Calculate the cross product. (5j9k) x (6j + k)

Q: Comet Mario-2009 moves along an ellipse with equation 42² +16y²-640 (shown below) -10-04 47 Lo foot…

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Q: Question2: A; Rewrite by completing the square. x² + 3x + 1 B; C; Let D =(-4, 5, 8.5, 1, 0.5, m}.…

A: A) Given:      x2+3x+1 Write x2+3x+1 in the form of x2+2ax+a2 Here 2a=3            a=32 Now add and…

Q: If 2 is a differentiable function of x and y satisfying the equation sın (x²z + y²) + 2x³=y2²+2,…

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Q: A heavy-duty shock absorber is compressed 2 cm from its equilibrium position by a mass of 400 kg.…

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Q: Find the following derivatives. Express your answer in terms of the independent var 3x-3z 2y +3z Ws…

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Q: K Suppose that lim f(x) = 13 and lim g(x) = - 10. Find the following limits. X-6 X-6 a. lim…

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Q: 1. Find the equation of the tangent line to the given curves at point of tangency, if given. 2. y =…

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Q: Consider the function f(x)=√x near x = 8. Find the linear approximation error when using the linear…

A: Given data:- The given equation, y=3x near x=8

Q: 3. f(t) = 3t - t², (0,0) 4. f(x) = 3-5x, (-1,8) 5. g(x)=x²-9, (2,-5)

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Q: 1. f(3x + 2)¹4 dx 2. S 4t³ (t¹ + 4)³ dt 3. √ √2x - 1dx

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Q: The differential equation (x²-y²) y'= 2xy is not an Exact D.E because the partial derivatives of…

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Q: At what points is the function y= x+3 2 xỉ - 5x+6 continuous? Describe the set of x-values where the…

A: We can find the x-values where the function is continuous in the below steps.

Q: -+-N=r; N(2)=8. dt t

A: we will find the required.

Q: 3. Determine the following limit (tabulate). sin (t − 1) lim t1 t²+2t - 3 O-1/4 O None of the…

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Q: (-7)=|

A: Topic:- derivatives

Q: A particle is moving in a straight line with velocity given by v=2e-1 for 014 where v is in ms and…

A: A particle is moving in a straight line with velocity given by        v=2e-t2-1    for  0≤t≤4where,…

Q: On a routine inspection of the water system of Cincinnati, Fernanda discovers a pipe leaking at the…

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Q: Laplace Transform Determine if the following functions are of exponential order (show complete…

A: 1) t3 sin(2t) 2) 1000 e2020t.

Q: limx→6(x+4)2(3x−2) Evaluate the limit , thank you

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Q: Find the limit. lim X-1 lim X-1 √√x²+3-2 X-1 √²+3-2 x-1 = (Type an integer or a simplified…

A: Solution: Let the given limit is

Q: 1. Use deductive reasoning to show that the following procedure produces a number that is three…

A: Deduction or deductive reasoning begins with the general statement/hypothesis and investigates the…

Q: here is the function f(x) below discontinuous 4, (x)=x²-5, x + 3, if x 1

A: Given query is to find where is function discontinuous.

Q: Determine whether the points lie on a straight line. (a) A(2, 6, 1), B(3, 10, -1), C(1, 4, 2) O Yes,…

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Q: Please kindly explain the steps and the answers are not clear. Can't really tell what's going on.…

A: Let's solve for function.

Q: The graphs of y = f(x) (solid) and y = g(x) (dashed) are shown. The two graphs intersect at (3, 14).…

A: givenarea of region 1 is=26

Q: (2xy - 3x²) dx + (x² + 2y) dy = 0

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Q: 15. xyy e'. 16. tan² y dy = sin³ x dx. 17. y' = cos2 x cos y. W

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Q: (cos x-cosy-cotx) dx - sinxsiny dy=

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Q: The UCSB has 8 squads of badminton players. The UCI team has 5 squads. Every squad from UCSB must…

A: Given query is to find the total number of games.

Q: Make an ORIGINAL EXAMPLE OF "Variable Separable" A) GIVEN B)SOLUTION C) ANSWER D) WITH EXPLANATION I…

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Q: A hazardous material was found to decay at a rate proportional to the amount present. Initially,…

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Q: (cos x-cosy-cotx) dx-sinx.

A: Topic:- differential equations

Q: Let f and g be functions such that f(8) = 24, ƒ'(8) = 5, ƒ(24) = 16, f'(24) = −6, g(24) = -29,…

A: Given values are f8=24, f'8=5, f24=16, f'24=-6, g24=-29, g'24=-10,g(16)=-27, g'16=55 we need to find…

Q: 5. Compute and simplify the difference quotient f(x) = 3x² + 7x-2 f(x+h)-f(x) h 9 h = 0.

A: We have to slove above questions

Q: Write the first trigonometric function in terms of the second for ? in the given quadrant. sec(?),…

A: Topic : Trigonometry

Q: Prove that square root 3 is not a rational number.

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Q: Find the quadrant in which ? lies from the information given. csc(?)  0

A: Given query is to find the correct quadrant.

Q: 10. The national debt of a South American country t years from now is predicted to be D(t): 65 +9t3…

A: Topic- Application of derivatives We are given, Predicted nationl debt of a South American country t…

Q: Solve the problem. For some reason the quality of production decreases as the year progresses at a…

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Q: Evaluate the definite integral. Give the EXACT ANSWER. (no decimal approximations) 4 (2x²-4) dx =

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Q: For what value of a is the following function continuous at every x? a²x-6a, x≥2 x<2 f(x)= 20,…

A: Given fx=a2x-6a20x≥2x&lt;2

Q: 34. If f is the function defined by f(x) = (A) 0 (B) (C) / (D) nonexistent O A О в О с O D ²+x-6…

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Q: I. Find the slope of the tangent line m and the equations of tangent line and normal line at the…

A: To find the equation of tangent line &amp; normal line.

Q: Let f(x,y) = 4√xy³²+ 4y + ex 1. Use local linear approximation to estimate. 4√ (0-1)(0-9)² + 4(0-9)…

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Q: Integrate. √ ( 7x² + 2/17 - 0²³) 0 3x 4+ dx = 0 +C

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Q: f you know that lim f(x) exists at an interior point of a domain interval of f, can you find its…

A: Limit of a function.

Q: X Find the area of the surface generated by revolving the curve y = 18 The area of the surface is…

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Q: Suppose f(x) and f'(x) have the following values. -5 -4 -3 -2 -1 f(x) 8 10 15 16 14 f'(x) -2 -3 9 -5…

A: We need to find  out h'(-5).

Q: y=f(x) Fig. 2 a) lim f(x) X-4- d) lim f(x) x-3- b) lim f(x) X-4+ e) lim f(x) c) lim f(x) x→4 f) lim…

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Q: Calculus Find the volume of the solid generated by revolving the region bounded bythe graphs of y=x,…

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