Derivative app The given rectangle has a perimeter of 60cm. Find the values of x and y that result in a maximum area. Round your answer to the nearest tenth if necessary.use the image attached

Q: 4) a) Determine the derivative dx of the following functions y = 3** b) 1-3- 3e² 1² c) y d) y =…

A: We have to find the derivative.

Q: An airplane is heading north with a constant velocity of 450 km/h. The plane encounters a west wind…

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Q: Find the volume of the region of R^3 bounded by the paraboloid z=x^2+y^2 and by the planes…

A: Concept: Let us take D to be a bounded, closed space region. Let a and b represent real numbers,…

Q: A manufacturer has modeled its yearly production function P (the monetary value of its entire…

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

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Q: log7 X y =(√x) ¹087

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Q: 3. Waile si Sigma Notatimi 1. 12-201 4 곱 so times 나스

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Q: y = esin(tan-¹ x)

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Q: Write the matrix below as a product of elementary matrices 1 2 3 235 1 05

A: The objective of the question is determine elementary product of matrices ,of the given matrix

Q: 12. Setan 2x sec² 2x dx

A: As per guidelines we can solve only one questions at a time, so if you need more answers kindly…

Q: t b) tz 16) L-¹ (5-3)²+25) = c) tz estsinst a) 5 d) t est sin3t 5 b) c) e-at sin3t 5 eatsinst d)

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Q: f(secx tan² x) dx

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Q: Find a scalar equation of the plane x + 2y + 3z = 0 -x+ 3y - 2z = 0 c. 13x + y - 5z = 9 d. 13x+y- 5z…

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Q: What is the z-transform of the ?signal x(n)=(0.5)nu(n) Roc |Z| 0.5 Option 1 1 (1-0.5z-¹) 1…

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Q: III. Consider the parabola C: 2 - 4 = -(x - 2)² on the zz-plane. 1. Find the center-radius form of…

A: Given that Parabola C : z-4 = -x-22                In this question, we sketch a graph of the…

Q: Find the direction derivative of f(x,y)= Xe ² + y ² at the paint (2,1), by the dirction of V = i- j

A: Topic:- application of derivatives

Q: Which of the following is a vector quantity ? a) Volume b) Length Oc) Area d) Weight

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Q: 3. Find the equation/s of the TL to 9x² +16y² = 52 which is parallel to the line 9x-8y = 1.

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Q: Use the integral test to determine which of the following diverges. Α.Σ. ke k k=6 1 Β.Γ. Έk? +1 k C.…

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Q: A box with square base and open top has a volume of 1000 m³. Find the dimensions of the box which…

A: This question can be solved using the concept of maxima and minima.

Q: Let ā= . Find |āà.

A: Here we will find the magnitude of vector a,

Q: A while than 15t 7-47 / र

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Q: An object is moving with velocity (in ft/sec) v(t) = t² - 2t + 2. At t = 0, the object has a…

A: Topic = Integration

Q: 6 Find the area enclosed by the given curves. * y = x³ and y = 4x

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: Question 4 (a) Solve the following: [²4x¹dx (b) Explain with the aid of a sketch how this value can…

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

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Q: Find the cross product u x 7 where u úxv- 71 +5j +k and 7 (5,- 4,7).

A: This question can be solved using the concept of cross product of vectors.

Q: find The angle of the triangle whose vertices are C(1,-2, 2) Points AC-1,0,2) B (2,1,1) A B

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Q: Solve the following equations 2)3x+2 = 27 1) 2Ln(√x + 3) + 2Ln(√x-1)=Ln(6x-7) I 1 1

A: Let's solve both equation.

Q: Q17) Evaluate L (2 e-2t sin4t - 0.5 cos3t): 8 S 8 - a) b) (s+2)2+16 2s2+18 (S-2)2+16 252418 c)…

A: 17) To evaluate: L(2e-2tsin 4t-0.5cos 3t)

Q: Q4: Evaluate the following integral. 7/21/2 sin y 5% dy dx Y

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Q: X 2 1 a X 2 dx

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Q: a. g(3) = = b. lim g(z) C. lim g(z) d. lim g(z) = Z-1 = -4 -3 -2 -1 10 6 2 0 -2 -4 -6 9(z) 2 3 5 6

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Q: Complete the parametric equations of the line through the point (-2,-4,-8) and perpendicular to the…

A: Given: Equation of plane x-3y-5z=2 Point (-2,-4,-8)

Q: Consider the function below. z²+4 z-2i z # 2i f(z) = (3 + 4i z = 2i Is f(z) continuous at z = 2i? If…

A: Let's solve.

Q: lim,+1+(1²-2-²-1) In

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Q: 7) If f(x) = est cosx find f'(0).

A: Derivative of a product of two function isf(x)=g(x)h(x)then f'(x)=g'(x)h(x)+g(x)h'(x)

Q: 5x lim x→0 sin 3x

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Q: Suppose you have a 1024 mg sample of a substance known to have a half-life of 50 years. Find the…

A: Given half-life of sample=50 yrs and the initial sample is = 1024mg.

Q: Let ā= . Find a unit vector in the direction of a

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Q: if X(z) is the z-transform then what is the z-transform of x(n) of x(n- ?6)

A: In this question, we need to find the z transform of x(n-6).

Q: Exercises A write the 1st 4 terms 1 2. 1:4 운 은데linity 2. 을 , I 141

A: Given that the series is

Q: .) Find the limit or show that it does not exist. lim √25t²+2-5t 1-x

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Q: Find the length of the curve y= 2²-√√x, 4 ≤ x ≤9. 23/2 3

A: To find the length of the given curve.

Q: Which of the following describes a function? 1. y=x² +1 x=y² +1 1 I only Oll only I and II Neither I…

A: We have to tell about which is showing a function

Q: xdx ax + b cos ln x dx X S 2, A = 0

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Q: find dy/dx y = cos(etan 3x)

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Q: x+3 x ³ + 8x² +16x S da

A: To evaluate the given integral by using partial fractions.∫x+3x3+8x2+16x dx

Q: 2 S² T ㅠ 1-cos x dx 2

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Q: Assume that the number of bacteria R(t) (in millions) present in a certain culture at time t (in…

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