Consider the vectors ā (2, 3, –1) and b = (4, –9, 6). Find the cross product of a and b

Q: Compute the derivative d/dx of the following functions: y = 2 sec x − csc x x cos^2(4x)…

A: y = 2 sec x − csc xDifferentiate w.r.t.xdydx=ddx( 2 sec x − csc…

Q: السؤال 4 |- csc2 - (5æ). dæ 1 i cot (5z) + CO -cO 1 cot (5x) + CO 5 cot (5x) + CO 5 cot (5æ) + CO

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Q: dx I (x – 6)(x +2)²

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Q: 1. Evaluate the following integrals. 3r5 (a) / dr V2 – x3 2" + e2" sin(2") sin(2=) dx 2x +3 (c) / dx…

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Q: Given the curve y = x' and the line y = 4x in quadrant Find the ordinate of the centroid y of the…

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Q: The temperature is T degrees at any point (x, y, z) in three-dimensional space and T(x,y, z) = 1/(x²…

A: Here, the temperature is given by: T(x,y,z)=1x2+y2+z2+3 Now,…

Q: -17x - 60y satisfying the initial conditions x(0) = -33 and %! Find the solution to the linear…

A: The solution is given in the next steps.

Q: 2 The sum of an infinite geometric sequence is seven times the value of its first term. a Find the…

A: Given problem:- 2 The sum of an infinite geometric sequence is seven times the value of its first…

Q: In what direction does g have the maximum directional derivative at (x, y) = (4, 1)? What is the %3D…

A: We have to find maximum directional derivative.

Q: L(sin² at)

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Q: The intensity levels I of two earthquakes measured on a seismograph can be compared by the formula…

A: We have to find intensity of earthquake in 2011 with respect to 2009.

Q: Find the length of the arc y =: 8 1 from X = 1 tox = 4. 4x?

A: Graph: Given: y=x48+14x2. So,          y'=x48+14x2' =x32-12x3.

Q: a) Is the series Σ is Vn + n3 + 10 n=1 convergent or divergent? justify your answers. 8.

A: Dear student, As per guidelines if multiple questions are posted we are allowed to solve only ist…

Q: Évaluate the integral of 2xdx /(2x²+4) if the upperlimit is G and the lower limit is 3.

A: Given,             The integral of 2x/(2x2+4) dx if the upper limit is 9 and the lower limit is 3.

Q: Consider the function f (z) = es: Show that if f (z)is purely imaginary, then 2n +1 T, n = 0,±1,±2,…

A: Complex function

Q: Consider the curve C on the yz-plane with equation y2- z + 2 = 0 (a) Sketch a portion of the right…

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Q: Find the area of the triangle whose vertices are given below. A(- 2,4) B(3, – 4) C(11,- 4) The area…

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Q: Calculate the left rectangle approximation of 3x- dx using five subintervals.

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Q: Let U be the universal set of natural numbers less than 11. Consider the following two sets. A = {9,…

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Q: Find the area of the regien bounded by the following curves y? = 3- x and y = -4x. %3D

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Q: 2) Consider the function g defined by (7X/g)+ glx, y) = COS logs (x-y) la) determine дудх

A: To find out the partial derivative.

Q: Question #3 C8: “Find the derivative of a function using a combination of Product, Quotient and…

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Q: Find k such that the vertical line =k divides the area enclosed by y= Vx y=0 and x=5 into equal…

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Q: Find the radius of convergence and the interval of convergence of the series. (-1)" (2n – 1)2" (x –…

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Q: Consider the function f(z) a* + 4x. (a) Find the r- and y-intercepts of the graph of f (if any). (b)…

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Q: Both pictures are same question!

A: Given radius=8  and angle is 65° we need to find the area of the sector A The area of the sector of…

Q: or Divergence applies to en +2 Σ n=1 n*+6

A: We have to choose the correct option from the given options according to the given information

Q: Identify whether the statement represents an exponential function.  The height of a projectile at…

A: We can explain the answer as below.

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the given…

A: This question can be solved using the concept of volume of solid generated by revolving the bounded…

Q: Which test is most appropriate for In(n+4) series: 2 n =1 n*+2? b) series is convergent or…

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Q: Q/ Find the Surface area generated by revolving y = 1– x² around the y- ?0 < x <1 axis, where

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Q: 8 x3 dx Vx2 + 36

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Q: Find the area of the region bounded by the graph y = sin x, y = 0, x = 0 and x =3π/2. Sketch the…

A: Here we have given following equations : y=sinx,  x=3π2 and y=0, x=0

Q: Which formula would be used to calculate the left rectangle approximation of o 4x dx using five…

A: topic - integration using left end points

Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

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Q: Evaluate xy dx + (x+y)dy along the curve y = 4x from (- 2,16) to (- 1,4). xy dx + (x+ y)dy =

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Q: sec (3x). tan (3x) da 1 sec (3x) + CO 3 sec (3x) + CO 1 tan (3x) + CO tan (3x) + CO

A: We can answer the question as below as below.

Q: Estimate f(x) = 2x2 the area under the graph of the function from x = 2 to x= 19 by a Riemann sum…

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Q: Suppose the population of spiders in a sanctuary grows exponentially. After one day, 
there were 50…

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Q: EXAMPLE 3 Find the greatest and smallest values that the function f(x. y) xy takes on the ellipse…

A: Application of differentiation

Q: elevation of the sun slope of the hill A flagpole is on a slope that rises 10° from the horizontal.…

A: Given  Slope of hill α=10° Angle of elevation from slope β=39° Length of shadow on hill slope L'=24…

Q: Evoluate the limit of (1-cosx) (x²) as x pproaches 0.

A:

Q: Q1) Solve the following partial differential

A: Given

Q: Which angle has a negative sine value and a negative cotangent value? 3. 7 8 9TT C. P. 3. 5

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Q: L(e2t t2)

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Q: Use the form of the definition of the integral given in this theorem to evaluate the integral. 7x dx…

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Q: Evaluate using a table of integration formulas. 5 dx 24) XV36 - x2 X-6 +C X +6 A) In +C B) In 12 6 -…

A: Solve the following

Q: Question #8 C15: “Find the approximate or exact value of a definite integral using rectangles and/or…

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Q: nP 00 クの In=1 2+n3

A:

Q: (3) Is f(x) = 2x a solution to the differential equation f(x)–xf'(x) = 0? Explain briefly. %3D

A: The differential equation is f(x)-x·f'(x)=0