Find all values of x where tangent lines to y = x° and y = x' are parallel. (Give your answer in the form of a comma separated list. Use symbolic notation and fractions where needed.) x =

Q: Find the Taylor series centered at r 3 for the given function. f(r) = In(x + 2) a) Find the…

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Q: Find a polynomial f (x) of degree 3 that has the following zeros. 4 (multiplicity 2), -8 Leave your…

A: A polynomial f(x) has zeros,    4multiplicity 2, -8

Q: Determine whether (6x+y^2)dx + y(2xy-3y^2)dy = 0 is exact or not.

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Q: Find the derivative of the function described. (Rx5) 1. y = (2x + 3) (5x – 4)

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Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y y = fx) 8.…

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Q: 1) Find the area of the region that lies inside the curve r =1-sin 0 and outside the curve r = 1.…

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Q: S) Vx + 7 dx

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Q: dx x2 + 6x + 25

A: This question is based on definite integral.

Q: A light shines from the top of a pole 20 m high. A ball is falling 10 meters from the pole, casting…

A: We sketch lines on the given image as below: Let us assume x = The height of the ball = BG.  y =…

Q: if f(x) dx=18 and F(X)dx=3.8 find 5 S F(x) dx

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Q: y= V x

A: Here is the solution

Q: ||r'(t) × r"(t)|| ||r(t)| Use the formula k(t) = to find k(t). r(t) = 11 cos(t)i+ 11 sin(t)j + 6tk…

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Q: B. NONHOMOGENEOUS EQUATIONS: UNDETERMINED COEFFICIENTS 2. (D2 + D – 2)y = 2x – 40cos2x 3. (D² + 1)y…

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Q: 5x(V1 + x-) dx

A: This question can be solved using the concept of integration by substitution.

Q: List the first 5 terms of the sequence. 1 22 3n 3n3 32 3n n2 3n (b) -2)n+1 + 3" (a) an =

A: For (a), Given: Now, an=13n3+223n3+323n3+...+n63n3   =13n31+22+32+...+n2   =n+1n+22n+363n3…

Q: how did you arrive at x=34

A: Apologies for the inconvenience. Here is the correct solution:   The given profit function is:…

Q: Let f: R →R be defined as Sr + 2, if a < 1, 1-2a, if a 21. S(1) Plot f(r) of f of all r) Based on…

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Q: 5x? V1 – x³ dx 3. ith the use of the substitution, u = 1 – r³.

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

Q: The value of the integral I= 3 dx is required in the development of the normal probability density…

A: I=∫-∞∞e-x23dxI2=∫-∞∞e-x23dx∫-∞∞e-y23dyI2=∫-∞∞∫-∞∞e-x23e-y23dAI2=∫-∞∞∫-∞∞e-x2+y23dA

Q: Fill in the missing values to make the equations true. (a) log, 4 - log, 5 = log, %3D (b) log,+…

A: logarithm expressions are given,. we have to find the missing values

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

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Q: Find f such that f'(x)= 6x-5, f(2) = 0. f(x) =|

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Q: 1. For each of the following, state whether the equation is ordinary or partial, linear or…

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Q: Determine the value(s) of x where the slope of the tangent to g(x) = (x+ 5)(x² – 1) is -7. %3D

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Q: cos(6x2) 22.What should be the value of A so that f A · sin(6x?)dx = + C? %3D 4 A. 3x 4x В. C. 2x D.…

A: ∫A.sin(6x2)dx=-cos(6x2)4+CDifferentiate on both…

Q: Let a > 0 and let R be the region under the graph of f(x) =  √(9 - ax) and in the first quadrant.…

A: Points of intersection:y=x =9-axx=9-axx+ax =9x=91+aPoint (91+a, 31+a)

Q: state the range of the sine and cosine functions

A: Consider the sine and cosine function

Q: 1 у 3 2 y (х + 2)

A: y = (x+2)-1/2 dy/dx = (-1/2)(x+2)(-1/2 - 1) dy/dx = (-1/2)(x+2)(-3/2) dy/dx = -1/2(x+2)3/2

Q: Consider the following. u=i+j+k v = 2i +ì-k Find u x v. Determine if uxv is orthogonal to both u and…

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Q: Tor each of the following series determine if the series conv or series convergence or divergence.…

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Q: Evaluate the definite integral. e4t i+ e-j+t k)dt O et – 1 – (e-1 – 1). 4 2 O e4 i – 1 j + k 4 (e* –…

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Q: evaruate 6 (i-1) 13. +=3

A: Open the summation for the given value  of i

Q: Rewrite the Cartesian equation x = 7y as a polar equation. r(0) = Use the math palette or type theta…

A: Solve the following

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: Express cylindrical coordinates in terms of spherical coordinates

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Q: d Calculate ri(t) r2(t)] and ri(t) x r2(t)] first by differentiating dt dt the product directly and…

A: The given problem is solved below in detail.

Q: Determine whether the following series converges or diverges. 5 Σ 5n2+5 n =1

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Q: Convert the point (r, 0) from Polar to Rectangular Coordinates (x, y). 1. (3, 7/6)

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Q: flt) z (34 -1)° (t²+ 2+ + 4 )

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Q: 3. Jo F(x)dx=-7, S9(xdx= -12, S 9cx) dx - -15 9(X) dx = -15 Find the value a Such that (af(x)…

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Q: 1. Let f be a function satisfying the following properties: lim [f(r) – (x + 2)] = 0 continuous on…

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Q: 3- x 3) dx → S2xe* dx

A: To evaluate the given integrals.

Q: (i) g(x, y, z) = In(3.x²yz); . %3D

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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: Find the derivative of the function described. (Rx5) 4х-2 5. у 3 3x+4

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Q: Determine if (6x + y^2) dx + y(2x - 3) dy = 0 is exact or not

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Q: From Rogawski ET 2e section 10.2, exercise 11. Calculate S3, S4, and S5 and then find the sum for…

A: Sum of First n terms: = (1/10 - 1/11) + (1/11 - 1/12) + (1/12 - 1/13) + (1/13 - 1/14) + (1/14 -…

Q: Bones from the skeleton of a fish have lost 30 percent of their carbon-14. Note that for carbon-14,…

A: Formula  Given  k = 0.000124 It lost 30 percent of carbon  The left is 70 percent

Q: What is the area of the region bounded above by y = 2x and below by y = X on the interval [0, 3]? 8…

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Q: Find the area of one petal of the rose curve r = 3 cos 30.

A: Let's find.