Find the cross product a * b. a=(4, 5, 0), b = (1, 0, 7) Verify that it is orthogonal to both a and b (ax b) - a (axb) - b

Q: Determine whether the statement below is true or false. If the statement is false, make the…

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Q: Evaluate. 6 S ( 32 - 9e¹x + 20.1). ge4x dx

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Q: Find the direction in which the maximum rate of change occurs for the function f(x, y) = 2x sin(xy)…

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Q: Find the value of integral (2²+² +2²) ds, where C' is parmeterized by F(t) = (5 cos(5t), 5 sin(5t),…

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Q: π Compute the integral: S -TT sin t 1 + t -dt (Hint: sin(t) = - sin(t)) =I

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Q: Two systems of equations are given below. For each system, choose the best description of its…

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Q: Find the point on the line 2x + 3y = 5 that is closest to the point (1, 2). 分别 B) 17 17 A) 13 13 5…

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Q: Sketch a graph of the function (x + 1)³(x − 2)²(x + 4).

A: Function: We need to plot the graph.

Q: Find the indefinite integral for the function using the substitution u = 2y - 9. (2y — 9)9dy = - […

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Q: f(x, y, z) = x + 2y - 2z, A) Maximum: B) Maximum: C) Maximum: D) Maximum: 1 at 8 at 1 at 9 at x² +…

A: fx,y,z=x+2y-2zgx,y,z=x2+y2+z2-9

Q: Find the domain of f(x)= Mostly sunny x|x€Rx‡¬ √10} 00 x|x€R_x#√10} Ox|x€R¸x*-√√10, 10}…

A: a2 - b2 = (a - b)(a + b)  and 10 = (10)1/2(10)1/2

Q: A plate occupies the region in the plane described by inequalities: 4 ≤ x² + y² ≤7, y ≥ 0

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Q: Approximate [" cos (r) dr by Riemann sums with the partition P = T2T ¹3¹3, using first the left sum,…

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Q: Determine whether the following limit type is indeterminate, has a fixed finite value, is or does…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. kindly repost…

Q: Let L denote the left-endpoint sum using n subintervals. Compute the left sum n 4. for the given…

A: fx=ln1+ex

Q: Find an orthogonal diagonalization for A D 1 .e. find an orthogonal matrix U and a diagonal matrix D…

A: The given matrix is: A=-3000-3-20-2-3

Q: Q6. Reverse the order of integration of ¹ (²-² f(x,y) dx)dy.

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Q: Use summation properties and formulas to rewrite and evaluate the sum. 25 Σ ((2k)² - k³) k=1

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Q: Find the inverse. f(x) = -8x + 9 -6x + 5

A: NOTE: Refresh your page if you can't see any equations. . to find an inverse function, interchange…

Q: Consider the following function. f(x) = 8x² - 4x Find the limit. lim Az-0 f (x + Ax)-f(x) Ax

A: fx=8x2-4xTo find : Find the limit                   lim△x→0fx+△x-fx△x

Q: 19. Maximizing Volume Three hundred square inches of material are available to construct an open…

A: To find out the dimensions of the box that will maximize the volume.

Q: Consider f(x) = arctan(x²). Find the absolute maximum and minimum of f(x) on the interval [—7, 1].…

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Q: Find the distance between the point (1, 2, 0) and the plane 6x - 2y + 3z = 6.

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Q: Write the integral S²₂|x³| dx = as a sum of integrals without absolute values and evaluate:

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Q: Find the directional derivative of the function f(x, y) = ln(x³ + y²) at the point (1, 3) in the…

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Q: Find the exact length of the curve. y = In(secx), 0 ≤ x ≤ x/3

A: Note:- Since you asked multiple questions ,according to our policy we can solve only first question…

Q: What combination(s) of vertical, horizontal, and oblique asymptotes are possible for a rational…

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Q: Find the net signed area between the f(x) and the x-axis:

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Q: Let 7 (t) = Find 7'' (t)

A: given r→(t)=<-2t2-5,-4e-4t,sin(-3t)>formula used→(i)  d dt(tn)=ntn-1(ii)  d dt(eat)=aeat(iii)…

Q: 3. Use the graph and the actual areas of the indicated regions to evaluate the integrals in the…

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Q: Find all the zeros of the function f(x) = x² + 14 O√14.-14 O 14, -14 O 14,-14 i√14.-√14

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Q: Identify the real numbers Xo X1 X2 X3 and X4 (a) f'(x) = 0 Oxo 0x1 0x₂ 0x3 X4 Onone of these (b)…

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Q: Express the integral as a limit of right endpoint Riemann sums. Do not evaluate the limit. 3 [²√ 0…

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Q: A tank in the shape of an inverted right circular cone is full of water. The water weighs 62.4…

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Q: ven the differential equation y' = cos(2y) and y (1) = 0, what is C? Do not include C = in your…

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Q: 2. Prove that the difference of an odd integer and an even integer is odd.

A: Prove that the difference of an odd integer and an even integer is odd

Q: Determine F'(x) when F(x) = 2√1+Pa =√₁² dt 1. F'(x) = 4x√1+x² 2. F'(x) = 3. F'(x) = 22² √1+x¹ 4x…

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

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Q: I x+4 Give exact answers (not decimal approximations). Let f(x) = Find the values of x where f'(x) =…

A: f( x ) = xx+4As we know that ddx( uv ) = vdudx - udvdxv2

Q: 1 X ƒ (t) dt = 1 – 1 418

A: Given:  ∫1xft dt=1-1x To Find:  To find ft.

Q: Find the domain of f(x)= O {x|x€R¸x*−2,2} C O O {x|xeRx=2} {x|x€R¸x÷-4} {x|x€R¸x#4} 4x²-3 (4+x)

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Q: -z+5y R 22 c-4y -z+5y=0, z+ 5y = 5, 2x - 4y= 1, 2x - 4y= 2 Find -dA, where R is the parallelogram…

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Q: A manufacturer of corrugated metal roofing wants to produce panels that are u = 24 in. wide and 2…

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Q: Find the area of the shaded region. r=1+ cos 0 D r=3 cos 0

A: We have to find the area of the shaded region given in the below image:

Q: Find the distance between the given points. (5, 4, -3), (-1, 2, -6)

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Q: List the first five terms of the sequence. an = n³ _ g a1 22 Tamanna =

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Q: Use Newton's method to approximate the given number correct to eight decimal places. 99 99

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Q: By using the formal definition of the limit, prove that 1 lim x sin = 0. x→0 X

A: Using definition of limit we have to show that:limx→0 x sin1x=0

Q: After the end of an advertising campaign, the sales of a product is given by S = 800,000e−0.2t…

A: given  S=800000e-0.2twhere S is weekly sales in dollars and t is number of weeks

Q: A house increases in value in a linear fashion from $220,000 to $300,000 in 5 years.Find the…

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