cot 0 sin 0 cos 0 =

Q: A given partial fraction Cx +D x² +1 2x A B + (x- 1)(x+4)(x²+1) x+4 X-a A can be evaluated as: O 1/5...

A: Take LCM of the right hand side and the put x= 1

Q: sin(In r) 5. Use the Squeeze Theorem to evaluate lim 1-40+ In (sin z)*

A: Solution is given below:

Q: Evaluate the surface integral F*n d-sigma where F = 2xi +4zj - 4yk, and S is the part of the sphere ...

A: Value of the surface integral is

Q: Q1 Choose only two: x+5 12+3x - 2. VI

A:

Q: the series using any appropriate test from this chapter. Identify t t with the p-series

A: We have to choose the correct  options according to the given information

Q: Let 8 be a twice-differentiable function with g'(x) > 0 and g"(x) > 0 for all real numbers x, such t...

A: We have to find g(6) 

Q: Given the vector u = - 6i – 3j, find the magnitude and angle in which the vector points (measured co...

A: Here we will find the magnitude and direction of given vector,

Q: 14 2

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: Determine the amplitude, period and displacement for the given function, and sketch the graph of the...

A: Function y=32sin2x+π6 is given.We have to determine amplitude, period and displacement for the given...

Q: Solve the initial-value problem with the initial condition y0 = 0. dy dt = y − 2 y =     Graph the s...

A:  

Q: (2x-y²)² (x,y) + (0,0) Let f(x,y) = x²+y4 2, (x, y) = (0,0) Find the slope of the tangent line to th...

A:

Q: 22 Choose only two: (- A) Graph the two equations and find the points in which the graphs intersect....

A: To answer the given question about the parabolas.

Q: Determine the real number ? such that vectors a = 3i + 2j and b = 6i + ?j are orthogonal.

A:

Q: 3. A ball is launched vertically into the air from a height ofh meters and with an initial upward ve...

A: Given: A ball is launched vertically into the air from a height of h meters and with an initial upwa...

Q: ders n = 0,1,2,3, and 4 about x = %3D X0, and then find th

A:

Q: rior to the circle Find transformation which maps outside| z | = 1, on the half plane R (w) 2 0 %3D ...

A: Given transformation which maps outside z=1 on the half plane 

Q: Directions: Evaluate the following. Show ALL necessary solutions. x³+2x²-1 1. lim x--2 5-3x 2. lim v...

A: In this question we have to find the limits. Note: As per our policy we are suppose to do only 1st t...

Q: 00 Σ n2(n2 + 6) n = 1 1. n2(n2+6) =L>0 converges

A:

Q: Compute N(0) if r(t)= and prove that T(0) and N(0) are orthogonal

A:

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

A:

Q: For the graph, calculate the following quantities.  1) y'(5) if y(x)=f(x)g(x) 2) y'(2) if y(x)=((f...

A: Given the graph 

Q: Use a scientific calculator or unit circle to convert the polar form of the complex number to its eq...

A:

Q: Choose the correct equation for the graph: 1 -21 -Зл 37 .2 2 2. -1 -2 2.

A:

Q: Convert each degree measure into radians. 13) -780° 14) 345° 15) 150° 16) -250° Convert each radian ...

A: As per guidelines we can answer we can answer only one question at a time, so question no 13,14,15 a...

Q: Find an LU decomposition for the coefficient matrix and hence solve the system of equations xị -2x2 ...

A: We can write the given equation as:  1-231-121-13-613x1x2x3=7-313 The coefficient matrix is: A=1-231...

Q: Ferris wheel with a radius of 5 m is rotating at a rate of one revolution every two minutes. Exactly...

A:

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

A:

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: Write a chain rule formula for the following derivative. dw for w = f(x, y, z); x = g(r, s, t), y = ...

A:

Q: If f(r, v)= +y-2y, find fa (2, 1), f (2, 1), fay(2, 1) and fy(2, 1).

A: Given a function f(x,y)= x3+x2y3-2y2 Now, fxx= ∂2f∂x2=∂∂x∂f∂x fyy= ∂2f∂y2=∂∂y∂f∂y fxy=fyx=∂2f∂x∂y=∂∂...

Q: Tutorial Exercise Confirm that the Integral Test can be applied to the series. Then use the Integral...

A:

Q: Question 6 evaluate Sa dx A -sin2x +C B -cos2r + C 2cosx + C 2sinx +C

A:

Q: > A Moving to the next Question 2 dz Let z = 6e*v find O 12xy e**y O 18xy e**v O 18x*yex*y A Moving ...

A: Find the derivative

Q: Solve the system of linear equations using direct method for an exact solution Cramcis x + 2x2 + 6x;...

A:

Q: Case 3: non-repeate quadratic factor (x²-x-21) Example 1: S 2x3-x2+8x-4

A: Given

Q: 2) a. The graph ofthe function f(x) = ax²+ bx + c has the y- intercept of 3, and its tangent at the ...

A: Let's find. 

Q: Determine the convergence or divergence of the series using any appropriate test from this chapter. ...

A:

Q: 2.2.7 Exercise Let X be a nonempty set and S the smallest o-algebra in X which contains all singleto...

A:

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

A:

Q: Find dy/dx. No need to simplify. With explanation

A:

Q: The radius of a spherical ball is increasing at a rate of 2 cm/min. At exactly what rate (in cm2/min...

A: Given :radius of spherical ball is increasing at a rate of 2cm/minso, drdt=2cm/min

Q: Use the given vectors u and v to find the magnitudes of vectors u − v and −2u. u = 2i + 4j + 7k, v =...

A:

Q: Differentiate the function. y = In(e-X + xe¬X) y' = II

A:

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

A:

Q: Find the equation of the sphere in standard form that satisfies the given conditions. center C(−1, 5...

A: Given, Centre =C(-1,5,4) And Radius , R=4  

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

A:

Q: Find the radius of convergence and the interval of convergence. k (x + 8)* k=0 Radius of convergence...

A: We can find the radius of convergence and interval of convergence of the series by using the ratio t...

Q: Rotate the axes so that the new equation contains no xy-term. Analyze the graph the new equation

A:

Q: In the quadratic equation Ax2+ Bx + C=0; describe the roots when 32 _ 4AC is positive. The roots are...

A:

Q: 2п +1 Е. У Зп +2 n=0

A: ∑n=0∞2n+13n+2    Thus,  an=2n+13n+2    Thus, we can proceed further with ratio test