Calculate the first derivative of the function. Use the correct notation to label your answer. S(2) = V/a + Vz + V=

Q: Find an equation of the ellipse having a major axis of length 6 and foci at (-5, 3) and (-5, -1).…

A: Given problem:- Find an equation of the ellipse having a major axis of length 6 and foci at (-5, 3)…

Q: Determine the area of the region bounded. Show complete solutions. 1. y = 2x (1 – x), 0<x < 1

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Q: The volume of the solid under the plane 3 x+ 3 y -z=0 and above the region enclosed 23 by y=2 x and…

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Q: The grocery store has bulk pecans on sale, which is great since you’re planning on making 10 pecan…

A: We have to find how many pounds of pecans we should buy.

Q: 9:21 p.m.

A: The restaurant at the top of the space Needle in Seattle, Washington is circular and has a radius of…

Q: INTEGRATE BY PARTS /4 2. Sa* x sin 2x dx

A: The given integral,       ∫0π4x sin2x dx

Q: Consider the function f(T,y)= kr - 2xy + y?. %3D 1. Show that (0, 0) is a critical point of f(T, y).…

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Q: All the real zeros of the given polynomial are integers. Find the zeros. (Enter your answers as a…

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Q: By about how much will f(x.y.z) = In /x +y +z change if the point P(x.y.z) moves from Po(6,1,3) a…

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Q: T rsinx S"Stnx y dy dx 2 dx dy

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Q: Find the exact values of the six trigonometric functions of each angle e. (a) (-V3, 1) sin(e) -…

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Q: The function T(t) = 43.6 + 5t - 0.3t2, 0 sts 6, gives the temperature T as a function of time t.…

A: Given query is to find the average temperature for the 6 hour period.

Q: (a) Find the derivative of the function y = cos(cos(e*)) (b) Let h(x) = g(x)/f(x). Use the following…

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Q: 20-21) What is the equation of the tangent line to y = x3 at x=2? A) y = x - 12 B) y = 12x C) y = x-…

A: Use derivative for finding the  equation of tangent line .

Q: 9. Evaluate the integral by using partial fractions decomposition. 7 dx x3 – 8x² + 23x

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Q: 1 a) r(t) = ( In(7t), Vi + 4, V17 - t b) r(t) = ( Vi – 3, sin(81), ² ) t 3t 1/3 c) r(t) = /2 – 64 -

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Q: 4x² + 21x + 54 dx x² + 6x + 13

A: The given integral is  (4x2+21x+54)/(x2+6x+13).

Q: 6. Evaluate the integral e* dx ex + e-x

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Q: Which of the following is continuous at all points? x²-4x-5 x2+2x-35 A) f(x) = B) f(x) = x-5 x-5…

A: Note : “Since you have posted multiple questions with multiple sub-parts, we will solve first…

Q: Differentiate. Use correct notation to label your answer. HA 10 end f (x) = 4c0s TX COS

A: Explanation of the answer is as follows

Q: Consider the function f(T,y)= kr - 2xy + y?. %3D 1. Show that (0, 0) is a critical point of f(T, y).…

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Q: the correct graph below. OB. OC. OD.

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Q: Sketch the region whose area is represented by the definite integral. dx 2 4 Use a geometric formula…

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Q: 78 |x cos(nx)dx

A: As per guidelines we will solve one question

Q: 7 For the function f(x) = x – , find all values of c in the interval [4,6] that satisfy the %3D -…

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Q: A model for the height h (in feet) of a Ferris wheel car is  h = 70 + 70 sin(4?t),  where t is the…

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Q: and write your answer in summation (sigma) notation. Then write down the first three non-zero terms…

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Q: The graph of a function f is given. 10 Estimate f(x) dx using five subintervals with the following.…

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Q: The region D = {(x, y) : 0 < x < 1, 1 < y < x + 1} represents in R?: Select one: O None of them O A…

A: The given region is a

Q: A manufacturer can produce at most 100 units of a certain product each year The demand equation for…

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Q: 2x²+5x 3<0 1 Add file 16) Use the position function below to solve the following problem. A…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 00 e ms lledioland 5: A party planner is trying to hang a sign between a house and a palm tree for…

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Q: Find the critical points of f(x) and use the Second Derivative Test (if possible) to determine…

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Q: The volume of the solid under the plane 3 x+ 3 y -z=0 and above the region enclosed 23 by y=2 x and…

A: y=2x and y=2x22x=2x2x2-x=0x(x-1)=0x=0, y=0x=1, y=2

Q: 3. As the biologist for a certain crocodile farm, you know that its carrying capacity is 20,000…

A: Let's find.

Q: (2) find integrals S tanX dx

A: ∫tanxdx here is the direct formula of tanx = ln(cosx) +c

Q: A B C D E F 1. x2 + 4y? + 9z? = 1 2. 9x? + 4y + z? 1 3. x? – y? + z? = 1 4. –x? + y – z? = 1

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Q: y" + 3y' + 2y = 12x* %3D y" + 4y' + 4y = e¬* cos x

A: As per the guidelines I am supposed to do the first problem in case of multiple problems. So here I…

Q: Find the critical numbers of the function. x – 1 | f(x) : x² + 4

A: find the critical points of the function f(x)=x-1x2+4

Q: If 0 = then %3D sin(e) = cos(0) = CO: !3! Give exact values. No decimals allowed! V2 With functions…

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Q: sin lim-0 h z cos () a. ㅠ COS b. 플Cos() c. T sin ) d. e. 1 f. None

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Q: Find a function of the form f(x) = a sin(bx + c) such that the graph of y 6f 5 4 BR E 37 2 2 -2 3 -4…

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Q: Find the radius of convergence, R, of the series. R = Find the interval, I, of convergence of the…

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Q: if x1 -1 For what value(s) of x is the function f(x) = x+1 (x² +x+1 NOT continuous? A. x 1 Select…

A: We have to choose correct option

Q: a) lim f(x) b) lim f(x) c) lim f(x) d) f(0)

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Q: Find an equation of the circle whose diameter has endpoints (-1, 3) and (1, - 5).

A: The circle whose diameter has endpoints -1,3 and 1,-5

Q: finite difference du n. = 0 en 0 0; dx² - u(0, t) = u(2, t) = 0, 0 < t; %3D u(r, 0) = sin x, 0<x <…

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Q: Find the area of the region enclosed by the inner loop of the limaçon r = 11+ 22 cos 0. [Hint: r < 0…

A: To find the area of the region enclosed by the inner loop limacon. Given r=11+22cos (theta)

Q: Find the amount of an annuity with income function c(t), interest rate r, and term T. (Round your…

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Q: 1. Use the definitions of the hyperbolic function to find each of the following limits. sinh(x) lim…

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