he area of the region enclosed by y = 4 – x and y = -x+ 2 , identify the "a" and | "b".

Q: Find the derivative of f with respect to x of f(x)=ln x8.

A:

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A: see below the answer  and calculation

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A:

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx2 + y2 + z² (4,…

A:

Q: Evaluate the integral. |cos *x sin xdx Scos 4 cos "x sin xdx =

A: To find the value of given integral .

Q: Suppose that the graph of a function f is known.  Explain how the graph of of y = f(x) – 2 differs…

A: Let us consider graph of a function y=f(x). Now if we move the graph y=f(x) by c units in downward…

Q: e Th

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Q: Find the area between the following curves: x = y +1 and x = y² – 1

A: topic - area bounded by curves

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A: We have to find dy/dx of given function.

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Q: Find the component form of v given the magnitudes of u and u + v and the angles that u and u + v…

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Q: 5 Show that the function h(r, y) defined by if r +y? < 1 h(x, y) 0; if r +y 2 1 is discontinuous.

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Q: f2ox²-40x+3 x'- 2x Evaluate.

A: Topic:- integration

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Q: oriented

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Q: 4. Given the graph of f(x) below, sketch the graph of f'(x) and explain how you arrived at your…

A: The graph is drawn by free hand.

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Q: for what Vather of the constant (k) that the funstion fayt=x+kxy +y will havei 2. a- Saddle Point…

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Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: Given query is to find the component form of the vector.

Q: ax+b 3. The curve y = y%3D has a local maximum at (2,1). x2+3 Determine the values of a and b.

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Q: 3) Derivative Applications a) A particle moves according to the function f(t) measured in seconds…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: determine the values of p such that the function f(x)= px4+x3+x2 will have: A. 0 possible…

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Q: Evaluate the impropec integral oc sho that it diverges, dx

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

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Q: Find (if possible) the rational zeros of the function. (Enter your answers as a comma-separated…

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Q: Let f(x) = cx -1.24 and suppose that f(5) = 29. Find the value of c. (Round your answer to two…

A: I am attaching image so that you understand each and every step.

Q: 1. Determine if each series converges or diverges, you can use any of the tests discussed in class.…

A: a) ∑n=1∞3nen-1b) ∑n=1∞1+3n2nc) ∑n=3∞3n-14n

Q: Find the equation of the tangent plane at the point x = xo = 4, y = yo = 1 of the surface %3D z =…

A: Option C is true

Q: Exercise 1: Express an inequality statement that relates HI and 1. 19° G I 26°

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Q: Cônsider the following. u = (5, 7), v = (4, 2) (a) Find the projection of u onto v. (b) Find the…

A: a)  projection of u onto v     projvu =  u.vv2.v  since u=&lt;5,7&gt;  , v=&lt;4,2&gt;⇒u.v=(5×4)+7×2…

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A: Let the volume of the cone = V cubic feet Given  dVdt=20 cubic feet per minute. We have to find dhdt…

Q: Compute the exact value of -1)"(n + 2) 2"+1(n+ 1) * n=0

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Q: What is the antiderivative of g(x) = 2 cos(x) that contains the point (7, 0)? 4 O 2 sin(x) –V2 O 2…

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Q: Find the coordinates of a point P on the line and a vector v parallel to the line. x - 2 y + 5 = z +…

A: Given that equation of line x-28=y+57=z+71Solution :x-28=y+57=z+71=tx=8t+2y=7t-5z=t-7point…

Q: (x² – 9) + xy = 0 dx

A: We have to solve the differential equation x2-9 dydx + xy = 0

Q: Suppose that we have a graph with at least two vertices. Show that it is not possible that all…

A:

Q: Compute : csc(e) d Csc evx dx CSC - Csc cot evx А. 2/x B. csc cot(evF).eF . — cSC Cot csc · cot 2 D.…

A:

Q: 1. A biker is 50 meters away from a pole. The biker starts to ride south parallel to the pole at a…

A:

Q: Q+5x)e dx

A: To evaluate the given integral.∫2+5x ex3 dx

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A: The police car and the red car are at the twovertices of a right angle triangle with legs of200 feet…

Q: Use partial fraction to find the integral 3-x 3ペ-ペート

A:

Q: 1. A biker is 50 meters away from a pole. The biker starts to ride south parallel to the pole at a…

A: Solution is given below:

Q: Use linear approximation, i.e. the tangent line, to approximate √81.1 as follows: Let f(x)=√x. Find…

A: Explanation of the answer is as follows

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A:

Q: 2, |-7- 8X-xT

A: Let's find.

Q: The monthly demand function for x units of a product sold by a monopoly is p = 5,800 - dollars, and…

A: The given functions are: C(x)=3020x+2x2R(x)=5800x-1xx3