Find the absolute extrema of the function f(x, y) = ln(3x² + y² +3) on the closed and bounded region |x| ≤ 3, |y| ≤ 1.

Q: Write the integral as a sum of integrals without absolute values and evaluate: S7₂|x³|dx =

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Q: Find the values of constants a, b and c in order that A = B 1 ^= /2-4/0 A 1 + b b² 3+ a a 1 2 5 a²…

A: Given:To Find :Values of a,b,c such that  the A=B

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Q: Solve ABC subject to the given conditions A= 10.5° , C=97.8° , b=61

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Q: For the following parameterized curve, find the unit tangent vector. r(t) = (3 cos (t).3 sin (t).5…

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Q: lim (x³ − 3x² −2x+1) X-→-1 (Ans. -1)

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Q: Find the solution of the exponential equation 100(1.06)² = 50,000 in terms of logarithms, or correct…

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Q: Find the derivative. 1 y= 2 11x О А. 0 в. 0 с. O D. - 1 11x3 2 11x 1 3x 3 2 11x 2 11x³ + 1 3x 1 2…

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Q: lim X-00 2x+3 √x²-1 2

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Q: Find the critical point or points of the given autonomous system. Then identify its phase po dx 92…

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Q: Graph the following function. Show at least two cycles. Use the graph to determine the domain and…

A: y=-7cosx

Q: 3 2 P 3/2 The graph of the function f(z) = tan z is given above for the interval z € [0, 2] ONLY. I…

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Q: Find f(x) such that f'(x) = 6x² − 6x and f(2) = 10. f(x) =

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Q: Show

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Q: Determine all the points where the given function is continuous f(x,y)=√√√x² + y² + z²-4

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Q: Evaluate the integral [(31³) | + (4) J+ (7t+6) k] dt. 1 1 0 0 [(3²) + (¹+0*0* 1+ (4) j + (7t+ 6) k]…

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Q: The present and future values of a continuous income stream are calculated with an integral while…

A: We have to find the formula of the given terms. We will use integral term for continuous income…

Q: Find the distance in exact form between the point P (-2,-4, 2) and the point Q(2, -4, 3). Distance =

A: The distance between the points  and  is given as

Q: A contour map is shown for a function f on the square R = [0, 2] × [0, 2]. y 2 10 Enter number. 1 30…

A: Therefore, there are 4 sub-squares of area of 1 unit square.The centers of the 4 sub-squares are,

Q: Choose the end behavior diagram that best describes the function. x6 +0.2x² f(x) = -4.3x²+x+ Choose…

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Q: Use the Divergence Theorem to compute the net outward flux of the vector field F across the boundary…

A: We need to find Net outward flux.

Q: The fox population in a certain region has an annual growth rate of 9 percent per year. It is…

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Q: Find f by solving the initial-value problem. (Remember to use absolute values f(x) = f'(x) = x + 1 X…

A: Given

Q: Consider the function Evaluate the definite integral. х f(x) = { { 1 M/S 3 S³ if x < 1 if x ≥ 1 f(x)…

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Q: [x² 7 x' + 3 X - 1 e 16 -X + 6 sin(x) + 2 x² + 1 + √2x+8dx

A: We know that the formula integral of x^n dx is x^(n+1)/(n+1) +C Where C is an constant

Q: Find the area of a parallelogram formed by the vectors PQ and PR, where P = (4,-1,4), Q = (-4, 3, 5)…

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Q: (c). lim 40+ (--) tanz

A: Limx-0+ (1/x)tanxFind the limit.

Q: 3. Use the Laplace transform to solve the Initial Value Problem x"-x'- 6x=0; x (0) = 2,x'(0) = -1

A: given initial value problem

Q: (e) tan(sin−¹ y) = √2, y € (-1,1)

A: To prove"As per the rules, we are supposed to answer the first question and rest of the questions…

Q: Most railroad cars are owned by individual railroad companies. When a car leaves its home railroad's…

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Q: To find the 6th binomial coefficient of the expansion of (x+ y)¹5, find the value of 15 C6 True…

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Q: Square region. ff R (y + 2x²) dA where R is the region bounded by the square |x| + y = 1

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Q: Evaluate the double integral. JI BX 8x dA, D= {(x, y) | 0 ≤ x ≤ π, 0≤ y ≤ sin(x)}

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Q: Find y'' if y = 6x sin x. A. y' = 6 cos x - 12x sinx B. y'= - 12 cos x + 6x sin x C. y' = 12 cos x -…

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Q: dentify the coordinates of any local and absolute extreme points and inflection points. Graph the…

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Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

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Q: Find dx dy dx x = t², y = 6 - 4t

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Q: The graph of a function f is shown. (The dashed lines indicate horizontal asymptotes.) 9 y g' 0 f…

A: As per our guidelines, we are supposed to solve only 3 three subparts. Kindly post remaining parts…

Q: If z=x²-xy+ 8y² and (x, y) changes from (1, -1) to (1.04, -1.05), compare the values of dz and Az.…

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Q: Find the indefinite integral. (Use C for the constant of integration.)

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Q: Langara Woodcraft borrowed money to purchase equipment. The loan is repaid by making payments of…

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Q: x(t) = 5 - 6t Find the equation of a plane through the point (-5, 6, -7) and orthogonal to the line…

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Q: the second half is worng

A: The natural numbers set is  . =4}" data-mce-style="box-sizing: inherit; user-select: all; display:…

Q: dy Find and dx enter DNE.) dy dx = d²y dx² slope concavity d²y dx² and find the slope and concavity…

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Q: Determine all critical points for the function. f(x)=80x²-3x5 O A. x= - 4 and x = 4 OB. x= -4 OC.…

A: Given data

Q: 6. Let f(x) = x55x+1. Prove that f has at least 3 zeros in [-2, 2]; that is, there exist distinct…

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Q: Find the limit. lim X-1 √√²+15-4 2 x-1

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Q: Find the maximum and minimum values of the function f(x,y) = ey subject to x³ +y³ = 54

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Q: Find the area of a parallelogram formed by the vectors PQ and PR, where P = (1,3,4), Q = (-5,0, -3)…

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