se z = x² sin y, x = 1s² + 1t², y = -6st. the chain rule to find oz and as function: as Əz d the numerical values of and when Əz Is Əz

Q: #10 For the surface x³-2xz+y4+1=xy do: (a) Find the tangent plane at point (1,1,1),, Find…

A: (a) Equation of tangent plane at point (1,1,1) is: y=1(b) Equation of normal line at the point…

Q: Give the function f(x)=x State what it means. Evaluate the one-sided limit: lim x₁+f(x).

A:

Q: 11. Use the shift property to find the Laplace transform of eat sin kt. uitobing property to find…

A:

Q: Estimate In 1.08 using the linearization L(x) of f(x) = In(x) at a = 1. (Use decimal notation. Give…

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Answers : A. fx​=6cos(2x+y)+5sin(x−y)B. fy​=3cos(2x+y)−5sin(x−y)C. fxx​=−12sin(2x+y)+5cos(x−y)D.…

Q: Given the differential equation below, find the solution using Laplace transformation. The…

A: The objective of the question is to solve the given differential equation for the current I(t) in an…

Q: The center A and the radius R of the following sphere x² + y² + z² - 2x - 2y2z1 are Ignore "Give…

A: The given sphere is, , we have to find the radius and center of the sphere.Standard form of a sphere…

Q: The equation r(t)=(12 sin t) i+ (4 cos t) j +(8t) k is the position of a particle in space at time…

A: The equation  is the position in space in time . To find the particle's velocity and acceleration…

Q: In this question you will find a general formula for the following: fx" (In(x))² dx where n is an…

A: The given integral is

Q: Find the linear approximation to the equation f(x,y) = 2√ xy at the point (2,8,4), and use it to…

A: Therefore, the linear approximation to f(2.18,8.29)≈4.2525Explanation:Solution:-

Q: 10 9 со 7 6 5 4 3 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 Find the area inside the circle…

A: ​ Area inside the circle x2+y2=10 above the line y=6 is 44.7295​Explanation:Step 1:​Given a region…

Q: 2. Find the volume of the solid whose base is the region bounded by the circle x² + y² = 9 and whose…

A: Volume = 62.35Explanation:Explanation:

Q: Evaluate the following integrals using partial fraction decomposition, when applicable

A: If you've any doubt comment below-Explanation:

Q: 4. Let A, B and C be subsets of the universal set U. Draw the Venn diagram for (CUB)N(Ā-C). U C B

A:

Q: How Hey Find Find the largest product the positive numbers X, Y and Z can have if x+y+z² = 16,…

A: Let  Let

Q: The temperature of a metal plate at the point (x, y) is given as T(x, y), where T(x, y) is measured…

A: To solve for for  T_y(6,4) , we are seeking out the price of trade of temperature with apprehend to…

Q: The differentiable functions f and g are defined for all real numbers x. Values of f, f', g, and g'…

A: Therefore, the required answers are a) dxd​(x​f(x))x=4​=3b) dxd​[f(x)g(x)​]=9112​ Explanation:Step…

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A: Give statement "When the cross product between any two vectors is zero then these vectors are…

Q: 7) Find the derivative of x(x) = (2x+3)³ (2x+3)+2x+4 X + √ 7

A: Given that, we have to find the derivative of y(x).

Q: Verify that the following functions are inverses of each other. Clearly show the proofs! f(x)=2e1x+4…

A: f(x) and g(x) are inverse of each other Explanation:

Q: Find all critical numbers and use the Second Derivative Test to determine all local extrema.…

A:

Q: Use a half-an le formula to find the exact value of tan 105°. tan 105° = 0 G

A: .

Q: کا ✩ ផ Consider the following use of logarithmic differentiation to calculate the derivative. Let y…

A:

Q: Use Lagrange multipliers to find the highest point on the curve of intersection of the surfaces.…

A: Final answer and explanation are clearly mentioned in the next section.Explanation:Please let me…

Q: Plot the points from the table below on the polar grid that follows.

A: Plot the points from the table below on the polar grid that follows.Explanation:To plot a point in…

Q: 5. Find the indicated partial derivative(s). (a) f(x, y) = x4y² - x³y; faxx, fxyx

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the tangent plane to the equation 2 = x²-y² + 3y at the point (-3,0,9)

A: The equation is:  −6x+3y−z=9 Or it can be also written as:  6x−3y+z=−9Explanation:Step 1:Step 2:

Q: - #13 Given z= f(xy) = ex+2y= en (-x-y) +xy² a) Evaluate f(-2, 1), (b) Estimate the "error" in the…

A: a) -1b) (-1.15,-0.85)Explanation:a)  b)

Q: Find the exact value step by step of each expression.

A: The final answer is given by:(i) csc−12​=4π​ (ii)tanθ=5​2​=525​​ (iii)cos(2sin−1135​)=169119​…

Q: Chow is it called, #8 Given the surface x²+ y² = Z² Sketch in 2D the level curve 4 corresponding to…

A: The surface x² + (y²/4)= (z²/9) is an elliptic paraboloid.The level curve for z=12 is an ellipse…

Q: 9) A winch at the top of a 12-meter building pulls a pipe of the same length to a vertical position.…

A: The objective of this problem is to find the rate of change in the vertical and horizontal positions…

Q: Let f(x, y, z) = x4y²+ z² and x = = st³, y = s²t³, and z = st. (a) Calculate the primary derivatives…

A:

Q: Consider the logarithmic function: g(x) = 3 log2 (1-x) - 6 d) Sketch the function using the method…

A: Check explanation Explanation:Problem:Consider the logarithmic function:g(x) = 3log₂(1 - x) - 6d)…

Q: Find the (linear) equation of the tangent plane to the surface z = 4y² - 5x² + x at the point…

A:

Q: Find the directional derivative, Dчf, of the function at the given point in the direction of vector…

A: Therefore, the required answer is Du​f(2,3)=0Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Use Lagrange multipliers to find the minimum value of the function f(x, y) = x² + y² subject to the…

A: We know, that

Q: x = −1 + cos(t), y = −2+ sin(t), 0 ≤t<2π . Sketch a graph of 5 4 3 -5-4-3-2-1 2 1 -1 -2 -3 -4 -5+ 55…

A: Orientation of the graph is Counterclockwise.Explanation:

Q: Assuming that the domain of the function is the largest possible subset of R (the set of real…

A:

Q: Σ N 3 | n² 3 2 (n + 1)²

A:

Q: Simplify. CSCX CSCX CO Use algebra and the fun mental trigonometric identities. Your answer should…

A:

Q: Let a <b. Let f be a continuous function on [a, ∞o). Prove that the following two statements are…

A: The document proves that the following statements are equivalent:The improper integral ∫ from a to…

Q: Find the volume of the following solids.   The base of a solid is the region between the curve y…

A: The objective of this question is to find the volume of the given solids. The base of the solid is…

Q: Use Linear Approximation to estimate Af = f (9.02) - f(9) for f(x) = x4. (Use decimal notation. Give…

A:

Q: 100 n=1 2

A:

Q: Find the angle of intersection, in radians on the domain 0 <t≤, to two decimal places.

A:

Q: 3 In Exercises 5 and 6, let f(x) = x³ + 2x + 1, and assume that f-1 exists and has domain (-∞, ∞0).…

A: Please refer below page.If you have any doubts please feel free to ask.Explanation:Step 1: Step 2:…

Q: The diagram below gives part of the graph of function f.. For a0 and |x|<12 Find a and b. Write…

A:

Q: please solve  3[ln x - ln (x+9) - ln (x-9)]

A: The expression simplifies to:3ln(x2−81x​)Explanation:

Q: ||| = 19:25 0% * · Natifa Hinds Today, 18:08 3. Tesla estimates that its profit expressed in…

A: Tesla's variable cost per car is $3210. Explanation:a. Tesla's Variable Cost per Car:Given that…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The resultant speed of the airplane is 801.783 km/h along the 85.02o from the x-axis.…