2–3 Find |u X v and determine whether u X v is directed into the page or out of the page. 2. |v|= 5 3. |v|=16 %3D 45° 120° l미3 4 l미= 12

Q: Resources Let f(x, y) = In(x) + In(y), r(1) = (cos(t), t). Use the Chain Rule to calculate 4f (r(t))...

A:

Q: The velocity of a car is f(t) = 5t meters/second. Use a graph of f(t) to find the exact distance tra...

A:

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. xcos2y dx + tany dy = 0

A:

Q: Determine whether the two given vectors are orthogonal, parallel, or neither. u = (4, 5,-2), v = (3,...

A:

Q: +-over [1, 2]. Find the exact arc length of y: - 3 4x

A: A detailed solution is given below

Q: Find the area under the curve 2x+3y-6%3D0 from x+63D0 to x-19%3D0

A:

Q: x) = 9x - 33x + 19x – 3, given that 3 is a zero.

A:

Q: 17. The equation that models the height above or below equilibrium in inches, h, of a spring over (2...

A:

Q: Let a, b, and c be three-dimensional vectors. Identify whether the expression a x (b x c) will resul...

A: a,b and identify whether the expression   a×(b×c)  will result to a vector or to a scalar cross prod...

Q: Find a unit vector n that is normal to the surface 4z - 2x - 3y = 14 at P = (1,2,4) that points in t...

A:

Q: Plot the vector field F = (y,sinx) using the viewing window (-2pi,2pi)x(-2pi,2pi

A: Given:       F = ( y , sin(x) )      viewing window :  (-2pi  ,  2pi)

Q: sin(1+In(2x))-/1+ln(2x)

A:

Q: Find the equation of the circle, in general form, that is tangent to the line X=−6 andX=10, and pas...

A:

Q: Calculate M, for f(x) = 6 · In(æ³) over [1, 2]. M6 ||

A:

Q: Directions: Find the limit of the following. 1. lim(x² + 2x – 1) x→2 2. lim (x³ + 8) X--2

A:

Q: Find the present value of an ordinary annuity which has payments of $600 per year for 12 years at 7%...

A: To find the present value of annuity

Q: Evaluate the definite integral. Use a graphing utility to verify your result. • T/4 6 – 6 sin2 0 de ...

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: Compute the directional derivative in the direction of v at the given point. f(x, y) = e*y-y°, v = =...

A:

Q: Consider the series 11 Determine whether the series converges, and if it converges, determine its va...

A: Use the ratio test for checking the convergence of series.

Q: Find the directional derivative of f(x, y, z) = xy + z at the point P = (2, –6, –-1) in the directio...

A:

Q: valuate the given integral by changing to polar coordinates. || sin(x² + y2) dA, where R is the regi...

A:

Q: Vn +1-

A:

Q: Identify which among the numbers are odd-numbered integrals. 1. S21 cos 7x dx 2. S csc* dx 14. S dy ...

A:

Q: Find f'(x) and f"(x). f(x) x² – 8 f'(x) = f"(x) Nood olp3

A: Given query is to find indicated derivatives.

Q: Evaluate the following integral using partial fractions: 2x2 +1 dx J(x – 1)(x – 2)(x – 3) -

A: Given: I=∫2x2+1x-1x-2x-3dx   We know that; ∫1ax+bdx=1alnax+b+C And ∫a·fxdx=a·∫fxdx ; where a is cons...

Q: rectangular box without cover has a volume of 12 m?. The width of the base is half Hhe length. Mater...

A:

Q: 1 for convergence, you can use the P-test. (You could also use the Integral Test, as To test the ser...

A:

Q: Consider the following function and express the relationship between a small change in x and the cor...

A:

Q: Approximate cos(91∘) by using a linear approximation of f(x)=cos(x) at x=π/2. Give your answer round...

A: Use derivative for finding the value .

Q: -10(3+ Find the fol- 6. Given f(x) = 1 - and its f(x) = S"(=) = lowing information and then sketch f...

A:

Q: sec x tanx (1+sec'x)² + sec

A: substitute u= sec3(x)+1 du/dx=3sec3(x)tan(x) dx = du/(3sec3(x)tan(x)) put this in equation  1/3∫ du/...

Q: fcot(x) dx

A: First written cot(x) into cosine and sine form and then by substitution find the integral.

Q: -IT 2.

A:

Q: x sec (3x) tan (3x)dx

A: Find your answer below 

Q: If ye – 6y = 5, find dy/dx. dy %3D dx

A: yex-6y=5y(ex-6)=5y=5ex-6Differentiate w.r.t x

Q: Find the sum of the infinite series. 1 + 18 · 29 1 1 + 29 · 40 1 +... 40 · 51 + 7. 18

A: We can solve as follow.

Q: [3, 5]. - Calculate Rg for f(x) = 7 – x over R8

A:

Q: 25 The function f(x) is represented in the following table. Give the best estimate for f(x)dx 10 X 1...

A:

Q: (x +1)" 2" (n+1)

A:                                                                                        

Q: Find Partial Derivatives for z = sin(x)cos(xy)

A:

Q: 3. Find g if g'(x) = 8x(x® – }) and g(2) = 3. %3D %3D

A: We will find g. 

Q: Use the Integral Test to determine the convergence or divergence of the p-series. 1 n8 n = 1 Σ 1 dx ...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: (3) Find a degree-4 polynomial that has integer coefficients and zeros v3 and 2i (A) P(x) = (x² – 3)...

A: We are asked to find the polynomial

Q: A small island is 6 miles from the nearest point P on the straight shoreline of a large lake. If a w...

A:

Q: q2

A: We have to find the eigenvalues

Q: Consider the following function and express the relationship between a small change in x and the cor...

A: Given f(x)=cot 8x

Q: Evaluate the integral. 3* dx V3* + 4

A:

Q: Suppose that a company's sales volume y (in thousands of units) is related to its advertising expend...

A:

Q: Give two Partial Variation example problems and their solutions.

A: It is required to give  two Partial Variation example problems and their solutions. It is known that...

Q: Define the hyperbolic functions as follows. e" - e e" + e sinh r .cosh a 2 sinh x and tanh a cosh x ...

A: We have to solve both Questions.