Evaluate: 19 (20) 3i+1 i=0 2

Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = = arctan 2, (9,…

A: Follow the procedure given below.

Q: 8. - Evaluate | 1 dx 1+x а. d. none of the choices b. 1/ 2 е. -co с. f.

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Q: S dy V1+9y2 3.

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y1…

A: Here, from the graph, the curve y2=0 is above the y1=x2-6x

Q: PART C dy 12. Show that dx 2 for the relation %3D V%3D10, x, y X. # 0. y

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Q: ||r'(t) × r"(t)|| Use the formula k(t) = to find k(t). 13 r(t) = el2"i +e-j 12ts K(t)

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Q: A tin can has a base diameter of 10 cm and a height of 10 cm. The can is initially full, but a hole…

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Q: Set-up the integral for the area A(R) of the region R bounded by the circles y2 + x² = 4, and y2 +…

A: Region bounded by two circle in fourth quadrant

Q: 1. In the differential equation (x+2y-1)dx+(2x+4y-3\dy=0, we let the substitution %3= 2. In the…

A: 1) Here, the differential equation is: (x+2y-1)dx+(2x+4y-3)dy=0⇒dydx=-x+2y-12(x+2y)-3

Q: 4y" – 0 +12y' + 9y - 0 e. f. y" – 6y' + 9y – 0

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Q: Consider the following. u = 8i + 7j v = -7i +j+ 2k Find u x v. Determine if u x v is orthogonal to…

A: Here, the given vectors are: u=8i+7jv=-7i+j+2k

Q: Find the limit algebraically by factoring the expression first. lim X-6 -8x2-56x-48 x + 6

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Q: Find the volume of the solid that results when the region enclosed by 2 x² and x 4 2y? is revolved…

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Q: 10 A particle is moved along the x-axis by a force that measures pounds at a point x feet from the…

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Q: Find the value for k so that the function will be continuous at x = 3. - 10x? – 10x + 120 - 1 if x <…

A: The given function,  f(x)=-10x2-10x+120x-3-1if x&lt;3-7x2-70x-175+kif x≥3

Q: Given that f(x, y) = 8x-2x² - y² +8y with the constraint g(x,y): 2x+y=5. Determine the optimum value…

A: Solution is given below:

Q: Find the volume of the solid generated when the area bounded by the given curves and lines is…

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Q: Solve the differential equation dy ; y(0) = –1. %3D da Vx³ +1 There is no need to isolate y.

A: We know, ∫xndx=xn+1n+1+C , C is a constant and n is any real number.

Q: Write each sentence in symbolic form. Use p, q. r, and s as defined below: p: Stephen Curry is a…

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Q: Find the curvature K of the plane curve at the given value of the parameter. r(t) = 6ti – 8tj, t = 1…

A: The formula for the curvature is κ(t) = r't×r''tr't3

Q: A 20-foot cable weighs 80 lb and hangs from the ceiling of a building without touching the floor.…

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Q: Consider the following optimization problem. Maximize P = xyz with x + y = 36 and y + z = 36, and x,…

A: We have to find P(y), P'(y) and maximize P.

Q: 2y" – 3y +y –0 4y" – 9y – 0

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Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

A: Here ,              We have given a vector valued function now we have to determine the intervals on…

Q: 2. Using Lagrange multipliers, find three positive numbers whose sum is 18 and such that the sum of…

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Q: The series E, an is convergente then the series E(an) is also convergente Select one: True O False…

A: 1.The series ∑k=1∞an is convergent then the series ∑k=1∞an2 is also convergent.2.If ∑n=0∞an is…

Q: x^n dx=x^(n+1)/(n+1)+C is not possible when    a. n=0   b. n=1   c. n=-1   d. n=2

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: Solve the following dy 1. xy = 2y2 - x2

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Q: _6. Which of the following is a particular solution to the differential equation when x= e5 and y =…

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Q: Consider the transformation of two variables given by u = x + y and v = 2x - y. If J denote Jacobian…

A: Fill in the blanks.

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y,…

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Q: Find the area of the region that is enclosed by the cardiod r = 16 + 16 sin 0. %3D

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the ezact answers using the…

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Q: Use the formula £{t" f(t)} (s) = ( – 1)" – (L{f}(s)) to help determine the following the…

A: We will use formula for derivative of u/v and given formula to solve as follows

Q: What is the volume of the solid generated by revolving the region bounded by y = x², y = 0 and x = 2…

A: Please see the answer below.

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

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Q: Find the solutions of the system of inequalities by graphing: ¤ + y 2

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Q: Which of the following p-series is convergent: Σ n=1 3. 2. 2. n=1 n=1 Σ n=1 9.

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Q: Let f be a continuous function. Show that 2022 f(VE) de f(z) dz. /2022

A: Here, to rewrite the given integral: I=∫12022-f(x)2xdx...(1)

Q: If f (x) = Vx + 7 and g(x) find f(x) g(x). %3D Keypa Answer Keyboard Shorte f(x) · g(x) =

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Q: 6. DETAILS LARCALC11 12.R.020. 0/1 Submissions Used Find r'(t), r"(t), and r'(t) · r"(t). r(t) = 8…

A: A detailed solution is given below

Q: Find u · v, u· u, ||v||2, (u · v)v, and u · (3v). u = (3, 11), v = (-4, 3) (a) u: V (b) u. u (c)…

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Q: 3+5n 1. an n+n

A: the given sequence,an=3+5n2n+n2

Q: 4. An object is moving along a horizontal line according to the position function s(t) = 2t - 21t? +…

A: Let's find.

Q: The series 2 1 is convergent. n =1 n(2) Select one: O True O False

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Q: 6. Find the critical point(s) of f(x) = -9+ x². Use the Second Derivative Test to determine if the…

A: 6)f(x)=-9+x2Diifferentiatef'(x)=2xFor critical points f'(x)=02x=0x=0Substitute x=0 in…

Q: Find the directional derivative of the function at P in the direction of f(x, y, z) = xy + yz + xz,…

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Q: Express the given equation in polar coordinates. 144xy = 121 121 p² sin? 0 = 144 121 ? cos 0 sin 0 =…

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Q: x³(1 – x²)² 2 4y = in (1+x²)²

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