1. Find the resultant of the vectors A and B. A = 8a, + 7a, + 2a, В - - За, — 8а, - ба, Draw the vectors as well as the resultant vector.

Q: Let f(x,y) = ln(100 − x^2 − y^2). a. Find the domain of this function. b. Find the boundary of the d...

A: We know domain of log(x) is (0, infinity)

Q: Find the general solution of the differential equation xyl – yl – (x – 1) cos (x)+y = 0 and choose t...

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Q: 3x – 2 if x 10 lim f(x) = lim I+10+ f(x) = f(10) f(x) cannot be made continuous because lim f(x) do...

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Q: Use Simpson's rule with n = 4 to approximate 11 3Va? + ædx Keep at least 2 decimal places accuracy i...

A: ∫abf(x)dx=∫3113x2+x dx where   a=3,b=11 and n=4then h=b-an=11-34         h=2 Simpsons Formula is giv...

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: Find the center of mass of a thin plate of covering the region between the x-axis and the curve y = ...

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Q: For the function f(x) = sec x, which of the following are not possible values of f(x)? Choose all an...

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Q: (D² – 2D + 1) y = e*/x3

A: Given ,(D2-2D+1)y=exx3The A.E. is, m2-2m+1=0(m+1)(m+1)=0⇒m+1=0 or m-1=0⇒m=-1,-1Therefore C.F.=(C1+C2...

Q: B In Problems 17-34, use implicit differentiation to find y' and evaluate y' at the indicated point....

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Q: Find all the values of a such that the given series would converge. (- 1)"z" L 2"(n² + 7) n=1 The se...

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Q: Which of the following is not in the domain of tan(x)? Select all correct answers. Select all that a...

A: Given that: f(x)=tanx

Q: aphed below. 5+ 4+ 3+ 2- -4 -3 -2 -1 -1- 1 2 3 4 -2+ -3+ -4 -5+

A: we want to find the equation of polynomial 

Q: 1. Н: у%3DNx+1 2. g: y=|x|

A: Given :H : y=x+1g : y=x

Q: Estimate the slope f'(3.5) for f (x) = sin(3x) using: a. Forward difference approximation with h = 0...

A: f(x)= sin3x x y y1 y2 y3 y4 3.3 -0.1557             -0.193       3.5 -0.3507   0.0139     ...

Q: 5) ( 3 tan x – 4 cos? x dx cos x

A: To evaluate the given integral.∫3 tan x-4 cos2 xcos x dx  

Q: Compute the directional derivative in the direction of v at the given point. S(x, y) = xy – x, v=i-j...

A: Given problem:- Compute the directional derivative in the direction of v at the given point. f(x,y)=...

Q: 52. 0 = 6. 54. 0 = 12.9

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Q: Forms of Summation Notation 6. Square of the sum of variables: Ex; =(x, +x, +...+x,)? Example Evalua...

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Q: Determine if the given function is a continuous on each of the given intervals. A. f(x) = 3x³ + 4x² ...

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Q: Find all the values of a such that the given series would converge. (– 1)"9"x" Σ n=1 (Vn+ 5) The ser...

A: Here we have to find the values of x such that the given series would converge.

Q: 3. Find the indicated values. a) f(x) = x³, g(x) = 6. (f°g)(x)? b) f(x) = -2x + 1, g(x) = x², h(x) x...

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Q: Written Work Directions: Please write your solution on the space provided and boxed your final answe...

A: limit

Q: F: y=x² +2x+1

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Q: cOs X sin? x

A: Given:- ∫cosxsin2xdx Formula:- we use substiution method and formula ∫xndx=xn+1n+1+C

Q: 5. A wooden block is made as shown in the diagram. The ends are right-angled triangles having sides ...

A: Given Total surface area = 7.200 cm2

Q: ". standard deviation is always positive

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Q: Forms of Summation Notation 1. Summation of n Variables: 'x' Ex; = x1 +x2 +X3 +...+x, Example Given ...

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Q: By how much cloth price rose during the

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Q: Since the start of the year, the price of gasoline has been decreasing at the cost of 5 cents per ga...

A: We  have given that the start of the year, the price of gasoline has been decreasing at the cost of ...

Q: Determine the direction in which f has maximum rate of increase from P. S(x. y. 2) = x²y/z, P =(-1,2...

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Q: Differential Operator General Solution DN AxN-1 + BxN-2 +..+C (D - a)N AxN-leax + BxN-2eax + ... (D?...

A: differential equations

Q: VI– 2e* dx

A: Given that a integration and we solve the solution of this integration by using general property of ...

Q: For each of the following functions, find the indicated derivative using the definition. Note must f...

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Q: Find all angles ? between 0° and 180° satisfying the given equation. Round your answer to one decima...

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Q: Explain why the Intermediate Value Theorem is not necess arily guaranteed fo f (x) = = CSC for x E (...

A: Topic = Functions   The intermediate value theorem states that if f is a continuous function whose d...

Q: x +1

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Q: 2x2 – 9 ,x < 1 What is the lim f(x)? f(x) = 1 4x – 11, x 2 1 A. -7 В.3 C.9 D. 11

A: Topic = Limit

Q: Function Type Differential Operator AxN + BxN-1+ .+C DN+1 AxNeax (D - a)N+1 cos(Bx) or sin(Bx) (D? +...

A: Solution

Q: 2.

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Q: x5 dx (x6-8)2 2.

A: given that,  evaluate the following integral ∫x5(x6-8)2dx integration formula   ∫xndx=xn+1n+1+C

Q: The weekly cost C (in dollars) of producing x units in a manufacturing process is given by  C(x) = 8...

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Q: Evaluate the integral. x+ 10 dx x+2

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Q: The reference angle for an angle 0 (in degrees) is the angle 0' = 360°n – 0, where n is an integer a...

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Q: The following statements are true EXCEPT A. lim x →2 x²=4 B. lim  x →-2 x=-2 C. lim x →-2 x³=8 D...

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Q: Vx+3 4. f(x) = **3 f'(1) x-4

A: Given:- f(x) = √(x+3)/(x-4)  To find:- f'(1) 

Q: cos(2x)81-x (x*+1) Given f (x) = Use logarithmic differentiation to find the derivative of the funct...

A: According to question,Given function,fx = cos2x81-x4x2 + 1

Q: An airplane flies at an altitude of 5 miles toward a point directly over an observer. Consider 0 and...

A: Given data H=5miles Speed =336 miles per hour We have to determine angle  

Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x = 3 and a root of multiplicity 1...

A: We know that a polynomial of degree n can be written in factors form as: P(x)=C x-x1·x-x2⋯⋯⋯x-xn Whe...

Q: 2. is the branch of science that deals with the collection, organization, analysis, interpretation, ...

A: Given; ? is the branch of science that deals with the collection, organization, analysis, interpreta...

Q: t Complete the table of values to evaluate lim t0 sin t f(t) f(t) -1 1 -.5 0.5 -3 0.3 --1 0.01 -.001...

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