Find the derivative of the function y=(2x+5)^4(3x+1)^-5

Q: Consider the vector field F(x, Y, z) = (2xy, x², 1). (a) By calculating the curl of F, show that F i...

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Q: Find the length of the minor axis of the ellipse 16x? + 25y? = 400? 0 8 O 16 O 5 O 4

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Q: Setup an integral to find the surface area obtained by rotating the curve y = e" about the line y = ...

A:  Given: y=ex   about the line y=119  with the limits 0≤x≤4.6 To obtain the new limits and the Surfac...

Q: Let f(x, y) = sin(x – y). Calculate the directional derivative of f in the direction of v = (1, 1) a...

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Q: Let 0 be an angle in standard position. If P(-1, 2) is a point on the terminal side of 0, what is th...

A: Topic:- trigonometry ratios

Q: +0+ dx 3. = TE 1+ x2 -00

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Q: 10. If y zx[sin{inx)- cos(Inx)y find dy/dx. A. sin(inx) B. cos(Inx) C. -sin(inx) D. -cos(Inx) 11. If...

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Q: Express the function below in rectangular form, (-1+i)-1+i

A: The magnitude of -1+i is = r=-12+12=1+1=2. Angle is = θ=tan-1yx=tan-11-1=tan-1-1=3π4. So we can writ...

Q: 3x?-13х+14 dx 36х2-72х

A: Topic:- integration 

Q: 8(x – a) + 8(x + a)

A: Topic:- calculus

Q: y"+12y'+37y=10(e^-4t) @y(0)=4, y'(O)=0 * O y=2e^-6t cos(t) + 20e^-6t sin(t) + 2e^~4t O y=e^-6t cos(t...

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Q: 6. By converting to spherical coordinates, evaluate 22 dz dx dy. 0.

A: triple integral

Q: If the terminal side of a contains the point (-3,4) and the terminal side of B contains the point (1...

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis. Ma...

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Q: Assume that f(x) dx = 12, and f(x) dx = 9. Given that f (x) is positive on [0,4] and %3D negative on...

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Q: One of the parts in the proposed design of a gadget is a tapered cylinder. It is made by decreasing ...

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Q: (a) sec e = 2 e = degrees e = radians (b) cot e = 1 degrees radians

A: SOLUTION-

Q: 3. Newton's Law of Cooling states that the rate of cooling of an object is proportional to the tempe...

A: Solve these question by differentiation method. 

Q: B. EXACT EQUATIONS Find the general solution of the following differential equations dx (2) 3y sin x...

A: for the exact DE we have to make it separable DE so that we can separate the variables and then inte...

Q: S(x, y, z) = 2x'y²z²

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Q: Which of the following statements is/are TRUE? 1. The range of f(x) = tan a is (-o, +o0). %3D II. Th...

A: considering statement 1f(x)=tanxmin value of tanx is -∞ at x=-π2 and max value is∞ at x=π2Hence rang...

Q: Let R be the region bounded by the curves y = (x- 2)' – 2, x = 0, and y = 25. Find the volume of the...

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Q: 1. The derivative of f(t) = (4t² - t)(t - 8t2 + 12) is f'(t) = 20t* – 132t³ + 24t2 + 96t – 6. %3D

A: This is a question related to derivative of the function. Based on the general formula and rules of ...

Q: 4. Let V(t) be the amount of air in a balloon at any time t, find out whether the balloon is being f...

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Q: 4. Evaluate the limit of: A. 2 2 sine as 0 approaches 0. В. И с. о D. infinity 5. A trapezoidal trou...

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Q: B. The graph of f(x) is given by (-14) (1,4) (-1,-2) (5,-2) (3, -4) (4, 5) Determine is f is continu...

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Q: *n/3 27. tan'x sec*x dx 28. tan (2x) sec (2x) dx /3 29. tan'x sec x dx 30. tan'x sec°x dx 31. tan'x ...

A: solve integration  

Q: Find the area enclosed by the x-axis and the curve y= 9 – x². (A) 36 square units B 18 square units ...

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Q: xy dA, where D = {(x,y) | sin x <y < 1/2,0<

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Q: Express the function below in rectangular form, (-1+i)-1+i

A: z = -1+i-1+i                                                                         1z = -1+ii-1+iz...

Q: TC 12) csc 4 5T 14) cos 5T 16) cos 18) cos 7TC 20) csc 4. 4- 4-

A: 12) Given:           cscπ4         =1sinπ4 using the following trivial identity: sinπ4=12          =...

Q: V(x) = 5 + 0.25x² where V is the shear force and x is length in distance along the beam. We know tha...

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Q: 4. (8 points) Find a vector parametrization for the intersection of the plane x +y+z = 3 and the cyl...

A: Use polar coordinates for Parameterization

Q: It is known that the population of a certain country at time t is proportional to the people living ...

A: Given:- It is known that the population of a certain country at time t is proportional to the people...

Q: Evaluate, thus Is 27- 5) Calculate the Taylor polynomials T2 (a) and T3 (x) centered at a = a of the...

A: Taylor polynomial is given as                                                                   Tn(x...

Q: What value of x does NOT satisfy the equation sin' x + sin x = 0? O 3T 2 O T O 2T 卡|2

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Q: 4. y = tan(x+ a), 5. y = Aex + Be2x, 6. y = A sin 3x + B cos 3x, ,where A and B are arbitrary consta...

A: According to bartleby guidelines when student ask multiple subpart question then expert must have to...

Q: Find the standard form of the equation of the hyperbola with the given characteristicS Foci: (0, ±9)...

A: The hyperbola has,  Foci: 0,±9; asymptotes: y=±3x

Q: (x – 1)2 (y + 1)2 1? Which of the following lines is an asymptote of the hyperbola 9. O 3x + 2y - 1 ...

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Q: obtain the general solution.  dx =t(1+t2)sec2xdt. (1+In x)dx+(1 +In y)dy =0

A: (1). The given differential equation is: dx=t1+t2sec2x dt

Q: For the following equation, show solution for determining the coordinates of the point of intersecti...

A: The given problem can be evaluated as follows:

Q: 14. Choose the best answer. Find the value of the remaining side of the triangle t a = 11, b = 6, C ...

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Q: ACTIVITY 2 :Keep Practicing! Answer the following problems : 1) Find the number in the interval 12, ...

A: Given interval is [-2,2] Iy is required to find the number so that the difference of number from its...

Q: 6. If f(x) = x³ - x, find and interpret f"(x)

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Q: Suppose a product's revenue function is given by R(q) is units sold. -4q +200q, where R(q) is in dol...

A: Revenue function is R(q) = - 4q2  + 200q Differentiate with respect to q R'(q) = - 4 (2q) + 200(1) R...

Q: x+1 dx

A: We need to integrate∫x3+1xdx

Q: Find the area of the region bounded by the curves y = xe3x-+3 x-axis and the lines x = 0 and x = 1. ...

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Q: .3 f(x)dx = 5, f(x)dx = 2, and f(x)cx= - 1, find f (x) dx If A) 2 в) -з c) 3

A: Topic = Integration    

Q: Find the particular solution: (D² + 3D + 2)y = 12x²

A: Given thatdiffrancial equation D2 +3D+2y=12x2auxiliary equation is m2+2m+2=0i.e m+1m+2=0⇒m=-1,-2C.F....

Q: 2x + y cos (xy)] dx + xcos ( xy) dy = 0

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