Determine the value of the expression √√x² + y² when x = 7 and y = 4. 2 Oa. 56 O b. O C. O d. √26 √113 √11

Q: Find the curvature K(t) for r(t)=i+2tj +37²k at t = 0.

A: To find the cutvature kt for rt=i+2tj+3t2k at t=0.

Q: Find the direction cosines and angles of u and show that cos² a + cos² ß + cos² y = 1. (Round your…

A: To find the direction cosines and angles.

Q: 11. A curve is implicitly defined by the equation 2y = 1 + xy³. a. Check that (1, 1) is a point on…

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Q: lim x-2 2 +12-4 x-2

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Q: dy a) -2y=e³x, y(0) = 4 dx b) xy' +y = 3x², y(1) = 4

A: (a) given  differenial equation is dydx-2y=e3x      and   y(0)= 4 since it is linear differential…

Q: (2) 1 2 √1-4x² -dx

A: Given integral:- ∫dx1-4x2

Q: Find the antiderivative F(x) that satisfies the given condition. F′(x) = −5ex+5x; F(0) = −6 F′(x)…

A: The given function is F'(x)=-5ex+5x,     F(0)=-6

Q: Consider the function in the graph to the right. The function has a relative maximum of at x = The…

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Q: 2. Write the series 2 + 4 + 6 + 8 + ... + 100 using sigma notation

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Q: Зл The current i in a certain electric circuit is i = 4 sin it. Write the first three terms of the…

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Q: 4)- S da 1+2

A: We need to solve integral. As per Bartleby guidelines we can solve one question. Please upload other…

Q: 1. The graph of a differentiable function f on the closed interval [-3,15] is shown in the figure…

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Q: 8 n=1 ne η?

A: The series is given by ∑n=1∞ne-n2 To determine: the convergence of the series using integral test.

Q: Which set of tables represents inverses? Set A f (x) g(x) f (x) Set C h (x) j(x) j(x) h (x) 0 4 0 0…

A: The correct option is option (D).

Q: 4- [ ² ] - [ A= 2 5- 7 B = 3 5 لام 3 2 -2 Find A.B= ?

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Q: solve y" - ay't ay when t=0. 11 = cost; y(t) = 1, y '(t) = 0

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Q: 1 lim x−0 | sin x -:-) x

A: To evaluate the given limit of the function

Q: Find the differential equation such that y(x) = (x − 1) [c_sin (ln(x+1)) +c₂cos(ln(x+1))] d²y dy dx2…

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Q: 2. Suppose $2000 is invested at 3% compounded annually. a. Find the value of the investment after 5…

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Q: B D 37 C 58 E The table above gives the distances (t), in miles, that a car has traveled at various…

A: Find velocity

Q: Q1) Solve the system of linear equation using Gauss-Seidel method -B-C + 4D = 1.8 4A - B - C = 0.5…

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Q: Q12: If |x| <2, the infinite series 3-32+32-3 ...+ (A) Z 2+x (C) 2+x 3(-1)*x* +... (D) 2-x converges…

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Q: Find the derivative of the following function using the Fundamental Theorem of Calculus. F'(x) = 9-1…

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Q: 8. Give the equation of the tangent line to the graph of the function f(x)=x√√/25 - x² in the point…

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Q: A certain population increases by 13.5% every year. What is the growth factor per decade? Round your…

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Q: C. Find the solution of the following differential equations using Separation of Variables. dy 1.…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 3 + 5 + 7+...+ (2n + 1) = n(n + 2)

A: Let the sum on the left hand side be Sn

Q: Determine whether the equation is linear in the variables x and y. 4 3 + y X 5=0 O The equation is…

A: Determine

Q: 5. Let f(x)= 12-x for x ≥ 0 and f(x) ≥ 0. (a) The line tangent to the graph off at the point(k,…

A: Note: Since, the student has mentioned to solve only part (b), so we are solving according to part…

Q: Find the solution of the differential equation d²4 + 5 y(t) = 0 satisfying the initial वहर + 2 dy dt…

A: Given differential equation:- d2ydt2+2dydt+5yt=0 , y0=2,y'0=-4

Q: Givin f(x, y) = ez¹+8zy" then the partial derivatives Ⓒ (3x²)ez³+8zy² Ⓒ (3x² +8y7)ez¹+8zy² □ (3x³ +…

A: ∂ ∂ xex3+8xy7Treat y as a constant=ex3+8xy7∂ ∂ xx3+8xy7=ex3+8xy73x2+8y7

Q: dz Find given: dt 1= te xe, x =t*, y = -1+5t t³, 3t²e5t−5+25t³e5t – 5 dz dt = 11 X

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Q: 9. The country Busistan has two competing newspapers: the Busistan Times and the Busistan Mail. At…

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Q: calculus Find derivatives y'= f'(x) of the following functions y = f(x) y = f(x) is determined by…

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Q: It costs $0.52 to produce a serving of Raspberry Lemonade. If you set your beverage cost percent at…

A: It costs $0.52 to produce a serving of Raspberry Lemonade. If you set your beverage cost percent at…

Q: Point A is defined by A = (3, −2, –3). The component of the vector OA resolved in the direction of…

A: Point A is defined by A=3, -2, -3. To determine the component of the vector OA→ resolved  in the…

Q: Choose the correct answer Let c be a number in the domain D of a function f. then f(c) is the…

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Q: Find the distance from the point (-7, 6, 8) to the x axis.

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Q: Cramer's Rule has been used to solve for one of the variables in a system of equations. Determine…

A: Cramer's Rule has been used to solve for one of the variables in a system of equations. To determine…

Q: What is the maximum rate of increase of f at P? |vf|(1,4,2)=

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Q: The sequence a,,a,a...... is defined as a₁ =n² +3n nez' i. Find the first four terms of the…

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by…

A: To find the volume of the solid, using shell method, obtained by rotating the region bounded by the…

Q: 9. Consider the function f(x) = 2x³ - 3x² - 36x +5. a. Find all (relative) extrema of f. b. Which of…

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Q: A store is having a sale where all items are 16% off. Write an equation to represent the…

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Q: An aluminum can is to be constructed to contain 1900 cm³ of liquid. Letr and h be the radius of the…

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Q: Problem 2. Introduce the following methods and evaluate the following int (1- - e-*)dx (a)…

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Q: 15. The population size of a certain small city in t years' time is predicted to be P(t) = 40 000…

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Q: 2. Given no(-1)" (2x + 5)", then the interval of convergence is -7<x<2 2<x<7 -7<x<7 -2<x<7

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Q: Find, if possible, A + B, A- B, 2A, 2A B, and B + +ZA. A. (If not possible, enter IMPOSSIBLE in any…

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Q: SO Show that the equation 2x + cos x = 0 has at most one solution. = 2x + cosx. If ab, is it…

A: We will prove the required.