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

Q: Find g(x) given that g'(x) = cos x and g(π/2) = 4.

A: Given; g'(x) = cos x and g(π/2) = 4.

Q: Find the general solution of the following differential equations: a. +6- dr + 9 0. dr3 dr² dy + 4.…

A:

Q: 2. (a) Find the exact length of the curve (i) r = 1+sin 0, 0<0< 2n, (ii) r = 2(1+ sin 0), 0<0< 27.…

A: We need to find length of curve.

Q: Find the series' radius of convergence E (3x)n n=0 O1 00 O 3

A: This question is related to infinite series, we will solve it using given information.

Q: PROBLEM. dz dz and dy 1. Suppose z is a function of x and y, and tan Vy² + x² = z®e©y. Solve for %3D

A:

Q: DETERMINE THE APEA UNDER THE PARA HETRIC CURVE GIUEN DY THE FOLLO WING PARAMETRIC EQUATIONS. x=2 (6…

A: We have to find the area under the curve.

Q: Find the Taylor series generated by f at x = a. f(x) = x3 + 8x2 + 7x + 6, a = -2 O (x + 2)3 - 2(x +…

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Q: Question 2. (a) ( Evaluate the triple integral z dV, where E E = {(x,y,z):0<x<2, 0<y<2, 0Sz<3). (b)…

A:

Q: (b) Find the values of a and b so that the function = x + ax + b has a local maximum at the point…

A: topic - application of derivatives

Q: A survey of 48 people was conducted to compare their self- reported height to their actual height.…

A: Given that a survey of 48 people was conducted to compare their self-reported height to their actual…

Q: Which of the following is equal to O 56

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Q: Show that the function f defined by (x, y) = (1, – 1) f (x, y) : x2 + Y (x, y) + (1, – 1) x + y is…

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Q: a is the value that will make the equation exact. Fincd 2a -a?. 2xy3- 3y - ( x tax²y² - 2ay) y'• O

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Q: EXAMPLE 4 Solving an Equation (Complex Roots) Find all complex number solutions of x -1=0. Graph…

A: Let's find.

Q: 2. The temperature at any point (x, y) of a rectangular plate lying in the xy plane is determined by…

A: Given problem:- The temperature at any point (x, y) of a rectangular plate lying in the xy plane is…

Q: It takes twice as much work to stretch a certain spring from 9 to 10 in., as it does to stretch it…

A: It takes twice as much work to stretch a certain spring from 9 to 10 in., as itdoes to stretch it…

Q: inal the @ e w and cone an ave cof the Cuarve?

A: here i am providing my hand written solution

Q: If the tangent line to y = f(x) at (4, -14) passes through the point (2, -32), find the value of f'…

A: Given that y=f(x) is  the tangent line at the point 4, -14. Let, the equation of the tangent line is…

Q: Using Lagrange multiplier method to find the maximum and minimum value of the function f (x, y) = x²…

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Q: c) within the first octant, enclosed by x + 2y + 4z = 4. Evaluate following triple integral: Let E…

A:

Q: 1 - x dx. e + x Evaluate:

A: We have to find the given integral.

Q: Which of the following correctly describes the function f(x) = 4x4 – 32x³ + 89x2 – 95x +29? none of…

A: This is a problem related to function. Based on the graph of the given function we will answer the…

Q: angles d. greater than either remote interior angles 2. The two sides of a triangle has lengths of 7…

A:

Q: S 24ecot 4z csc2 4xdx

A: To evaluate: I=∫24ecot 4xcsc24x dx⇒I=24∫ecot 4xcsc24x dx Substitute 4x=t⇒4dx=dt⇒dx=dt4: I=24∫ecot…

Q: The weekly demand for the PULSE 25 LED TV is р 3 600 — 0.05х, 0 < x < 12000, where p denotes the…

A: The weekly demand for the PULSe 25 LED TV is p=600-0.05x0≤x≤12000, where p denotes the wholesale…

Q: x2 -9x+11 dx 7. r+6

A:

Q: 19. (h o g)(2) 5. (A) 10 (C) 3+ v2 (B) 2/2 +1 (D)

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: - 4( Let u(t) = 8t i+ (-9)j-8k and v(t)= e'i+9 ej- e "k. Compute the derivative of the following…

A: topic - dot product and derivative of a function

Q: is no solution for p

A: D.

Q: Use the Euler, improved Eule and Runge-ku 6. methods to solve the following ODES: ソ=(1+ ) りく) = e

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Q: The dimension of the vector space P3 is equal to: Select one: O 5 none of the others O 2 4 O 3 ):…

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Q: A bowl of soup at 95 C (too hot) is placed in a 22•C room. One minute later, the soup has cooled to…

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Q: Sind Double în tegrals t he area bounded curre y =メ2+5, 2imeメニル

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Q: Find the series' radius of convergence. (x -3)n (an)! n=1 0o, for all x 00 O 2 O 1

A:

Q: 1. Determine whether each of the following series converges absolutely, con- verges conditionally or…

A: answer is in next step  . as per guideline i can answer only 3 subpart .

Q: Find the minimum amount of thin sheet that can be made into a closed cylinder having a volume of 108…

A: Topic: calculus

Q: DUseThe Runge-Kutta Method SoNe the: dy X(i+メ)yco)=3 hこo.2

A:

Q: Question #9 C16: “Find the exact value of a definite integral by interpreting it as difference in…

A: We have to solve definite integral using area.

Q: 3. Tell whether the rectangular prism has plane symmetry, symmetry about an axis, or neither.…

A:

Q: dx- In x + CO

A: ∫1xdx=ln(x)Add a constant to the solution=ln(x)+C

Q: Find the local max and local min and saddle points of F(x,y)= 2x^2+y^4-4xy

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Q: 2t dt (1² +2)*

A:

Q: Determine if the sequence {an} converges or diverges. Find the limit Lif the sequence converge. an =…

A: We have to determine whether the given sequence an converges or diverges. Also, find the limit L.…

Q: Evaluate ds, where C is the path defined by c(t) = (t², 9t, 4t³3/2) where 0 <t < 2.

A: Given integral c z^2/x ds, C(t) =(t^2, 9t, 4t^3/2)  where 0&lt;= t&lt;=2

Q: I. Show that the function f defined by 1, (x, y) = (1, –1) f(x, y) = { x2 + y (x, y) # (1, –1) x + y…

A:

Q: Solve limp2 23 –4x2 +4x 3x4 –12x3 +12x2 -

A:

Q: The graph of the derivative y = f'(x) of f(x) is given below. According to the graph, we have f(0) >…

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Q: Fnd the magnitude of the resulting force. Round to the nearest Newton. B: 11.1 N, 111° A: 10.0 N, 0°…

A:

Q: For the function: f(x) = 2sin (G) on the interval [0,4Tt], find: Relative max = (t,[ ? ]) Relative…

A: This is a problem related to maximum and minimum of the function. Based on the general formula and…

Q: 4x2 Let S be the surface with equation y = + 22. 9 (a) Write the equation of the traces of S on the…

A: Here S is the surface with equation y=4x29+z2. a) For y=4 , trace of given surface will be given…