5) Find the scalar and vector projections of b onto a. a = 5i – k, b= i + 2j + 3k %3D -

Q: Simplify. sin?e + sing csce cos?e tane 2 1

A: The given problem is solved below in detail.

Q: Use Integration by partial fractions 8x2 + 8x + 2 Edx

A: Integral

Q: The position of the particle at time t is given by s(t) = t? 10t + 24. The particle is moving from r...

A: solution is given below..

Q: (a) Find the Taylor series of Ax) = usinge (b) Using the Taylor series found in part (a) find the ap...

A: Question - 1 Given function fx=11-xa=12 The Taylor series of a function f(x) at x=a is given by fx=f...

Q: Show that each function is continuous at the point indicated. 1. f(x) = 3x2 – 4x + 2 at x = 2 2. f(x...

A:

Q: An artificial wetland has been created by building an earth dam across a small creek, between the si...

A: I am attaching image so that you understand each and every step.

Q: Given: cosa= -1, sin x = - 12, A is in the third quadrant, and x is in the fourth quadrant; evaluate...

A:

Q: 2x5y ' = y(3x4+y2)

A: For the solution follow the next step.

Q: Find all values of x at which the tangent line to the curve 2x + 11 is perpendicular to the line y =...

A: Given curve, y=2x+11x+5 Aim: To find the value of x at which tangent is perpendicular to the line y=...

Q: sc 2x - cot 2x = 0 1 sec

A: We have csc2x-cot2x=?

Q: What’s -3 x 5

A: Topic:- algebra   

Q: 13 5 Given: cosa = and A is located in the fourth quadrant; find tang. -5/3 -4/3 -5/4

A: Given that cosθ=35θ lies in 4th quadrantfind tanθ

Q: A ball is thrown downward with a speed of 18 ft/s from the top of a 324-foot-tall building. After t ...

A:

Q: (x – e1)? + (y – c2)? = 1

A:

Q: Which equation below represents a secant graph with a yertical shift of 3? ay--sec(3(x)) c. y=3 sec(...

A:

Q: Given: cosg= -, sin x= - 13, e is in the third quadrant, and x is in the fourth quadrant; evaluate t...

A: Given,            cosθ=-45 , sinx=-1213 , θ is in the third quadrant and x is in the             fou...

Q: Determine whether the alternating series converges. 2(- 1)*+1 k+ 1 2k + 1 k=1 O The series diverges....

A: Alternating series test: Suppose that we have a series ∑ an and either  an=(-1)nbn  or an=(-1)n+1bn ...

Q: 4x + 1 Find a value of x, if any, at which f (x) = is not continuous. 16x + 8x + 5 Enter your answer...

A:

Q: Question 4 A ball is thrown downward wi Jot yet its height above the ground i nswered (a) Determine ...

A:

Q: Evaluate the instantaneous rate of change: (Please solve using Limits only) A spherical balloon is ...

A:

Q: 13) The marginal cost function for a particular commodity is given by C'(x) = 6x-17. If the cost of ...

A:

Q: I A man buys a motorcycle. There will be no maintenance cost the first year as the motor cycle is so...

A:

Q: If s(t) = 10t3 – 15t2 – 60t + 6, represent the position of a particle traveling along a horizontal l...

A:

Q: Newton's Law of Gravitation says that the magnitude F of the force exerted by a body of mass m on a ...

A:

Q: 4 81-72sin²0+16sin*6 do S sin 20 de 1–2cos²0+cos40

A: Let I=∫sin2θ81-72sin2θ+16sin4θ1-2cos2θ+cos4θ4dθI=∫sin2θ92-2*9*4sin2θ+4sin2θ21-2*1*cos2θ+cos4θ4dθI=∫s...

Q: tan A - sec A = sin A-1 cos A 2 sin A- cos A cos A O cos A-1 cos A

A:

Q: sin x 1+ cosx 1+ cosx + sin x 2cscx 2secx 01

A:

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A:

Q: Solve for the constants of the integration and the general form of the equation.  A particle travel...

A:

Q: cot2 x – cos2 x = ________ cos 2 x sin 2 x sin 2 x cot 2 x sin 2 x tan 2 x cos 2 x cot 2 x

A:

Q: If f(x) is a differentiable function, and n is a rational number, then Sf(x)" f'(x)dx = L4)"+1 +c n+...

A:

Q: etermine the equation of the circle graphed below. 10 8. 6. 4 -10 -8 -6 -4 -2 4 6. 10 -2 -4 -6 -8 -1...

A: We know that the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is...

Q: derivative

A: We will find the derivative. 

Q: Ve dx -2 0.

A: If the limit is finite and exist then the integral is convergent .

Q: A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels ...

A:

Q: PROBLEM 1. Solve for the general solution term by term of the ordinary differential equation given b...

A:

Q: Solve for the general solution of the equation: y'=xy

A:

Q: If s(t) = 2t-3t - 12t + 5, represent the the time intervals when the object is slowing down or speed...

A:

Q: Evaluate the Integral dz 1. S z²+4z ANSWER: 1. - In + C 4 |z+4

A:

Q: For items 1 to 4, identify which type of infinite series the given series belongs to. Then, use it d...

A: p -series ∑n=1∞1np and it is convergent if p>1

Q: Solution of ODE: Find the solution for the following ODE y'=2y

A: Topic -  differential equation 

Q: st to determine whether the series converges or 5k2 – 3k + 10k7 + 2k – k=1

A:

Q: Solve the following equation; domain 0osx < 360°; 3 cot x + V3 = 0 O 120 240 60 300

A:

Q: Given a function g(x, y) defined implicitly by the equation z*y* + sin (x² – y²) = tan-'(xz). (1) dz...

A:

Q: Calculate the derivative. y= cos x In (cos ?x) y' =D (Use parentheses to clearly denote the argument...

A: Given query is to find the derivative of the expression.

Q: Derivative Calculations In Exercises 1-12, find the first and second derivatives. 4. w = 3z7 – 7z3 +...

A: Derivatives first and second   

Q: A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels ...

A: topic - functions and derivatives

Q: 9. dx 1+ ex A - In le *|+ C C - In le x +1 + C %3 In leI+ C B D Inle x+11+ C x- O D O E None

A:

Q: 7. Evaluate the integral r8-2x (x + y + 1)-2 dydr.

A:

Q: 5. V3cotx + 2 = 3

A: Explanation of the answer is as follows