The directional derivative of f(x, y) = xe + cosxy at P,(2,0) in the direction of the vector 3i - 4j is

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Q: 4677×34677

A: 4677×34677= 162184329

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Q: Evaluate 1. 2. the integrals: (1-cos²x) 3/² dx Se* sec³ e* dx

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Q: 1. The total cost of 2 pencils, 5 erasers and 7 sharpeners is Rs.30, while 3 pencils and 5…

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A: The given vectors a→ and b→ are unit vectors such that a→.b→=12.Given: a→+b→ and 2a→+jb→ are…

Q: 5. If 90° << 180° and cos=-, find cos 20. O 0-16 O-/ O 2600 25

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Q: If A is square matrix of order 3 such that|3 A| = 54. Find |A|

A: Using the properties of determinants

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A: The objective of the question is determine the coefficient of Taylor series.     Note -  As per our…

Q: Determine the derivative of the following functions. y = 4x sin^-1 (3x-9)

A: Determine the derivative of the following functions. y = 4x sin^-1 (3x-9)

Q: 5. 2x-1 4x - 1 dx

A: We can solve this as follows:

Q: fins the voulme of the solid with cross-sectinal area A(x).   A(x) = x+2. -1 <x<3

A: fins the voulme of the solid with cross-sectinal area A(x).   A(x) = x+2. -1 &lt;x&lt;3

Q: Q4 Mode df Jx X= -0.90623 sin(1-13x)=0 =0.5772 How? ㅗ V3

A: here  -0.90623sin(1 -3x ) =0 sin(1 -3x) = 0 then  1 - 3x = 0

Q: S. t. sv Š dx Jo 8+2x² 25-x²dx

A: (s). Given: I=∫25-x2dx   ...1   As we know the common integrals;…

Q: INTEGRATION OF 1/1+TANX

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Q: 14. Find the volume of the tank shown below. 1.10 m | 1.48 m 4.25 m

A: Concept: Area of the segment: A Sector is made up of an Arc and Two Circle Radii. Together, these…

Q: The value of the definite integral 2 [₁²³4x² is Select one: O 15 O none of the others O 14 O 16 SO…

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Q: Evaluate the integrals: 2x4 1. S: -dx x²-x²+x-1

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Q: Extra / 2 به (x۰ -5 ) + 1x -x*) 4

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A: Topic = Area Question no 2 and 3 are graded questions.  Only question no 1  can be answered.

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Q: Evaluate the indefinite integral Select one: O a. 1 (1 - √√x)4 1 O b.. O c. - + C (1 - √√x)² 1 + C +…

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Q: lim [In(2n+1)-In(n)]

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Q: 3. What will the flow rate be in milliliters per hour for vancomycin 1g/500 mL IV, if it is to be…

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A: Solution: Given: S={(2 ,-1, 3), (5, 0, 4)} (d) u =(2, 1, -1)

Q: Problem 3. Solve below definite integrals b) [3te (b) 3tet²+1dt, In(x) 23 ©f! -dz, (d) TH In(x) dr.…

A: ∫ eu du = eu +C Note : As per our Guidelines , we can solve first question as your parts is not too…

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Q: Problem 3. Solve below definite integrals f (d) In(r) I dr.

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Q: 18. 19. 20. The curve y = x³ + 3x² − 2 has an inflection point at the point: a) P(-1, -2) b) P(-1,2)…

A: Use inflection point concept

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Q: 4. √ √x(2x-¹ – 1)¹/² dx

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Q: r5 a) [²3test dt, J2

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Q: 1. Find each of the following derivatives. d a. [cosh(2x² - 4)] dx b. 0| dx [tanh(4e³x+1)]

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Q: Given the following information, evaluate the other five functions. sec 0 = cos 0 = sin 0 = tan 0 =…

A: Given the value of secθ and we want to calculate the values of other trigonometric ratios.

Q: Evaluate the following integral: 2² ²₂ 2² x+yz dædydz

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Q: Let A.3 be 5x5 matrices such that det (A) = 7 and det(A)=-3. Find the following (1) det(2(A^B)')…

A: if A is an n×n matrix and det(A)=a thendet(kA)=kn×adet(A-1)=1adet(AT)=adet(adj A)=an-1

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A: Concept: Catenary curve: A flexible hanging chain or cable is shaped like a curve in mathematics…