Use the Chain Rule to find az/as and az/at. Z = tan(u/v), u = 8s + 2t, дz as дz 34 || || v = 2s - 8t

Q: Evaluate 8 5 3 √√3x+1 - dx

A:

Q: What is the reference angle of θ if θ = –137°? A 43° B 47° C 137° D 223°

A: Explanation of the answer is as follows

Q: week 5 discussion Section 4.1 #36 find the inverse function. those illustrated in Example 2, Check…

A: We have   f(x) = 3/4 x

Q: What is S₂²1² dx ? 2 1+3x² (tan¯¹ (3√√/3) — tan¯¹ (2√√/3)) ·(tan¯¹ (3) — tan−¹(2)) tan¯¹ (3√√/3) —…

A: We have to find the proper integral.

Q: IV. Use the properties of the dot product to evaluate the expression, assuming that u v = 2, ||u|| =…

A:

Q: 10

A: total derivative of function z = f(x, y) is given as dh(x,y)=∂h∂xdx+∂h∂ydy

Q: The complete graph of y = f(x) is given below. Use it to graph the following function. g(x) = f(x) +…

A:

Q: 10 a) Find the simplified form of the difference quotient for the function f(x) = b) Complete the…

A:

Q: Consider the following. x = ln(t), y = 2t, z = t², (0, 2, 1)

A:

Q: d'y dr² dy - 2x +2y=x²³, dx

A: compare this equation with  so here we have write the auxiliary equation for the homogeneous…

Q: What is the equation of the square root function in the graph? y = y 10

A: NOTE: Refresh your page if you can't see any equations. . the square root function is in the form…

Q: Check that the point (−1, 1, 3) lies on the given surface. Then, viewing the surface as a level…

A:

Q: The cost of sending a large envelope via first-class mail is $0.76 for the first ounce and $0.18 for…

A:

Q: Calculate the integral approximations Tê and M₁ for ſå xª dx. Your answers must be accurate to 8…

A:

Q: You wake up one morning, and find yourself wearing a toga and scarab ring. Always a logical person,…

A:

Q: Find the mass of the two-dimensional a density function of p(x)= x³-5x + 6. object. An oversized…

A:

Q: A certain electronics manufacturer found that the marginal cost C to produce x DVD/Blu- ray players…

A: marginal cost =c = 0.04xx =DVD/Blu- ray players DVD/Blu-ray players were produced 7x +800marginal…

Q: Use the graph and the function to find the following. a) Find lim k(x). x--1 b) Find k(-1). c) Is k…

A: limit existance conditionif LHS limit = RHS limit continuity existance conditionif LHS limit = RHS…

Q: Show all steps to prove the statement is true. Neatly show each step of your work to earn full…

A: Given Trigonometric expression  ( 1 - sinx )( 1 + cscx ) = cscx - sinx

Q: classify and sketch the surface given by x2+2y2+z2-4x+4y-2z+3=0 (indicate the vertex coordinate)

A: Here we have given a surface equation as below:  x2+2y2+z2-4x+4y-2z+3=0 The surface given by the…

Q: he graph of f(x) = ax² +bx+c where a, b, and c are constants, passes through the (0,1) and is…

A:

Q: The owner of a skating rink rents the rink for parties at $1000 if 50 or fewer skaters attend, so…

A:

Q: Integral is convergent or divergent. Evaluate those (c) (d) S 2² 9+x6 dx

A:

Q: find the general solution (GS) of the following initial value problem (IVP): y₁ = y₁ + 3y2 where y2…

A: The given system of differential equations: y1'=y1+3y2y2'=13y1+y2Initial conditions are:  y1(0)=12…

Q: 4. Graph f(x)=-2log, (x-5)+3 Show your work.Write Domain and range.

A: According to  question,given function,fx= -2 log3x-5+3

Q: the two-dimensional object. An oversized hockey puc = g _52+6. 495 2

A:

Q: x7-9

A: We know that the integral of x^n dx= x^(n+1)/(n+1)

Q: I The region formed by y = 3x - ³y = 2, and y-axis is revolved around the y-axis. Find the volume.…

A: The region is formed by the curves, y=3x-x3y=2x=0 y-axis Shell Method formula- The volume of a…

Q: What is an antiderivative of the function x + 2xln(x) ?

A: We have to find the antiderivative of the given function. On the basis of formula of integration of…

Q: 8. For f(x, y) == xex²y Find fx (1, 2) {needs product rule}

A: Explanation and some important formulas:

Q: Complete the computations in Exercises 5-8. 5. (6,0, 5) + (5,0, 6) = 6. (0,0,0) + (0,0,0) = 7. (1,…

A:

Q: [200] Given E=1 42, determine, L3 3 1 1 the determinant of E. 2 the matrix of the minors. 3 the…

A: E=200142331

Q: Given the function f and the point Q, find all points P on the graph of f such that the line tangent…

A:

Q: Find the limit. lim (x,y) → (9, 9) 3 3,,2 (x²√³ - x³y²2) -

A: Apply L'hospital rule in limit

Q: 2. The normal line slope of f(x) = (a - 1)x² + 3x - 2 is GIN at x=-2, a=?

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: In three-space, find the intersection point of the two lines: [x, y, z] = [-2, 3, −3] + t[1, x = 3-t…

A: We have given that Two lines  [x, y, z] =[-2,3,-3]+t[1,-1, 2]  ----(1) and   x=3-t y=-5+ 2t…

Q: What is the rectangular form of the polar equation? 0 = 7T --V³ √3 ○ y = √3x ○ y = -√3x O y = Oy: =

A: Solving the problem

Q: Lines intersect in a point in two-space but do not intersect in three-space. True False

A:

Q: Given the function f and the point Q, find all points P on the graph of f such that the line tangent…

A: Given : f(x)=1x+2 ; Q(2,-2)   To find : All points P such that the line is tangent to f & passes…

Q: - y=t? –t, t = 2x2+1, what's the dy dx for x=1?

A: We know that the derivative of x^n=nx^(n-1)

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

A:

Q: Find the derivative of the function. f(x) = 2e³x-1

A: We have,      f(x)  = 2e8x-1

Q: 5. f(x)=x² + 8x - 64, what's the minimum point of f(x)?

A: We have, f(x) = (x ^ 3)/3 - 9/2 * x ^ 2 + 8x - 64

Q: Consider the following graph of y = f(x): 20+ 0 -20 -404 -60€ I only Il only 6 Which of the…

A:

Q: represents a vector going 5 km/h N20°E. What is a. 5 km/h S20°E b. 1 km/h S20°W A ? 1 km/h W20°S d.…

A: A→ represents a vector going 5km/h N20°E

Q: Consider the surface F(x, y, z) = x6x6 + sin(y8z6) — 10 = 0. Find the following partial derivatives…

A:

Q: -3- -4 1 V 3 4 5 The graph above shows the base of an object. Compute the exact value of the volume…

A:

Q: Bill Casler bought a $6000, 9-month certificate of deposit (CD) that would earn 9.2% annual simple…

A: As per our guidelines we are supposed to answer only one question at a time. Solution of 1st subpart…

Q: When finding the moment produced by a three-dimensional force we commonly use the equation M = r X…

A:

Q: Solve the following differential equation y"+y' = sec(x).

A: We have,     y'' + y'  = sec (x)