"l Use implicit differentiation to find Əz and az ах 2 22 ay 3 x ² 2 - x², ² + 22² = 3 y 2 - 5=0 given that

Q: Write the integral of a function f(x, y) over the following regions. Do not use a substitution;your…

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Q: solve it please

A: Step 1:The given function is:f(x)=x2+2−4​,   f′′(x)=(x2+2)3−24x2+16​ Step 2:The required graph of…

Q: Consider the family of curves x = ky² A. Please draw 3-4 curves that belong to this family of…

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Q: Please help on all asked questions. Please show all work and steps. Please circle the final answer.

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Q: The graph of f is shown for the interval [-2, 6]. 45 40 35 30 25 20 15 10 5 0 54 y x' -3 -2 -1 0 1 2…

A: Step 1: Understanding f′<0 and f′′>0f′<0: This means the function is decreasing over that…

Q: Let y be the solution of the initial value problem - ´y" — 2 y' – 3 y = 0 \y(0) = 1, y'(0) = 1 Then…

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Q: Let S1 be the portion of the unit sphere with z ≥ 0, oriented with normal vector pointing up and out…

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Q: Find a parametric representation for the surface.  The part of the sphere x2 + y2 + z2 = 16 that…

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Q: Answer the given questions with step by step working outs

A: Question 3:Given:AB = 2aAC = -2a + 6bAD = 3bProof:For B, C, and D to be collinear, the vector BC…

Q: Let 1 f(x) = x³√√x + x√√x Using the basic Derivative Rules, f'(x) is found to be: 52 X 2 7 6 X 1 1 6…

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Q: Let y(x) be the solution of the initial value problem y' = 1 + + 60-y/x х , y(1)=0 Then y(4) 4 ln(k)…

A: 1.Step 1:Giveny′=1+xy​+6e−xy​Lety=vxTheny′=v+xv′The differential equation can be written…

Q: 4. Consider the function f(x) = Build the 4th degree Taylor polynomial of f centered at a = 0. b.…

A: a.Givenf(x)=x+31​The fourth degree Taylor polynomial centered at a=0 is given…

Q: We consider a sequence (X)-1 of i.i.d. random variables such that P(X₁ = 1) = P(X₁ = −1) = 1/2.…

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Q: Which of the following statements are true?(i) Every continuous function f : [a, b] → R has a…

A: This statement is true. It is a direct application of the Extreme Value Theorem, which states that…

Q: show step by step answer

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Q: only part e needs an answer.

A: To find where the function f(x)=x4−9x3 is decreasing, we need to determine where its derivative,…

Q: Solve this page

A: According to the second derivative test:Where:f"(x)>0, f(x) is concave upf is increasing at an…

Q: Part D, H, J

A: Step 1:Step 2:Step 3:Step 4:

Q: Pls help ASAP. Pls show all work and steps. Pls circle the final answer.

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Q: 115 Sec 5.1 Part 1 x W115 Sec 5.1 Part 1 - MATH 115 Fal X +…

A: Definition Relative Maximum: This is a point where the function value is higher than at any other…

Q: Give a formula for each of the integrals below. A surface S has a parameterization r(u, v), where…

A: The integral of a scalar function G over a surface S with a parameterization r(u, v), where (u, v)…

Q: Please help me with these questions. I am having trouble understanding what to do. I keep getting…

A: Part (a):

Q: Find the value of the integral: ∬xysin⁡(x)cos⁡(x) dA where the region R lies between the graphs of…

A: Note : • sin(5π)  = sin(2*2π + π) = sin(π)• cos(5π)  = cos(2*2π + π) = cos(π) (Since period of…

Q: Hi i really need help with answering the 4th question in attached image,  thank you so much,

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the general and particular solution. y" + 4y′+ 3y = −e¯*(2+8x), y(0)=1, y'(0) = 2

A: Solution:Step 1:Solve the Homogeneous EquationThe homogeneous equation is:Set up the characteristic…

Q: Gompertz Growth Curve Consider the function. Q(t) = Ce-Ac**t where Q(t) is the size of a quantity at…

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Q: Determine whether the following differential equation is linear. uet = 2t+ √√t. du dt linear not…

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Q: Consider the following heat equation on a rod (which includes heat loss through the lateral side and…

A: If doubt then aks. Please like.

Q: Find the following using the table below. X 12 3 4 f(x) f'(x) g(x) g'(x) 888 4424 3 1 2 4 3 1 2 23 1…

A: To find h′(3) where h(x)=f(g(x)), we'll use the chain rule. According to the chain rule, if…

Q: Please show all steps. Answer is NOT 88.67

A: Given integral: ∬R​7(x+y)dA over the region  R={(x,y)∣4≤x2+y2≤9,x≤0}   Description of the Region R…

Q: Please help on all asked questions. Please show all work and steps. Pls circle the final answer.

A: Interpreting the Graph and IdeasVelocity: The slope of the position vs. time graph represents…

Q: Q2/ verify that grad (hgrad f- f grad h) 1 E = 11 h h₂ where and h are scalar factions.

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Q: can enter this new form of the function and aws of Logarithms to expand the expression. 20. log3(5y)…

A: Using the property of logarithms, log_b(mn) = log_b(m) + log_b(n), we can expand log base 3 of (5y)…

Q: Solve it all please

A: Here's a breakdown of the function's properties and a guide to sketching it:1. Continuity:The…

Q: Consider the line y=9 x -1 and the point P=(2,0). (a) Write the formula for a function d(x) that…

A: If you have any help please let me know in comment box thankyou.

Q: Classify each of the following first order differential equations (x + 1) y' + (x + y)² = x² У xy…

A: Explanation:

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A: In the cylindrical coordinate system, we use three coordinates (r, θ, z) where r is the radial…

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A: The problem is asking us to find out how much Esmeralda needs to invest now to have $5,000 in 4…

Q: Q2 (9 points) Calculate SS such that 0 ≤ x ≤ 2π. 1 8x(y-1) dA where D is the region between y = 1 +…

A: Step 1:

Q: 9. A parallelogram ABCD has vertices A(5,2,-1), B(-4, 0, 6), C(2,-3,7) a) Determine the measure of…

A: Step 1: Step 2: Step 3: Step 4:

Q: Please help on all asked questions, Pls show all work and steps, and circle the final answer.

A: Ans (a):Ans (b) part (1) and part(2):Ans (b) part(c):

Q: Solve this page.

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Q: solve every part of it and i don't need to see the work.

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Q: 6. In this problem you will use the known power series for e* to evaluate an integral. a. Write (or…

A: Step 1: Step 2: Step 3: Step 4:

Q: Calculus Problem: Please help . thank you. Find f'(x)

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Q: 6.2.102. Solve x" — x = (t² − 1)u(t − 1) for initial conditions x(0) = 1, x'(0) = 2 using the…

A: Step 3: Inverse Laplace TransformThe solution involves the inverse Laplace transform of each…

Q: The differential equation bx [a y sin (5x) + 2e'* cos(4y) +mx²] dx + [cos(cx) + 2eb* sin(4y)] dy = 0…

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Q: Consider the initial value problem. ft(t 2) y+4y= sin(t) \y(1) = 4 The largest open interval where…

A: Step 1:We are given the initial value problem: t(t−2)y′+4y=sin(t)with the initial condition y(1) =…

Q: 7) The growth of corn leaves is modeled by the equation: A(t) 105 = 1+32900e-.04t Where A(t) is the…

A: The equation is:where:A(t) is the leaf's area in cm2,t is the number of degree-days (a measure…