Find Duf at P. 2 f(x, y, z) = 6x³y°z°; P(2, – 2, 2); u = ;i + -k

Q: 3. Four inhabitants of a small island return from a vacation infected by a contagious disease. The…

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Q: 4) Find the equation of the plane that passes through the point (6,0, 2) and contains the line x = 4…

A: The plane that passes through the point (6, 0, 2) and contains the line x = 4 − 2t, y = 3 + 5t, z =…

Q: Find the divergence of the vector field F = < ya®, æ2®, zy* div F = Preview

A: Divergence of F→=yx3, xz6, zy4

Q: Derivatives: using (4 step rule). 4. f(x)=sin3xcos3x 5. f(x)= x² cos(x² +1)

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Q: Which of the following is true for the series 3n? Σ 4n3 +9 n =0 Converges to 0 O Divergent O None…

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Q: • The domain of the function is set of all possible input values for which function is defined.…

A: Given the function  y=x2-x

Q: evaluat e the fallowing integrais by interpheting them as areas of geome thic Objects la) So (20-4x)…

A: Given problem:-

Q: Let f(x) = In(x") in the interval [1,9]. Determine the value(s) of 'c' that satisfy the Mean Value…

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Q: Jim is flying two kites. He has 99 feet of string out to one kite and 110 feet out to the other…

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Q: Find all values of x where tangent lines to y = x° and y = x' are parallel. (Give your answer in the…

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Q: state the range of the sine and cosine functions

A: Consider the sine and cosine function

Q: When a drug is intravenously administered to a patient on a continuous basis, the amount A (in…

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Q: 2) Find the parametric and symmetric equations for the line through (1, –1, 1) and parallel to the…

A: Solved below

Q: 5. y" – 3y' +2y=0; y1 =e*, y2 = e2x; y(0) =1, y'(0) =0 %3D -

A: Here is the solution:

Q: Find the indicated derivative for the function.   h′′(x) for h(x)=4x−7−5x−8

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Q: The graph of y = 2x1/3 + x4/3 changes its concavity at: 1) nowhere 2) both (0,0) and (1,3) 3) (0,0)…

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Q: 38. 4y" + 8y' + 3y = 0

A: Question no.38 solved

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: First four terms of the sequence n2+3 n 1+8 n are: 4 10 79 28 9 17 75 33 none 4 10 18 28 9. 17 25 33…

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Q: 7. Point P(-5,k) is on the terminal arm of angle 9 in standard position. If csc9: 13 then: 12 12 a)…

A: This question can be solved using the concept of relation between rectangular and polar coordinates.

Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = - 1. x =…

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Q: 5. Use differentials to find the approximate value of [(5. 99)² + (8. 03)²+ (4. 98)]' decimal…

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Q: The position of a particle moving in a straight line is given by s) = - 8² + 28t, where s(t)…

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Q: A particle is moving along a straight line such that the distance traveled (in feet) afte t seconds…

A: Given: s(t)=8t2+30t Recall: velocity at time tv(t)=ddt(s(t))

Q: Answer All Questions. lcosh" a dx. S. Evaluate dx. +2x-x 6. Find Sun "sde using integration by parts…

A: Given

Q: g is defined by g: [0,1/1] → R

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Q: For the following sequence solve A to C , explain all questions. an= 1/5+3^n A. What’s the limit? B.…

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Q: 2. Evaluate the following definite integrals: S dx -22-x b. S32 sinx dx а. С.

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Q: Using a model of the prototype ball thrower, a ball is fired into the air with an initial upward…

A: Given that height of the ballht=-16t2+48t+41.if balls reaches maximum height then…

Q: ders of integration. Use the more convenient order to evaluate the integral over the plane dA unded…

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Q: evaluate the integrel of (4+r)^3 dr

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Q: Consider a triangle ABC like the one below. Suppose that a=49, c=68, and A=27°. (The figure is not…

A: Solve the following

Q: a. rdt1.0: sending side

A: Note- I am answering the question as per diagram as further details does not mentioned in your…

Q: If we apply Rolle's Theorem to the function f(x) = 2x – 12x – 3 on the interval [1, 5], how many…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Test the series for convergence or divergence. Eh=1 n35n (n+ 2)!

A: To test the series for convergence or divergence. ∑n=1∞ n·35nn+2!

Q: (1–3)* (t³ -8) t + 2 4. 2-t

A: Given problem:- y= (1-3)5(t3-8)/(2-t)  To find:-  find derivative of given function

Q: A particular computing company finds that its weekly profit, in dollars, from the production and…

A: Since multiple subparts are asked, I am answering first 3 subparts. Here we will use first…

Q: Consider a triangle ABC like the one below. Suppose that B=114°, C=40°, and c=47. (The figure is not…

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Q: 1 0.5 -5 -4 -3 -2 1 2 f -0.5 -1 -1.5 -2 Find the following limits, if they exist. 1. lim f(x) 2. lim…

A: Explained below

Q: 5y+10=4y-10

A: 5y+10 = 4y-10 Now add 10 to both sides then we have, 5y+10+10 = 4y-10+10 5y+20 = 4y Now subtract 20…

Q: - Determine the in terval .of convergence of the power Series whichh is the Sum From n= o teesae to…

A: We can solve as follows

Q: Find all points the graph of f(x) = 2 sin x + sin?x where the tangent line is horizontal on

A: Solved below

Q: Jse the graph of the parabola to fill in the table. (a) Does the parabola open upward or downward? O…

A: We have to find the vertex

Q: Let P be a plane in space and let v be a vector. The vector projection of v onto the plane P,…

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Q: iv)Find the acceleration after 1s? After 3s? v) Find the total distance travelled during the first…

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Q: ain:

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Q: Find the if yvx- 8 = xy + 2 Vx - 8 = xy + 2 – 8 dx

A: We can find the derivative as below.

Q: How many boundary conditions are required to obtain a unique solution for an 3rd order linear…

A: To solve a third order differential equation, having order  3 It requires three- point boundary…

Q: 3. Find the equation of the tangent plane and the equations of the normal line to the surface z = In…

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Q: Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the…

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