Find the value(s) of a making i = 7ai – 33 parallel to w = a²i+3j.

Q: Find the area of the parallelogram that has u = i – 2j + k and = 3j + 2k as adjacent sides. NOTE: En...

A: Area of parallelogram with adjacent sides u→ and v→ is defined as u→×v→

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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

Q: 5. S V16dy = 6. J 2 V8dc 7. J 3 27dx

A:

Q: S(6w +12w) Vw + w° dw

A:

Q: Evaluate fv2 2) (2a? – 2?) dæ æ²) - -

A:

Q: QUN Fiad devalerf (m) that make the ange betueen te ne veopal

A:

Q: Find the area of the parallelogram that has u = i – j+ 2k and v = 2j + k as adjacent sides. NOTE: En...

A:

Q: A rope passing through a capstan on a dock is attached to a boat offshore. The rope is pulled in at ...

A:   using pythagoras theorem;z2=x2+42z2 =16 + x2  ....(1)Differentiating w.r.t time t;2z dzdt=0+ 2x dx...

Q: - (2e'cos t) i+ (2e'sin t)j 7K Find T, N, and k for the space curve 7k.

A: Given,           The space curve is rt=2etcosti+2etsintj+7k.To find : Find, T, N and k for the given...

Q: 4- If a function is differentiable at zo, then it is : a) Differentiable on C b) Continuous on C c) ...

A: To answer the given question about the complex function.

Q: If f(4)= 3 and f'(4) = –5, find g'(4) when g(x)=² (4) Your answer

A:

Q: (2) Find the value of B (,-)

A:

Q: 1: Find the area of the region bounded by the graphs of x = y², y = x + 3, y = -3 and y = 2.

A: The region is bounded by x=y2, y=x+3, y=-3 and y=2

Q: The rectangular coordinates of a point are given. Plot the point. (-3V2, -3V2) y y 6 4 4 2 2 -6 -4 -...

A: Option 4

Q: Note: Values of x should be typed in INCREASING order from LEFT to RIGHT. DO NOT include spaces in b...

A: A function is f(x) is said to be continuous at x=a iff  limx→a-f(x)=limx→a+f(x) A discontinuous fu...

Q: EVALUATE THE INTEGRAL

A:

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A:

Q: Below shows the graphs of the slopes of the tangent line of four different functions. Which of the f...

A: There is condition When Graph is not Continuous, that means graph is not breaking at any point  so t...

Q: 1. Determine if the series cos" en? is absolutely convergent, conditionally convergent, or n=1 diver...

A: Given

Q: Evaluate the given integral, choose the answer in the box 1/(t-1) 2x S(-1)^5(x-1) -2/(x-1)^2 2/(t-1)...

A:

Q: B.Determine f (x) given that f'(x) = t* – t3 + t2 +t-1

A: We have to integrate the given function to calculate f(x). Integration of xⁿ = (x)n+1/n+1

Q: 4. Determine whether the scrics is absolutely convergent, conditionally convergent, or divergent. k ...

A: Here we have, ∑k=1∞-1kkk3+2=∑k=1∞-1kak 

Q: 1 Evaluate the following integral. dx X4V9-x2

A: ∫vn dv = vn+1n+1+C

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A:

Q: 4dx + (x — у + 2)?dy %3D 0

A:

Q: rtoo Е. re dx स०२२

A:

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where approp...

A: Given; I=∫2x3-16x2-39x+8x2-8x-20dx We know that; The Power rule: ∫xndx=xn+1n+1+C And ∫1ax+bdx=1alnax...

Q: 12 DO NOT include spaces in between characters. * Find the equation of the tangent line to the graph...

A:

Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by par...

A:

Q: A math tutor charges $30 for the first hour of work at your house and $20 for every hour (or fractio...

A: Use the value of x for finding the limit. 

Q: Find the vector component of v = 2i – j+ 3k along b = i+ 2j + 2k and the vector component of v ortho...

A:

Q: Solve the following initial value problem. ye) -2y"+ y' 4 +8x e*; y(0)= y'(0) = 0, y"(0)= 1 The solu...

A:

Q: B. Directions: Using special functions, evaluate the following:

A: Question 1,Given,           limx→0sinlnx5lnx

Q: 28. 5 29. (x + 1)(x – 1) 30. 을 (x-1)5

A:

Q: (6) Shipping fees (or shipping charges) are often based on a formula that offers a lower charge per ...

A:

Q: Use the intermediate value theorem to show that f(x) = 4x^3 - 6x^2 + 3x - 2 has a root between x = 1...

A:

Q: Find the radius and interval of convergence of the given power series. +o0 (x +3)" Σ 1. n5 +1 n=0 +0...

A: Given problem:-     To find:- Interval and radius of convergence of given series

Q: Fg(x) = 1 Vx-1

A:

Q: Without giving a numeric example, explain using the LEAST number of words the steps needed to conver...

A: The vector equation of a plane in normal form is   r.n^=d Here r is the position vector of a point l...

Q: Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact answe...

A:

Q: (a) Oppositely directed to v = (7, –20) and half the length of v. 7 V449 -20 w = 898 8. (b) Length v...

A:

Q: Write an equation for the function graphed below. The y intercept is at (0,-0.2) -7 -6 5 y = Questio...

A:

Q: ctoo The improper integral I' dx converges for p<-1. True False

A:

Q: Find the Laplace transform for the follow e-t sin t

A:

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(r) = 4x + 7...

A:

Q: Find the area of the region bounded by the given curves. y = 9x In(x), y = 36 In(x) %3D

A:

Q: Calculate the integration from the following figure y 2 y=x-4 A

A: To evaluate the integral for the region shown  

Q: Let a = ci + jand b = 5i + 12j. Find c so that the angle between a and b is- %3D Round your answers ...

A:

Q: Your factory is going to manufacture a rectangular container which has a fixed capacity V, with a sq...

A: The Volume of a box with a square base  x by xand height  h is V = x2hh=Vx2The amount of material us...

Q: 1 1. lim In (x- 2) x-3 X-3+

A: