show that ī =3i+ 6j. %3D have Re sa we divein?

Q: Let f(x) =- a) Use the concept of limits to determine the equation of the horizontal asymptote of…

A: Consider the function  f(x)=xx-1

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A: Here, the given function is: log R(w)=1.85-0.48log (w)...(1)

Q: Given ∫(x5−3x4+6x3+3)dx, evaluate the indefinite integral. Do not include +C in your answer.

A:

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A: Given query is to find the number of units in indicated years.

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(3,…

A: First we find unit vector of v.

Q: Consider the angle shown below that has a radian measure of 0. A circle with a radius of 3 cm is…

A:

Q: in a river and wants to know how long it will take him to get 10km up ing location. The speed of the…

A: We will find the time taken to go 10 km Upstream.

Q: The graph of the derivative f' of a function f is shown. y = f'(x) 2 4 6 (a) On what intervals is f…

A: Let's find.

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your…

A:

Q: f(x)

A: We will find the equation of tangent.

Q: Exercise 2: Determine the measures of the numbered angles in the following figure 6 5 92° 1 b.

A:

Q: . What is the largest area of a rectangle that could be inscribed in a semi circle having a radius…

A: We have to find largest area of rectangle that can be inscribed in a semicircle having a radius of…

Q: Here is a graph of the function f. 4- 3+ 2- -3+ -4+ Use the graph to find the following. If there is…

A:

Q: f) 3rd derivative of y : sin 3x g) Find if yVx – 8 = xy +2. if yvx – 8 = xy + 2. dx

A: Note: As in questions d and e no instruction is given solved f and g for you.

Q: What is the minimum point of the curve y = x2 – 6x + 4? Solution must be in detail

A:

Q: (3 Find the determinant of the matrix 1 -4 D -2 ) 10 ) -10 2.

A: Given problem:-

Q: Evdluate the following integral, S Sin3xcosxdx

A: Use the method of substitution and solve the integration.

Q: 2 3x-x² lim х>-2 \x-х-6. х2 —х-6

A: A detailed solution is given below

Q: Use implicit differentiation to find y′ and then evaluate y′ at ​(−3​,3​).   4xy+y+33=0       Part 1…

A:

Q: Using the graph answer: f(2) g(2)

A: We now that ,in  y=f(x) , x is values in domain and f(x) is the values in co-domain, Therefore here…

Q: given the function f (x) = px + 1, g (x) = 3x - 5 and fg (x) = 3px + q, express p in terms of q

A: Given, f (x) = px + 1, g (x) = 3x - 5 and f (g(x)) = 3px + q

Q: f(r) = 5 sin(sin(x)) %3D

A: answer is in next step

Q: Use the graph of f(x) to determine whether the function is one-to-one. If it is, find a formula for…

A: Here we have to find the inverse of the given function.

Q: 2) Evaluate the following line integral: . 0+z)dx + (x + z)dy + (x + y)dz where C consists of the…

A: C1: (0,0,0) to (1, 0, 1)x-01-0=y-00-0=z-01-0=tx=t, y=0, z=tdx=dt, dy=0, dz=dtI1=∫01[(0+t)+(t+0)]…

Q: Find the equation of the tangent line at the given value of x on the curve. 2y (x-4) +x/y = 8; x=4 y…

A:

Q: 1) Find the derivatives of the following. Simplify your final answers. (1–3t)5(t³-8) b) g(t) = t + 2…

A:

Q: Find all vertical and horizontal asymptotes of the graph of the function. (Enter your answers as a…

A:

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your…

A: we know two vectors <a, b, c> and <x, y, z> are parallel if (a/x) =(b/y) =(c/z) .

Q: Evaluate the integral. 5, sec 3x tan 3x dx sec $3x tan 3x dx =D

A: To evaluate: I=∫sec53x tan 3x dx=∫sec43x sec 3x tan 3x dx

Q: The short-term demand for crude oil in Country A in 2008 can be approximated by -0.03 q= f(p) =…

A: We need to find elasticity.

Q: fine Use FTC-1 to find the derivative of the function g(y) dz 1+ %3D

A:

Q: 1. Differentiate each function. Simplify as much as possible and express all answers using positive…

A: a) h(x)=x37xDifferentiateh'(x)=3x27x+x37xln(7)

Q: Which of the following are equivalent to 5 · log (u-1/6)? Assume u > 0. 1 O log log (u/") 1 log (u")…

A:

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: dy Differentiate implicitly to find dx 2x+7xy + 9y + 19y- 8 = 0 + dy %3D dx

A:

Q: If Rita receives $39.24 interest for a deposit earning 6% simple interest for 110 days, what is the…

A: This is a problem related to simple interest. Based on the general formula of simple interest we…

Q: 1. f(x) = tan(2x) - 5

A:

Q: c) f (x) = cos²(10x)

A:

Q: Evaluate the integral using integration by parts. cos

A: We can solve as follows

Q: Calculate the Taylor polynomials T2 and T3 centered at x = a for the function f(x) = 7 ln (x + 1), a…

A: f(x)=7ln(x+1)For x=0f(0)=7ln(0+1)f(0)=0Differentiate f(x)f'(x)=7x+1For…

Q: Given the function f(x)%3D 2x2 f(x + h) - f(x) Find the difference quotient h f(r + h) – f(x) Find…

A:

Q: Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile…

A:

Q: u さx Jx (x+6) 18Evaluate: fo

A: We need to evaluate : ∫0∞4xx+6dx

Q: a b b -b ) Give the determinant of the matrix A = d e -e Lg h -h]

A: Given query is to find the determinant of the matrix.

Q: Find the derivative of the function Y = r5z

A: Given query is to find the derivative of the function.

Q: 3x'e* (x* +1)* 3e a) -+C 2(x² +1) 3e* b) 2(x² +1) +C x? +3 x +1 3 c) +C .2

A:

Q: 2. Find the directional derivative of o = yx2 +x²z + 3xyz in the direction of vector n = î + 2 ŷ -2·

A:

Q: Evaluate the following integeali S6sinxcosxdx

A:

Q: 3 5 dx

A: To calculate the value of the given integral.

Q: Find the derivatives of the following. Simplify your final answers. c) h(t) = sin² (esin )+ cos"…

A: