(3, 4, 3) Let v = Calculate: vxi=( vxj=( v x k = ( A F ->

Q: 1. Find all critical points of this function. f(x, y) = 7x8y+2xy - x² + y ³ Then classify each…

A: Step 1: Step 2: Step 3: Step 4:

Q: two questions from practive exam

A: Question 3:- I am attaching the image of the solution.Question 4:- Q(4) Second part is also…

Q: Determine whether the statement is true or false. If C^x^ diverges when x = 5, then it diverges when…

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Q: Please answer parts a and b

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Q: Evaluate the integral. (Use C for the constant of integration.) - (x² − 7x) dx

A: Remember that integral is just the opposite of derivative. And we follow the power rule formula:We…

Q: Find a plane containing the point (2,2,-5) and the line r(t) =<-6, -3, -7 > + < 6, -6,1…

A: Steps are explained in the image:

Q: 4. Find the moments of inertia for the wire of density p given by the curve +2 C: r(t) = ½-½i + tj +…

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Q: Π . For 0 < x <- , if y = (sin x)*, then find 2 dy dx

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Q: A person's investment is expected to produce a continuous stream of revenue R of R(t) = 3000…

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Q: 8 Explain why the form 1 is indeterminate and cannot be evaluated by substitution. Explain how the…

A: Step 1 Indeterminate Form 1∞: When we have a limit of the form 1∞, it's indeterminate because the…

Q: (5) Use the limit comparison test and Problem 1 to decide for what values of k and m nk converges.…

A: Step 1: Step 2:

Q: Determine whether Rolle's Theorem applies to the given function on the given interval. If so, find…

A: To determine if Rolle's Theorem applies, we need to check two conditions: continuity on the closed…

Q: dy ☐ 3. By hand, sketch the slope field for = xe where x = [-3, 3] and y = [—3, 3]. dx Then sketch a…

A: Step 1: Step 2: Step 3: Step 4:

Q: Let f'(x)=ex+x and let H(X) be the equation of the tangent line to f(x) at x = a. If H(x) is used to…

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Q: ۱۴ 14 g 3 3+1x 1= x² + 1× AND -FIND /dx WHEN X=2 =6.

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Q: 3. Consider the piecewise functions f(x) and g(x) defined below. Suppose that the function f(x) is…

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Q: 2

A: Step 1:Step 2: Step 3: Step 4:  Thanks....

Q: Find the limit of the sequence. Hint: Remember that cos n always satisfies -1 ≤ cos n ≤ 1. an = (cos…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: 12. Find a normal vector n and an equation for the planes in Figures & (A)-(C).

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Q: Thank you!!

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Q: I am needing assitance with the problem in the attached image, 5.7.

A: Step 1: Provide the given function: f(x)=sinx+cosxInterval: (0, 2π) Step 2: Provide its graph for…

Q: Sketch a SINGLE graph that includes all of the conditions below. • f'(x) > 0 when - 4 1 - 5 f(-4)…

A: The objective of the question is to sketch a graph of a function f(x) that satisfies all the given…

Q: Determine whether Rolle's Therorem can be applied and put answers in interval notation.  If Rolle's…

A: Given function is:f(x)=x²/(1-x²)And interval is [-2,2]Now, put denominator…

Q: Answer question number 1 on photo.

A: Question 1: Given function y=(​16−(x−5)2+3)The four trapezoids are…

Q: Homework

A: Approach to solving the question: Detailed explanation: Examples: Key references:

Q: Assume there is a certain population of deer in a forest whose growth is described by the logistic…

A: We can find the population of deer in the forest after one breeding season by using the logistic…

Q: When doing calculus problems, how would I identify that I should do long division of polynomials in…

A: 1. Polynomial division: If you're asked to divide one polynomial by another, long division is…

Q: If y = ex " then find d" y == dx"

A: Note that the derivative of exponential function eu is as follows:dxd​eu=eudxdu​ If y = enx, let us…

Q: 4. x²y² = x² + y² 5. x cos y y sec x = 1

A: 4. The equation x²y² = x² + y² can be rearranged to form a quadratic equation in terms of x or y. We…

Q: 3. Find the length of the axes of the ellipse defined by the equation (x-3)² (y+2)2 25 + 9 1. If…

A: The objective of the question is to find the lengths of the axes of the ellipse defined by the given…

Q: | | | 8. Given f(x) = sin (4x + 7/7), find f' (Z). a) 0 b) 4 9. The derivative of y = √√ex is: a)…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the general solution of y' = 5 (y — 17). y(t) = = Note: Use C for the constant. Find the…

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Q: 40. Find the area enclosed by the ellipse x2 4 y2 + = 9 1.

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Q: Find the derivatives of the following functions (c) f(x) = In[ex sin x + x sin(e)] (d) f(x)=(1+ cos…

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Q: Solutions to question 1 please

A: Step 1: Step 2: Step 3: Step 4:

Q: solve and replace in the equations

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS. this is true/false

A: Here are the answers: 7)True. A piecewise function can have continuous pieces but may have corners…

Q: I am needing assitance with the problem in the attached image, 5.8.

A: Step 1: Step 2: Step 3: Step 4:

Q: I need help with question 4

A: The objective of this problem is to find the equation of the plane that contains the three given…

Q: Please don't provide handwritten solution ....

A: Step 1:The domain of the function is all real numbers that's why we omitted complex rootsPlease do…

Q: 4. Solve the following differential equation by separation of variables. dy dx = yo 8x

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Q: Determine the intersection point of the line​x=7−ty=2+tz=4−3t​ and the plane π:x+2y+3z−15=0

A: Step 1:To find the intersection point of the given line and plane, we'll substitute the parametric…

Q: ← www-awu.aleks.com/alekscgi/x/Isl.exe/10_u-lgNslkr7j8P3jH-IB-d4xj11 PLIKACnhGTWihclRH MCSD…

A: (a.) The given percentage in the sentence is: 7% Recall that a percentage is a number expressed as a…

Q: find the anti derivatives using the u substitution

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Q: ☐ ☐ 3. Approximate the following integrals using the trapezoid rule. (Round answer to four decimal…

A: Question 3.Step 1: Trapezoidal Rule (Approximation)Average of Left and Right Endpoints…

Q: Use the integral test to determine if the series 6x-6 dx 3x²-6x+6 6n - 6 converges or diverges.…

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Q: Determine the open t-intervals on which the curve is concave downward or concave upward. (Enter your…

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Q: e straight line, find the me depends on the 4: [y]=[3,2]+[-2.1] and 3x-7y+4=0 mon2 = [21] 0 [37] 561…

A: Step 1:Approach to Solving the Question:Step 1: Convert Cartesian Equation to Standard…

Q: Define two vector functions (t) 9 sin(t)+7 cos(t)] + (t³ - 15) k = = (t) 7 sin(t)+9 cos(t)] + tk = .…

A: Step 1:Step 2: Step 3: Step 4:  Thanks...

Q: 1. (x + √y² + 1) dx · (y – H.W. solve the following D.E. xy - - √12241) dy = 0

A: Step 1: