Given u = ( 5, -3, 8) and v (k, 2, 4) calculate k, by using only vector | = 2 7| concepts, where Leave your answer as an exact value in simplest form.

Q: Find the area of the region bounded by  y=x^3,y=x+6 and       2y+2=0.

A: This is a problem related to integration. Based on the general formula and concepts we will answer…

Q: ction f has the following graph: -1 4. of the following is an infinite limit? m f(r) +0+ f(x) m f(z)…

A: Topic:- limit calculus

Q: Hi there, please help me with answering this question. I am a bit confused here. It would be highly…

A:

Q: Find the rate of change of w with respect to t at i = 1 by using the chain rule. You can check your…

A:

Q: I. Evaluate the following Definite Integral. 1.) L,9 6x3+4x2-8x dx 2.) x²(2x³ + 1) dx 2x 3.) sž…

A: Integration

Q: Need

A:

Q: 5. lim X-0 e2x-1

A:

Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 4xe…

A: All four second derivative are evaluated.

Q: 1. Given the General Solution the DE, Identify the roots * y = C1e4* + C2e¬* + C3 O A) m1= 4; m2= 0…

A:

Q: Evaluate the line integral along the path C given by x = 2t, y = 6t, where 0 s t s 1. (y - x) dx +…

A:

Q: 129, given 18) Find y'= A) 2y/(2x - sin y) C) - 2x/(2y - cos y) in terms of x and y for an Implicit…

A: Given; y^2+x^2=siny+4

Q: Differentiate the following functions: 1) f (x) = 5 2) f (x) = -2x 3) ƒ (x) = -2x + 2 -2r +2 %D

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Use the function to find the image of v and the preimage of w. T(V1, V2) = (V1 + V2, V1 - V2), v =…

A:

Q: 1) Find and of the following equation then simplify whenever possible. dx dx² x = 2u* – u³ + u – 11…

A:

Q: 3) Find and d²y of the following equation then simplify whenever possible. dx dx² x = 3em y = 2mem

A: A detailed solution is given below

Q: ||r(t) × r"(t)|| ||r(t)||* Use the formula k(t) = to find «(t). r(t) = t’i + t°j %3D 126 t5 K(t) (4+…

A:

Q: Find curl (2z i + 3x j + 5y k). curl (2z i + 3x j + 5y k) (i )i + ( i j+ ( i )k

A:

Q: Find the partial derivative. 17zy

A: Given, ∂xe17xy∂x We have to find the partial derivative.

Q: Evaluate T COs(T-a)-sin 글(ㅠ- z) - ㅠ lim T - x

A:

Q: Evaluate the integral of (3x2 + 9y2) dx dy if the interior limits has an upper limit of y and a…

A:

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 5x2…

A: To write down that it satisfies the mean value theorem or not.

Q: ||r(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). r(t) = 11 cos(8t)i+11 sin(8t)j+ 3tk…

A: r(t)=11cos(8t)i+11sin(8t)j+3tkr'(t)=d11cos(8t)dti+d11sin(8t)dtj+d3tdtk=-88sin(8t)i+88cos(8t)j+3kr''(…

Q: lim,0+ ((sinx)tan

A:

Q: (2a+1)(x–2) lim x00 (3x-1)(x+2

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

Q: Evaluate the line integral along the path C given by x = 4t, y = 8t, where 0 <ts 1. / (x+ 3y²) dy #4

A:

Q: Evaluate the line integral / (6x + 2y)dx + (x – 7y)dy along the 10 cos t, y in (0 <t: curve C: x =…

A: A detailed solution is given below.

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A:

Q: 4) Find the critical points of the parametric equations x = 5 – In t y = t + Int

A:

Q: 7. lim vx2 + x + 1 – Vx2 + 1

A:

Q: dy 4 + 4y = xe'

A: To solve the differential equation by using method of undetermined coefficients.

Q: INDETERMINATE FORMS: Evaluate the limit by employing Theorem 23. f(x) F(x) f'(x) lim = lim Еquation…

A: This question is based on L hospitals rule.

Q: Without evaluating the constants, the partial fraction decomposition of 7x3 – 11 (4x3 + 7x2 +…

A:

Q: 11.) F sin (x)cos²(x)dx 2

A: Note:   As per our company policy we should answer only one question each time, so please repost the…

Q: cx2 + 8x if x < 3 Let f(x) = 1 x3- cx if x 2 3. For what value of the constant c is the function f…

A:

Q: (d) The curve y = x – x² from r = 0 to r = 2

A:

Q: Verify Green's Theorem by evaluating both integrals an_ am | v² dx + x² dy = dA ây for the given…

A:

Q: Find a Taylor Series for the function about x = 0. F(x) = In(3 + 4x) %3D

A:

Q: 4. Using logarithmic differentiation, or otherwise, find the derivative of y = (sin r)".

A:

Q: Using appropriate substitution 3. tan’x dx sec5x is equal to -cos°x + cos"x + C tan*x + 6 sec°x + C…

A:

Q: The integral TT tan x sec?x dx is an improper integral of type I that diverges is an improper…

A: To evaluate the following integral.∫π2π tan x sec2 x dx

Q: Find curl (6z i + 7x j+ 9y k). curl(6z i + 7x j + 9y k) = ( i )i + ( i )j + ( )k

A: Explanation of the answer is as follows

Q: Find V (V x F), if F(z, y, =) = 3e""i+7ze'j – 3e"k. V. (V x F) =

A:

Q: Find curl (7z i + 8x j + 9y k). curl(7z i + 8x j + 9y k) = ( i )i + ( i )j + ( i )k

A: This question is related to vectors, we will solve it using given information.

Q: dy For each of the following functions determine dr

A:

Q: 2. Determine the area of the region bounded by the curve y = x3 – x2 – 2x, and а. the x-axis

A:

Q: (a) If f(x)dx = 11 and F(9) = 17, find F(5). F(5) eTextbook and Media 300 (b) If f(x)dx = 0, what is…

A: We have to find the value and the relationship.

Q: 19. e dr

A: Topic = Integration As per guidelines , At a time only one question can be answered. please repost…

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. yz da dz dy = -36 J-24

A:

Q: Evaluate the integral (12x + 12y)dx + (9x - y)dy along the parabolic arc y = x from (0,0) to (1, 1).…

A:

Q: Let 7(t) = Find a parametric equation of the line tangent to 7(t) at the point (7, 5, 1.386) x(t) =…

A: