Evaluate:* (s-20 Is²-9. :L-1

Q: It is possible to find a value for a so that the series 1 + n° na+1 n=1 is convergent. Select one:…

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Q: Determine whether or not F is a conservative vector field. If it is, find a function f such that F =…

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Q: Which of the following is true for the series 3n2 Σ n =0 4n°+7 O None O Divergent

A: Solving

Q: If f(x, y) = y cos(x) – x³ In(y), find the second partial derivative dy dx

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Q: Which of the following functions f : R → R is injective? o f(x) = x²,x E R O f(x) = c, c E Ris a…

A: Solving

Q: Evaluate the integrals in the following questions using integration by parts For 0 cos T0 de

A: By Parts Rule: ∫u(x)v(x) dx=u(x)∫v(x)dx-∫du(x)dx∫v(x)dx

Q: The series 33n-54-1-2n is n=1 Select one: а. is convergent but not a geometric series. O b. is…

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Q: A quadratic polynomial y = 4x2 + 7x – 3 has roots p and q. Find a quadratic g(x) x2 + ax + Bwith…

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Q: S16 sin?x cos?x dx .2.

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Q: Evaluate the integrals for 16 sin²x cos²x dx

A: ∫16sin2xcos2x dx=∫4(4sin2xcos2 x) dx                                 =4∫(2sinxcos x)2 dx…

Q: the function below f(x, y) = 2x² – 3y – 4

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Q: Obtain the general solution unless otherwise instructed d²y 1. dx2 - y = 10sin²x

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: for the function below f(x, y) = 5xy – 7x² – y² + 3x – 6y + 2 Partial Derivative for y = %3D 5x- 7у…

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Q: For the function shown bellow; Find the second order derivatives : af/ay (a^2 f)/(ay^2) f (x, y) =…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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

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Q: Question 2 [ a) [ :Explain why the following series (-1)" 1 + n5/2 n= is Alternating. b) !n. J: Use…

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Q: Evaluate tne derinite lntegral. 3 3 (9t – 4) dt 2 (일-(1 (9(9) )(a) - (20 - aco) 9(0) Therefore, the…

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Q: A car travels down a highway at 50 m/s. An observer stands 250 m from the highway. (a) How fast is…

A: Topic:- application of derivatives

Q: y"' + 4y" + 9y' + 10y = when x = y = 0, y' = -4, y" = 10

A: To find the general solution of the given differential equation.y'''+4y''+9y'+10y=-24e-x, when…

Q: (x)dx = (Type an integer or a simplified fraction.) a

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Q: Evaluate the integral of tan 2x dx tan 2x- tan 2x +x +c tan 2x - tan 2x + x + c C. tan 2x --tan 2x…

A: As per guidelines, I can answer only one question. Since you have asked for multiple, so I did first…

Q: B- derive expressions of the height, flight time and range of a projectile in terms of the initial…

A: We need to derive formula.

Q: Given the equation dx + xydy y? dx + ydy. Solve for the solution when x = 3 and y = 0 1. ( ) dx ) dy…

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Q: The curve x + y° = 3xy was first discussed in 1638 by the French philosopher-mathematician René…

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Q: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the…

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Q: Evaluate the integrals in the following questions using integration by parts For |0 cos cos T0 do

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Q: a.How long will it take an investment to double in value if the interest rate is 4% compounded…

A: Given query is to find the time taken to double the investment.

Q: Consider the function f(x) = x2 -1 (a) Find the intercepts of the graph of f (if any). (b) Find the…

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Q: Use the Chain Rule to find dw/dt. w = xey/z,    x = t5,    y = 1 − t,    z = 3 + 7t

A: To find out dw/dt.

Q: 4: A- Solve the differential equation subjected to the condition y0)=1 dx

A: Firstly separate the variables and integrate on both sides and solve the differential equation.…

Q: Find & l or In the direction of the given vector. 19) 14 B) 2/3 2/3113 2/3 2/3113 2/92/9 119

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Q: 0 cos n0 do

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Q: Use either integration by substitution or integration by parts as needed to evaluate x²+1 B A x3+…

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Q: Using L'Hopital's rule, calculate the following limit: T-sin r lim, 0 O 1/6 O 1 O does not exist

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Q: Evaluate the integral given. sec(2a)tan(2a)dx +C %3D

A: ∫ sec(x)tan(x) dx =sec(x)+C

Q: Assume that the radius r of a sphere is expanding at a rate of 80 cm/min. The volume of a sphere is…

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Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + z subject to r² +y…

A: Max   f(x,y,z)=4x+2y+zsubject to x2+y+z2=1

Q: M(x,y)dx + N(x,y)dy is an exact differential when: M N В. M N C. IN M N D. E. None

A: Topic:- differential equations

Q: [cos 3x cos 4x dx

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Q: The total cost C (in dollars) of purchasing and maintaining a piece of equipment for x years is…

A: topic- definite integral

Q: Consider the following. f(x, y) = xy2 4 r= 4 r= 3 (a) Set up an iterated integral in polar…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A: Given query is to find the antiderivative if the expression.

Q: J(x+h)-f (x) h 4x+9x+5 Problem #1: Using lim, Find the slope of the tangent line y = 3x-8 at x = -1.

A: Given: y=4x3+9x+53x−8 Let f(x) =y=4x3+9x+53x−8 We know that f'x=limh→0 f(x+h)−f(x)h Now slope of the…

Q: Directions: Read and understand each problem carefully. Solve for what is asked in each problem and…

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Q: dy 2. When does the differential equation Cekt represent exponential growth? exponential dt decay?

A: We need to explain growth and decay.

Q: 3. J

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Q: 1 е. (s2 +1)(s2+4s+8)

A: This is a problem related to laplace transform. Based on the partial fraction decomposition and…

Q: | cos 3x cos 4x dx :

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Q: L|3x – 6| dx = 30

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Q: Find the minimum and maximum of the function y = z° – 6480z on [-8, 8] by comparing values at the…

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