S from a = to b = = %3D sin I O In sin () + In sin() O cot -cot 플 | 4 2 O In (sin )- In(sin ) O none of these O-cot + cot "

Q: An environmental study in a community shows that the level of a certain pollutant in the air is L(P)...

A:

Q: x+k², ifx < 2 What value(s) of k will make f(x) = - continuous? %3D |kx + 10, if x 2 2

A: If the function is continuous then left limit is equal to right limit

Q: siny dx + (x – sin? y)dy=0

A:

Q: Evaluate. 25х —31 dx J (x + 5)(x² + 1) %3D

A:

Q: Consider the following functions. f(x) g(x) = 3D Зх — 5 X + 5' Find (fo g)(x). Find the domain of (f...

A: Given that: f(x)=xx+5 and g(x)=3x-5

Q: A retarding force, symbolized by the dashpot in the figure to the right, slows the motion of the wei...

A:

Q: Evaluate the integral: -dz 1372 (A) Which trig substitution is correct for this integral? Oz = 64 se...

A: Given: As we know from the trigonometric identities: 1). sin2θ+cos2θ=12). cotθ=cosθsinθ3). csc2θ=1+c...

Q: If a non-winning choice is removed from the ballot, this criterion states that the winner of the ele...

A: Option b)

Q: .2 dy Find for y dx V6 – x5 - dy %3D dx

A: We have to find dydx

Q: Find the length of an arc intercepted by a central angle 0 in a circle of radius r. r= 72.22 in, 0= ...

A: This is basic problem on angles solution is given in the next step

Q: The figure shows an angle 0 in standard position with its terminal side intersecting the unit circle...

A: As x =r cosθ and y=r sin(θ)Point (x,y) lies on the circle and 'r' is the radius of the circle.

Q: Find the maximum and minimum points of f(x) = x(12 – x)?

A: topic - application of derivatives

Q: Find the volume of the solid Formed by revolving the bounded by the graphs oF fox) =v9-X, y-axis %3D...

A:

Q: (10x -) dx

A: We can find the integration as below.

Q: 4. Determine the constant m such that f(x) = {x2 + m, if x ≥ 3                                      ...

A: Given that: f(x)=x2+m, if x≥32x-m, if x&lt;3

Q: SOLVE FOR THE FOLLOWING DIFFERENTIAL EQUATIONS. 1.(1+x4)dy + x(1+ 4y2)dx =0

A:

Q: In Exercises 19–22, show there is a number c, with 0 ≤ c ≤ 1, such that f(c) = 0.  19. F(x) = x3 +x3...

A: Use intermediate value theorem

Q: x-3 If f(x) = X-8 where is f not differentiable? %3D

A:

Q: Question 1 A 5 m chain with density 2 kg/m hangs off the roof of a building. How much work is requir...

A: A 5 m chain with density 2 kg/m hangs off the roof of a building. 

Q: rectangle is formed by the vectors (4,1) (1,3) and (3,3). Determine the area of the rectangle, expla...

A:

Q: #23

A: NOTE: Refresh your page if you can't see any equations. . take derivative here we have x=1, ther...

Q: Find the instantaneous rate of change for the function at the given value. f(x) =x + 4x at x= - 4 Th...

A: NOTE: Refresh your page if you can't see any equations. . to find the instantaneous rate of change,...

Q: Find the sum of each of the geometric series given below. For the value of the sum, enter an express...

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Q: Determine whether the given differential equation is separable. dy ye 3x +3y メ+4 2 dx Is the differe...

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Q: Use the method of cylindrical shells to find the volume of the solid formed by revolving the region ...

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Q: Sketch one possible graph of a function f(x) defined on R that satisfies all the listed conditions. ...

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Q: Find the exact value: sin 0 = where <0< T. Find: cos 20

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Q: Given the polynomial P(z) = -9z - 9z² – 5z – 20 and divisor d(z) = -3z + 2, find the quotient Q(z) a...

A:

Q: 13 Find the secord derivative cy") y= x°+3x - when

A: see below the answer submit the q12 with what to do with the question

Q: If T is the point at a distance T from P(1, 0) on the unit circle with its center at (0, 0), in what...

A: T is the point at the distance of 5π4 in the unit circle.To find the point.

Q: Let f(x) = 3 6e". Enter an antiderivative of f(x)

A:

Q: dz az C. Find ax and 4. 5x*y?z-y cos xz = 2x°+y

A:

Q: Dur heroine is trapped in a rectangular room that is 10 feet by 16 feet, with a ceiling that is 9 ee...

A: Given query is to find the rate of change of height of water in the room.

Q: Using the definition of the derivative, find f'(x). Then find f'(1), f'(2), and f'(3) when the deriv...

A: f'(x)=limh→0f(x+h)-f(x)hf'(x)=limh→0-(x+h)2+4(x+h)-2-(-x2+4x-2)hf'(x)=limh→0-(x2+h2+2xh)+4(x+h)-2-(-...

Q: The function h (t) = -25 cos(4nt) + 29 represents the height above the ground of a chair on a Ferris...

A: Given, h(t) = -25 cos(4πt) +29where ,25 = amplitude of cosine functiona) time to complete on revolut...

Q: If f(x) = 4x(sin x + cos x), find f'(x). f' (x) = Evaluate the derivative at x = 5. Enter an approxi...

A: First find derivative using product rule then put x=5

Q: Using separation of variables, solve the differential equation, e^(-y)sec(x)-(dy/dx)cos(x)=0

A:

Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros: -2...

A:

Q: dy 4x 29. dx 4x + %3D V16 - x2

A:

Q: 5. a. Explain why the vectors ả = (-2, 3) and b (3, –1) span R². %3| b. Determine the values of p an...

A:

Q: dH f(5) = 8, f' (5) = 4 f(26) = 8, f'(26) = 6, g(5) = 1, g'(5) = -9, and H(x) = f(r² + g(x)). Find d...

A:

Q: 2. Let f be the function f(x)= arctan.x. (a) Find the third Maclaurin polynomial for f. (b) Approxim...

A: To find the maclaurin polynomial for f.

Q: For problems 1e $ 19. logarithmic use differentiation to Find dy 3x ų = (sin 4x)"

A: 18)y=(sinx)3x

Q: A. Find all the first order partial derivatives of the given function. 1. f(x,y)= 2e*Y cos 4x + y co...

A:

Q: Solve the equation: (x⁵+3y)dx - xdy

A: Given that:  (x⁵+3y)dx - xdy=0

Q: 1. a. If 37-2ỷ = ở and 5x - 33 = b, express the vectors and y in terms of a and b. %3D %3D

A:

Q: Find the angle between A = 10a + 2a and B = - 4a + 0. 5a¸ , using dot product. Answer:

A: As we know that, The expression for the angle between the two vectors is: θ=cos-1A→·B→A→B→ Given: A→...

Q: Choose the correct graph of F(x) = 2 sin(2x + T): 2 1 27. 3 -1 -2

A: Find your answer below 

Q: 20 Evaluate the integral: da 2 +16 2. (A) Which trig substitution is correct for this integral? Ox =...

A: We will evaluate the given integral by using substitution method as shown below

Q: The value of tan is -1 1 undefined

A: