Scos x vsin x dx (sin x)i-(sinx) +C (sin x)i +(sinx)+c c. (sinx)- (sinx) + C (sinx)i +(sinx)+c A. B. D.

Q: 23-51. Calculating derivatives Find the derivative of the following functions. 36. y = -x cos x + 3x...

A: topic - derivative of the function

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive. Mini...

A: This is a problem of maxima and minima. Based on the general formula we will find out the value.

Q: 1.) What do you think the world will be like if Calculus wasn't discovered?

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Q: s opposite direction to the vector u = .

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Q: A. The population is 900 in the beginning and grows by 350 people each year for 20 years. B. The pop...

A: B - given is the population is 900 in the beginning and decreases by 12% each year for 5 years.

Q: Öptimal Chapter-Flight Fare If exactly 218 people sign up for a charter flight, Leisure World Travel...

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Q: Improper Integrals - Integrating a Discontinuous Integrand. In this problem our goal is to determine...

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Q: Suppose that 8 J of work is needed to stretch a spring from its natural length of 40 cm to a length ...

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Q: Graph f (x) = (1/2)* and g (x) =(1/2) ~*+3. Plot three points and also the asymptote.

A: The answer is in step 2.

Q: If f is continuous over the interval [a,b] and F (x) is any antiderivative of f(x) then f(x)dx = F(b...

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Q: LINEAR–if a linear model should be used to describe the situation. EXPONENTIAL-if an exponential mod...

A: F is exponential. 

Q: (a) Find the general solution of the differential equation dy 2xy dx x² +1 3 (b) Find the particular...

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Q: x +3 (x + 3)- 1+ 22 32

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Q: dy Given a level suface 5x?y? + 2xy = 5 with y = y(x). Find at the point dx %3D (4, 3). Give your an...

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Q: x+1 Evaluate f dx x2 A. 를 (1+즐)를 B.-름 (1+즐)를 c.(1- - - - (1- ) + C + C (1 + 3 + C + C D. 3. A OB C

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Q: 26. 2(0.1)5 + 2(0.1)6 + -…- +2(0.1)13

A: To Find: Sum of-       2(0.1)5+2(0.1)6+ .... + 2(0.1)13     NOTE :For r≠1, the sum of the first n+1 ...

Q: Evaluate fv*+1dx x2 A. 를 (1 +즐)를 -를 (1+ 즐)를 :. 를 (1-즐)를 -를 (1-2)를 + C + C + C D. + C Evaluate the in...

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Q: Find all the eigenvalues (real and complex) of the matrix A= [1   2]      [-3  -1]

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Q: Consider the polynomial equation a + 2x³ + 22x? + 50x – 75 = 0 a) Use synthetic division to show tha...

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Q: Suppose that f ƒ (x) dx = 5. Find f(u) du dz а. f(t) dt d. [-f(x)] dx с.

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Q: ydy A) y* +Sy +6 B) x+x²+x+2 x* +3+2

A: use partial fraction method to integrate

Q: In how many different ways can 5 bicycles parked if there are 7 available parking spaces?

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = square root...

A: This is a problem related to find area of the curve using integration. Please use below method to so...

Q: 2. -dx xpS

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) [0, 3] x2 - x...

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Q: a) Generate an irregular figure (original) using a grapher and with the help of two functions. b) D...

A: We have to generate an irregular figure with the help of any two functions and then have to determin...

Q: Find the derivative of f(x) = ln (x* /8 – 6x), using the properties of the logarithm. Provide vour a...

A: We will find the derivative of the given function f(x)=lnx48-6x by using the properties of logarithm...

Q: then the distance from a point P to the line L is equal to the length the component of the vector AP...

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Q: 23-51. Calculating derivatives Find the derivative of the following functions. 36. y = -x³ cos x + 3...

A: We have to find derivative

Q: The matrix A=[7    k]      [-8 −4]   has two distinct real eigenvalues if and only if k<_____ (Find...

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Q: Find all the real zeros of the polynomial P(x) = x' + x² - 3x + 1. Its real zeros are x¡ = -1 , X2 =...

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Q: 1 - cos 2x if y = prove 1 + cos x y' = 2tanx.sec²x

A:

Q: Find the integral of (1 2x) e^ (-x) dx from x-0 to x=. с. 2 А. 3 в. 4 D. 1 O B

A: ∫ uv dx = u ∫ v dx - ∫ (u' ∫ v dx) dx. ∫ (1+2x)e-xdx = -(1+2x)e-x + ∫2e-xdx ∫ (1+2x)e-xdx = -(1+2x)...

Q: Use Cramer's rule to solve the system. 4x - 2y - z= - 6 3x - 5y - 5z -6 2x - 3y = 2 Write the fracti...

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Q: g) Y2-Y1 X2-X1 h) f(x+h)-f(x) (x+h)-x i) lim-0 f(x+h)-f(x) (x+h)-x i) lim-0 f(x+h)-f(x) (x+h)+x

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Q: Using the diagram below, write AG using at least 2 other vectors. Use only AB, AD, and AE in your an...

A: From the given diagram we can see that- AD || BC and AE || CG    

Q: Use Bisection Method to find the root of æ + 10x² – 5 = 0 that lies in the interval (0, 1) to four-d...

A: Given :   x3+10x2-5=0

Q: Find the area of the region bounded by y = x^2- 5x + 6, the x axis, and the vert çal lines x = 0 and...

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Q: Find the maximum and minimum values of the function f(x) = In(x) on the interval [1,6] by comparing ...

A: Solution ) f(x) = lnx/x f'(x)=  [x (d/dx ( lnx )) - lnx (d/dx (x) )]/ x2 By differentiation divisibi...

Q: Consider the graph of f(x) = 6x-. y + 3

A: We have to find correct option

Q: d²y Find dx2 if –10x – 6y = -6.

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Q: 8. 6. If f(r) = 5 cot +4, then find the value of f'(-9) is -5 82 V82 82 V 82

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Q: x(x – 2)y" + 2(x – 1)y' – 2y = 0

A: Solution: x(x-2)y"+2(x-1)y'-2y=0 Solve using the series method: A linear homogeneous ODE with consta...

Q: Integrating Products and Powers of Trigonometric Functions Evaluate the indefinite integral. / sin't...

A: topic- indefinite integral

Q: Determine if the following statement is True or False. If the statement is true, provide an explanat...

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Q: Figure 1: Continuous and differentiable Figure 2: Continuous but not differentiable Figure 3: Differ...

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Q: e table gives the required standard weight, w, in kilograms, of American soldiers, age timeters.1 da...

A: Formula From the table  Because w increased by 2.7 kg as h increased by 4 cm  

Q: f + y*)dx dy Evaluate A. 35/2 B. 19/2 с. 37/2 D. 17/2 A O c C

A: To evaluate the given iterated integral.  

Q: 4. A concert promoter has found that if she sells tickets for S50 each, she can sall 1200 tickets, a...

A: Explanation of the answer is as follows

Q: Find all solutions to the equation on the interval (0, 27) : cos (a - %3D 5m T 47 3' 3 47 57 3 3 * 2...

A: Topic:- trigonometry ratios