46 csc B tan B = tan B csc B sec B cot B

Q: Question 4 x³dx (x²+2) ³ 1 A 2(x²+2) ' 2(x²+2) ? 1 1 В 2(x²+2) 2(x²+2) ² 1 +C 4(x²+2) ' 2(x²+ 2) 2 D...

A: Here, the given integral is: I=∫x3(x2+2)3dx⇒I=∫x2x(x2+2)3dx...(1)

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

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Q: 13 The polynomial equation x4 - 6x3 + 10x2 + 2x - 15 = 0 has solution set _____. {3 + i, 2 - i, 3,...

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Q: dx -1 2x+3

A: To solve the following integral

Q: ACTIVITY 3: Estimating slope of a tangent line, limits of a function & One-sided limits Estimate the...

A: We are given the curve, fx=-2x2+3x+5 We need to make a tangent line at the point P1,f1. f1=-212+31+5...

Q: What integration technique can be used to integrate: 2xdx 3+ x2 O Integration Formulas Trigonometric...

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Q: Q2 LB/

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Q: Parametrize the following two curves in R3 and find their arclength. (1) the intersection of the cyl...

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Q: To integrate v3 x2dy we apply integration by parts and in the form u dv, u is set as: 2 of 11

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Q: 2 XA)=T\(x+A) Coupunonz 12. Let f(x,y)3x2+y² find the relative extremum, and determine whether it is...

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Q: sy (2 where yco,t) = y (5,t) = 0 = 2Jx2 and y (x, o) = 10 sin 4T X - 32 t |Anst y cx,+) = 1o e" sin ...

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Q: curve in the xy-plane is denned by the vector valued functic dy in terms of t? dx? where x(t) = 2 ln...

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Q: x sir

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Q: . Express as a single logarithm: loga x + loga(x² – 16) – loga7 – log.(x- 4).

A: The given expression is logax+logax2-16-loga7-logax-4. We have to express single logarithm. To solve...

Q: Prove: 1. tan (A/2) = - cos A 1 + cos A sin A 1+ cos A 2. tan (A/2) = ±

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Q: А. Σ 5n –1 n=1

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Q: Use the divergence theorem to find the outward flux of the vector field F(x,y,z) = 5x^2i + 4y^2j + 3...

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Q: 11. Determine three positive numbers x, y and z whose sum is 10 that produce a maximum value for the...

A: Given problem:- Determine three positive numbers x, y and z whose sum is 10 that produce a maximum v...

Q: For the given function f(x,y)=x<y3+3x³y, find a flay O 2xy³+9x² y • 3x3y2+3x3 6xy2+9x2 O 2+18xy

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Q: 1- cosx dx A -2/2cos- +C B 2/2cos- +c -2/2 sin-+C 2 D 2/2 sin- +C

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Q: The domain of the graph y = cotx is all real numbers -15xS1 -13xS1 all reals except kT

A: Given query is to find domain of cotx .

Q: 3. f(x)=2cot(x-→+1 Period: f(x) Vertical Shift Horizontal Shift Start End: Increments:

A: According to question,Given function,fx = 2 cotx - π2+1

Q: 교-3 with n5+3 Write an inequlity comparing for n 2 1. n3 (Express numbers in exact form. Use symboli...

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Q: cos4x - sin4x = cos 2 x 2 cos 2 x -cos 2 x

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Q: Find u•v, where tetha is the angle between u and v llull=4, llvll=16, tetha=2pi/3

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Q: Solve the problem. Find the area of the triangle determined by the points P(-3, 6, -4), Q( 2, 10, -9...

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Q: Given the function y=f(x), y' is found to be negative over the interval (4,8), then over this interv...

A: we have of cheek and find answer

Q: What is the equation of the tangent line and the normal line to y = x2 – 4x + 2 at (4,2) respectivel...

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Q: Find the exact length of the curve. y = ln(1-x2), 0 ≤ x ≤ 1/9

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Q: Write the first five terms of the recursively defined sequence. a1 =6, ak+ 1 %3D %3D a2 = 23 = a4 a5...

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Q: An object is moving horizontally in a straight line. The object's position is given by the function ...

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Q: 5a) Using the formula man = lim+)=/G2 determine the derivative/ slope of tangent for h→0 the given f...

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about r = x0 and then find the nth Taylo...

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Q: - Apply the eigenvalue method to find the general solution of the given system. Find also the corres...

A: Find your answer below 

Q: Differentiate the function. t(t? g(t) = In + 1)4 5 2t – 1 g'(t) =

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Q: Find the solution of the differential equation that satisfies the given initial condition. dp/dt = ...

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Q: 1 -dx Use the technique of completing the square to evaluate the following integral: J x2 - 6.x

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Q: Find dy/dx for: y= (sec x)/x

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Q: A population is modeled by the differential equation 1.20(1 -) dP dt 4300 (a) For what values of P i...

A: Given :dPdt=1.2P1-P4300

Q: 2. If z y where z= s cos t and y=s sin t, find az/ôs and az/at.

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Q: Given f(x,y) = x3y-3xy³. Evaluate fdy O 14y-27y + C 6. O -6y³ +8y/3+ C бх2 - O 6x2 – 45x + C 4 2x2 –...

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Q: 1. Find the work done by the force F(x, y, z) = (xz, z² – x, y ), along C, the curve defined by x = ...

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Q: If Ax) = x² + 3x – 2 and g(x) = X+2 then g(f(-1)) is equal to 6.

A: The objective of the question is evaluate the value at the given functions of composition.

Q: Find the slope of the line through (-1, -1) and (-1, 3). undefined -1/2 0 -4

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Q: Find the indefinite integral. X COS 9TX

A: Given,I=∫ xcos9πx2dxPut u=9πx2Differentiatedu=9π(2x)dxdu=18πxdxdu18π=xdxThereforeI=∫xcos9πx2dxI=∫cos...

Q: Find the derivative of each function by using an appropriate differentiation rule. 1) f(x)=3x^3 - 4...

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Q: A curve in the xy-plane is defined by the vector valued function f(t)= (x(t), y(t)), d'y in terms of...

A: Given : x(t)=2ln(t)y(t)=2sin(-5t)   To find : d2ydx2

Q: If f(x) =x² +1 and g(x) = 2x + 3, find all values of x where the derivative of fAg(x)) is equal to t...

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Q: For which value ofx is the derivative of f(x) = (x+ 1)*(x+ 3)* equal to 0? -3 c. 1 d. 3 a. с. b. 0

A: Here we have to determine for which value of x is the derivative of f(x)=(x+1)8(x+3)4  

Q: Solve using alternating series

A: