,4, 1). NOTE: Enter the exa...

A: As we know that; The expression for area of the triangle △PQR in vector form is: A=12PQ→×PR→   The g...

Q: Find two vectors in opposite directions that are orthogonal to the vector u. (The answers are not un...

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Q: dy at the point (1, ). dx nt) For the equation given below, evaluate 41 +7 x– 5v dy at (1, ) - dx

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Q: Scanned With Camca Find the maximum of f(x) = et

A: This question can be solved using the concept of maxima and minima.

Q: The plane that contains the points (-2, 1, 0), (1,0, – 1) and (0, –1, 1) is orthogonal to which vect...

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Q: (2) = 8 and f '(x) > 3 for 2 < xs7, how small can f(7) possibly be?

A: Topic:- calculus

Q: y' + 2.5y = 1.6r 25 yy' – 4x = 0

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Q: 8. Two ships sail from A at the same time. One sails south at 15 miles per hour; the other sails eas...

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Q: (d) Assume that a particular Android phone has a value, A(t), that is always $100 less than the iPho...

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Q: A= E B= E ΣΗ Consider the following two series and n=1 Which of the following statements is TRUE? O ...

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Q: 6. The region of integration D is bounded by the graphs of the functions y = x*, x + y = 2,x = 0. Sh...

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Q: What is the largest possible product you can form from two non-negative numbers whose sum is 56? The...

A: To find: largest possible product you can form from two non-negative numbers whose sum is 56

Q: Mg= SS x(3x+ xy) dydx= ! 3x +x y dydx 3x y+ X5 S bx'+ 8 x dx 3. 6. Find the center of mass of the la...

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Q: Given that a 512 · x2 . sin(8 · x) dx = r – 2, - calculate the value of a. a = (No answer given) +

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Q: o = 3 cos? (4 - 0), r(0) = 2 de

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Q: Determine whether the lines are parallel or identical. x – 8 – y + 9 z + 4 %3D 4 -5 3 x + 4 – Y - 6 ...

A: Given query is to find the lines are parallel or identical.

Q: ydx 2. The exact differential what is the dxe")=

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Q: dw and Assume that w =f(s +?) and f'(x) = e*. Find dw dt dw ds II

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Q: 1. Integrating factors found by inspection: (xy' +xy kdx+ (x²y² – 2dy = 0

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Q: dy 5-9у2

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Q: Question 1: For each of the following Fibonacci-style sequences, find the next 4 terms. (а) а, 4а, 5...

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

A: We can find the critical numbers as below.

Q: Given the following inormation about the hyperbola, find both its standard and general form: Foci: ...

A: To solve the following problem

Q: Determination of integrating factors: 2y{r² - y + xkdx + (x° – 2y kty = 0

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Q: (x² +6x , x< a is continuous Find all values of a such that the function, g(x)=. 2х-4 , everywhere.

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Q: 5. In the differential equation (xy +1)kdx+ x(x+4y– 2)dy =0, the integrating factor is

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Q: Determine D103 (cos 2x).

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Q: 1 dx (х — 1)(х — 2)(х — 1) - -

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Q: 2. Find the angle between the following two vectors. and

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Q: Given vector u = (3, 1) and v (1,3) , determine the value of 2u – 3v in component form.

A: Use component wise addition and multiplication for required answer. 

Q: Use the alternative form of the dot product to find u · v. ||u|| = 50, ||v|| = 35, and the angle bet...

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Q: 2x cos (y) at the points (0,0) and 0, (0) Find the linearization L(x,y) of the function f(x,y)%3D

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Q: If x³ + y° – x1ºy12 = 1, find dz in terms of a and y. dy dy dz Using your answer for , fill the foll...

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Q: 5 cos 3x2-5 lim x+0 2 sin 8.x

A: Follow the procedure given below.