-4 -3 -2 -1 wo 4 -1 -2 -3 -4 -5 1 2 3 4 5

Q: Solve the differential equation y''''+y''=3x2+sinx-2cosx a) what is the complementary solution b)…

A: We have to solve the differential equation y'''' + y'' = 3x2 + sinx - 2cosx a) Complementary…

Q: -5e-cos2t O Option 4 5e-t sin 2t O Option 2 5e¹ cos2t O Option 3 5e sin 2t O Option 1

A: Topic:- application of derivatives and integration

Q: f(x) = (x² − 9) -

A: Given :f(x)=x2-923

Q: Given R(t) = 4 costi + (1+3cost)j +5sintk. Find B(t) att = 7. 3 B (t) = 3/1 - k i- B (t) O Option 1…

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Q: 5s +4 83 None of the Choices. Option 1 5t + 2t³ 5t - 2t³ Option 2 Option 3 Option 4 2t + 5t³ 2t -…

A: Let's find inverse laplace of given  function.

Q: Solve the differential equation y""+y" = 3x² + sin x - 2 cos x What is the particular solution?

A: We have to find the particular solution.

Q: hat are the cylindrical coordinates of the point whose spherical coordinates are

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Q: Is f(x) = -3 A. Yes B. Does Not Exist continuous at x = 3? C. No D. Cannot be determined

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Q: Find the rate of change of the function fin the direction of PA. Also find the maximum value of that…

A: Let's find rate of change in the given direction.

Q: η3+n2 (5) Σ=o (n+1)!

A: Series ∑n=0∞ n3+n2n+1!

Q: If given f(3) = -1 and f'(3)=5, the tangent line to the graph y = f(x) at x=3 is y = 5x +16. (a)…

A: This question is based on finding tangent equation at a point on function.

Q: to find the areas Yuse 2) Use a polar integral enclosed by the three - petaled r = singe

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Q: 6) Calculate - dx for z = ln(x + y²).

A:

Q: Given the polar coordinates (1,7π/8) determine (x,y). What is x=______. (round to 3 decimal)

A: In this question, we need to find the rectangular coordinates (x, y) from the given polar…

Q: Given the following functions: ind: f(i(x)) f(x) = 3x² − 5x + 2 g(x) = 7x² + 3x - 1 2x - 7 h(x) = 5x…

A: Given query is to find indicated composite function.

Q: f f(x)=- X+1 2x+1 1 = (2x + 1)²* 1 (2x + 1)² O 3x+1 (2x+1)²* 3x+1 O (2x + 1)² then f'(x) =

A: Topic: derivatives

Q: Find the area between (bounded) by the Curves y=x² +10x and y= 2x + 9°

A:

Q: (polar to Cartesian) In one polar plane, plot the following points and find their corresponding…

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Q: Ssin (1) dB

A: Topic:- integration

Q: Flag question Find all the possible x-values of f(x) = √√x - 10

A: In this question, we need to find the possible x-values of the given function.

Q: Find the value of the following implicit derivative tan y-sec x=5 find...y'

A: Solution is cos2(y)sec(x)tan(x)

Q: Calculate the derivative of y with respect to x. Express derivative in terms of x and y. e5xy = sin…

A: Given query is to find the derivative of the expression.

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of dy /…

A: Question- Assuming that the equation below defines y as a differentiable function of x, find the…

Q: 5x² Find all critical points of the function f(x) = 7x²–2x+6* (Use symbolic notation and fractions…

A: For critical points , f'(x) =0.

Q: Q3/Find the value of x If the approximation of the integral f f(x) dx by trapezoidal method is given…

A:

Q: 2/ Find the equation of the tangent line at (0,0) to fex) = xex хе 2 -X

A: Given f(x)=xe-x2y=xe-x2Differentiate…

Q: Find the particular solution (D² + 4D + 4)y=0 when x = 0, y = 1 and y = -1 What is the particular…

A:

Q: A. Find the general equation of the conic with the given properties. A hyperbola with foci at (4-…

A: Given problem:- A. Find the general equation of the conic with the given properties.   A hyperbola…

Q: lim x→0 tan2x-2sinx x3

A: A detailed solution is given below.

Q: dx 9-x

A:

Q: Obtain the general solution unless otherwise instructed 2. y - y' - x = 0 Ус = Ур y =

A:

Q: Σ (-1)" n=0 2n TT (2n)!

A: Given: The series is  ∑n=0∞ (-1)n π2n(2n)!

Q: Find a formula bn for the n-th term of the following sequence. Assume the series begins at n = 1.…

A:

Q: tan2x-2sinx lim x→0 x3 a. 0 b. infinity c. 3 d. DNE Find the slope of the curve y = 64( 4 + x) 1/2…

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Q: 2) lim f(x) if f(x) = {x²43) X2² fx²-9, x2 x-2 F(x) X 2.75 2.5 2.1 2.01 2.001 X 1.5 1.75 1.9 1.99…

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Q: 10 5-2 sin 8 a. find the eccentricity and identify the type of conic; b. write an equation of the…

A: This is a problem related to polar function. Based on the general formula and concept we will answer…

Q: Evaluate lim zo the limit sin 7x sin 2x

A:

Q: [CLO-3] The second derivative f"(x) of a function is given. Use this information to determine where…

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Q: {CLO-3} Find the absolute minimum value of the function f(x)=x²-3x²-24x +5 on the closed interval […

A: This question can be solved using the concept of absolute maximum and minimum.

Q: Given the following functions: Find: f(j(x)) f(x) = 3x² - 5x+2 g(x) = 7x² + 3x - 1 2x - 7 h(x) 5x -…

A: Given query is to find the Indicated composite function.

Q: (-2, 39) -4 10 20 10 10 -20 89 -30 1 (14) (27) 23 Solve the following problems. A. Given the graph…

A: Given ,  Graph of function (4) We have to tell local minimum value

Q: 9-11. Solve the derivative using chain rule. y = x + 8x² + 16.

A:

Q: 2 3s +9 Option 4 Option 2 Option 3 -3t e co 2 3 23 e 3 -St None of the choices 3 -3t 2 Option 1 e

A: Given :L-123s+9

Q: You are designing a container that is a right circular cylinder with a volume of 1000 cubic…

A:

Q: Syy-mat sama dy ³

A: Follow the procedure given below.

Q: cos³ t

A:

Q: Find the absolute maximum and minimum of the function f(x,y) = 2x² - 4x + y² - 4y +6 on the closed…

A: Solution: f(x,y)=2x2-4x+y2-4y+6 the vertices of the triangle by joining the given lines are (0,0)…

Q: 8. Evaluate z (9x² - (0x+6) dx

A: As we know that; The Sum Rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power Rule: ∫xndx=xn+1n+1+C And…

Q: A. Find the general equation of the conic with the given properties. 51 1. A parabola with directrix…

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first…

Q: Consider the series. 2 3 4 10 (¹) + ( )² + ( )² + ( )* +-- ∞ This series can be written as a…

A: