Evaluate the definite integrals using the graph of f (x) below. 4- y 2- 2 10 12 -2- -6 (a) Number (b) f (x) c Number 10 (c) f (x) dr = Number 1.

Q: In Exercises 1 – 3, find (a) shape, (b) amplitude, (c) period, (d) width, (e) shift, (f) (x,), T1, x...

A: Given: (1)     fx=3 tanπ x-2π3-2 (2)    fx=-3cot2x-π3+1

Q: Find Sta | tan (ay) dy 32.

A: We have to find integral of given function.

Q: 2 . Complete the following tables of values to investigate (x - 2x + 4) f(æ) f(x) 0.5 1.6 0.7 1.35 0...

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Q: Prove the identity 1÷(1-sinx) =sec^2 x +tanx secx

A: 1(1-sinx)=sec2x+tanxsecx

Q: A wound is healing in such a way that t days since Monday, the area of the wound has been decreasing...

A: We have to find area on Monday.

Q: The stopping distance for an automobile (after applying the brakes) is approximately F(s) = 1.1s + 0...

A: Given:- The stopping distance for an automobile (after applying the brakes) is approximately F(s) = ...

Q: 10 – 2x6 dx

A:

Q: 14. Consider the function f(x) = xª – 2x?. %3D - a) Find the interval(s) where the function is incre...

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Q: y'dx-(xy + y* kty = 0 1. Let the substitution v=2; y= vx; dy = vdx+ xdv

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Q: Let f be a differentiable function. If f(50) = 378 and f'(50) = 6, use a linear approximation to est...

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Q: [5tan 20 elan 28 sec? 2 Bd B 1.

A: Gievn, ∫5tan2βetan2βsec22β dβ We can solve this by substituting u=tan2β  

Q: Find the tangential and normal components of acceleration at the given time t for the plane curve r(...

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Q: Seax sinh ax dx ах

A: Given integral is  ∫eax·sinhax dx To evaluate the value of given integration, we will use the    sin...

Q: Rewrite the statement in mathematical notation. (Let n be the number of cases of Bangkok flu and t b...

A: Given that - There are currently 200 cases of Bangkok flu, and the number is growing by 20 new cases...

Q: Question Evaluate the following limit using L'Hospital's rule. (푸)( lim (cos(6æ))

A: We will solve the given limit by L' Hospital rule

Q: d²y Solve: dx2 dy + 42+ 4y = 4x²e¬2x, cos 2x %3D dx

A:

Q: Let a2 az A = | b1 b2 b3 C1 C2 C3 Suppose that det(A) = 3. Find the determinant of the following mat...

A: On changing determinant of row to corresponding column, there will be no any change on determinant.s...

Q: Determine the derivative of f(x) = 3 x² In x with respect to x. f'(x) = |

A: We have to find f'(x)

Q: 3. /4(1-)esc (1-y)dy

A: We have to solve the integral

Q: Which of the following is not in the domain of sec(x)? Select all correct answers. Select all that a...

A: To find the points which is not in the domain secx

Q: Suppose h(1) = (f(x) + VI) · g(x), f(4) = 3, g(4) = -1, and f'(4) = gʻ(4) = 5. What is h'(4)? Expres...

A: solution:-Given:h(x)=f(x)+x·g(x)f(4)=3g(4)=-1f'(4)=g'(x)=5

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = 0 for f(x) = sin(x). (Use symbolic ...

A: We will find the T2(x) and T3(x) for the given function.Below find the solution in the image.

Q: Find thlength of the curve.  Y=1/6(x^2+4)^3/2, 0<x

A: We have to apply arc length formula to solve the problem

Q: DEvaluate the Riemann sum for f(x) = x- 1, -6<x<4, with five subintervals, taking the sample points ...

A: A function is given that is f(x) = x - 1. We have to find the Riemann sums for f(x) on the interval ...

Q: Question 1 Find the limit. lim,-0(1 + 6x )' where r = 9/x. Write the exact answer. Upload your work ...

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Q: 4х + 3 dx x2 +1

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Q: For the function f(x) = sec x, which of the following are not possible values of f(x)? Choose all an...

A: From the definition of secant function, the range of secant function, y = sec (x) is y∈(-∞,-1]∪[1,∞)...

Q: 3. Construct a table of values to investigate the following limits: 10 a. lim T→3 x – 2 10 b. lim T→...

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Q: Consider the graph of f(x) given below. (a) Analyzing the graph, if g(x) = f(æ), then g(x) is increa...

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Q: cot e*dx e2x +1

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Q: Question Evaluate the following limit using L'Hospital's rule. lim 3 In (x) 15х — 15 Provide an exac...

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Q: 57 37 Convert the point (p, 0, 4) = ( 5, 3 to Cartesian coordinates. Give answers 4 - as decimals to...

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Q: The number of a particular fish in thousands x years after 1971 can be modeled by f(x) = 230(0.888)*...

A:

Q: Let   f(x, y) = √y - 2x.              NOTE: The y - 2x is all under the square root! - What is the...

A: As per the instruction, we will answer only the first one. Given f(x, y) = √y - 2x. So, domain for s...

Q: Given the differential equation y" - 3y' = &x2 + 7x – 11 Determine the Characteristic Equation for t...

A: here we have to find characteristic equation and solutions of given differential equation.

Q: Edgar the engineer uses many complicated equations in his work. Before doing lengthy and time consum...

A: Hey, since there are multiple subparts posted, we will answer the first subpart as in b it asks to r...

Q: 7/2 sec*(t/2) dt

A: Here we will solve the given definite integral,

Q: solve the second order differential equation ; y''+4y'+5y=8xsinx

A:

Q: fre x'e*dx

A: Given: ∫0∞x2e-xdx

Q: Find the following limit. If the limit is an integer, record the value of the integer (fractions sho...

A: Use the basic of continuous function. 

Q: Set up, but do not evaluate, an integral for the length of the curve. y = x - 3 In(x), 1< x < 4 4 dx

A: The given curve y=x-3 ln(x), 1≤x≤4

Q: Let   f(x, y) = √y - 2x.              NOTE: The y - 2x is all under the square root! - The contour...

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Q: 41. D 6x° A 30° ДАСD 3D ДАСВ

A:

Q: faywyn = fæwwyy fææryy xyx xxxYy True False

A: Given :

Q: Determine the values of x for which the given function is undefined. (Let k be any integer.) y = co...

A: To determine the values of x for which the given function is undefined. y = cot x 

Q: Determine the parts U Ind du for the following integral XVX-3 dx

A: Given query is to find the integration using substitution.

Q: Find u v. u = 4i - 3j v = i - j V U V =

A: Finding the dot product of u and v

Q: Question 7: Evaluate v² dv (Reimann Method)

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Q: х - у ·+1 х+у y 2. ||

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Q: 8x sin x y" + 4y/ + 5y = 8x sin x 1. ollowing econd ifferential equation:

A: The given differential equation is:y''+4y'+5y=8xsinx