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Q: Find a parameterization for the curve shown in the figure below. r(t) = where = -1 1,0 -1 <t<

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Q: Given the values for sine and cos0, use the reciprocal and quotient identities to find the values of…

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Q: Given the graph of f(x) = x² as shown, graph the function - 5ƒ(x + 4). 10+ 9+ 8+ 7+ 6+ 5- 4+ 3+ 2+…

A: The function is fx = x2 The graph of the function is To evaluate: The graph of the function -5fx+4

Q: Find the distance of the point (4, 2, -4) from the line r(t) = (1+2t, 1+ 2t, 7 - 3t).

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Q: Write an equation of the plane with normal vector n (7,5, -4) passing through the point (1, −5, 1)…

A: Given; n=&lt;7,-5,4&gt; Point (1,-5,1).

Q: Find P.S. of y (2x²-xy + ²) dx -x ² (2x-1) dy=0 4 = 1/2 when x=/

A: The given Initial value problem is y2x2-xy+y2dx-x22x-1dy=0 when x=1, y=12. Let's check the given…

Q: Find the limit. (If an answer does not exist, enter DNE.) (x + Ax)² – 5(x + Ax) + 3 − (x² − 5x + 3)…

A: Given :lim∆x→0x+∆x2-5x+∆x+3-x2-5x+3∆x

Q: y=de³x + be-3; y"-9y=0 -3.x.

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Q: Assume that u v = 5, ||u|| = 5, and ||v|| = 8. Calculate the value of (4u + v) · (u – 5v). (Give…

A: Given u.v=5, u=5 and v=8

Q: Because of the curvature of the earth, the maximum distance D that you can see from the top of a…

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

Q: E] Find the zeros of the function f(x) = 3x² - 6x + 2 F] Find the points of intersection of y = x² -…

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Q: b) Calculate the following definite integral: [* (√x - 1) dx

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Q: A point is given on the terminal side of an angle drawn in standard position. Find the values of the…

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Q: Find an equation for the tangent line to the graph of the given function at ( – 5,32). - f(x)=x² +7…

A: Given query is to find equation of the tangent line.

Q: 2-x x² if x - 2 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = Let…

A: we will find the limit.

Q: 6.5+ (y)² = [3z³y² + (y")³14/3

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Q: Find the general solution of the given differential equations. A. (xy² − 4x)dx + (2x² + 4)dy = 0

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Q: When a business sells an item, it receives the price paid by the consumer (this is normally greater…

A: We need to answer revenue and cost model.

Q: 5. I Find the area of the region enclosed by the curves y = 3x³ - x²-10x and y=2x-x². (x ≥ 0) (a)…

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Q: a) Find the simplified form of the difference quotient for the function f(x) = 5x² – 3x. b) Complete…

A: We have to compute quotient difference in this question.

Q: Give the slope and y-intercept of the given equation, then graph it. 11. f(x) = 3x − 4 400

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Q: average

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Q: A sphere is tangent to the x-y plane, the x-z plane and the y-z plane and it's center is the first…

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Q: Find the equation of the line tangent to the curve f(x) = 4x² - 6x +39 at x = 1.

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Q: 1. The population of a city is growing by the same percent every year. The population at the 2000…

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Q: 3 4 y=2xt (1, 2) 3 x L is perpendicular to y = 2x

A: Equation of line L ......x+2y-5=0 For detail...go through the solution

Q: Given the equation x2+z2=7, write an equation for the cross section at y = −7 using x and z. Can you…

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Q: Find a vector parametric equation r(t) for the line through the points P = (4, -3, 4) and Q = (3,…

A: Given:- Find a vector parametric equation r⇀t for the line through the points P=4,-3,4 and Q=3,-6,2…

Q: 2. In 2000, Morgantown's population was 26,800. It's population increases by 1.2% each year. a.…

A: Solve

Q: Find the shortest distance between the (entire) line L1 passing through the points A(1, 1, 2) and…

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Q: √t 12. If a factory continuously dumps pollutants into a river at the rate of tons per day, then the…

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Q: Given the function f(x), find f'(x) f(x) = 9x² COS X

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Q: 4. Verify that the solution of the DE d²x dt² + k²x = 0 is x = sin(kt).

A: To verify that the solution of the DE d2xdt2+k2x=0 is x=sinkt.

Q: Find the Solution to the Differential Equation (x+2y) dx - (2x-y) dy=0

A: The given differential equation, x+2ydx-2x-ydy=0 use the integral formulas,…

Q: D] Find composite functionsf(g(x)) and g(f(x)) for given f and g 1) f(x) = 3x + 1, g(x) = 2x² 2)…

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Q: Determine the domain of the relation graphed below. Ⓒ (-4,5) KD 1-4 51 CHAUS SH TEAT 2 0 NE O E 2: m…

A: We can find the correct answer in the following steps.

Q: 3. f(x)=-2[x]

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Q: A positive angle less than 360° that is coterminal to -111° is

A: To find a positive coterminal angle, one should add 360o to the given angle.

Q: CONTINUATION OF QUETION     Find the values of x for which g(x) ≤ 0. -  [−1, 1.8] and 4 -…

A: Let's solve.

Q: What is the general solution to the the differential equation3y"'-y' - 2y=0?

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Q: 3x+5 2x-7 a) Find the Limit of f(x) as x approaches positive infinity. Give the exact answer as a…

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Q: A cylindrical oil tank 8ft deep holds 380 gallons when filled to capacity. How many gallons remain…

A: We have to find the volume of tank.

Q: nd  f(a), f(a + h),  and the difference quotient  f(a + h) − f(a) h,  where  h ≠ 0. f(x) = x2 + 6…

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Q: Show that convolution with a given function f commutes with differentiation; that is, show that…

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

Q: Given f(x) = 19xº sinx+12x−7, find f'(x). f'(x) =

A: Concept: Differentiation: The slope of the tangent to the curvey = f(x) at (x, f(x)) is the…

Q: Find the equation for the tangent to the curve at the given point using the limit definition of…

A: Find the equation for the tangent line to the curve at the given point by using the limit definition…

Q: 5) Prove that : tanz 올n(를) i-z

A: tan-1z=i ln[(i+z)/(i-z)]/2.

Q: First rationalize the numerator, then find the limit. Enter the exact answer. If the limit does not…

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Q: Evaluate the following integral. 40x² x4-52x² +576 dx Find the partial fraction decomposition of the…

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Q: Consider the method of Variation of Parameters for solving the general linear equation of first…

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