Determine whether z is a function of x and y + z2 = 1

Q: ermine the Interval(s) for which the function is (a) increasing, (b) decreasing, and (c) constant.…

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Q: Write the sum in sigma notation. 4 3 1. +- 6. 6. 26 | ... 8. 10 12 52 3+n Ce tn an= fram T 26 26 3+n…

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Q: (2n)! for 1· 3·5 ... (2n – 1).) 2"n! Use the binomial series to find the Maclaurin series for the…

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Q: uestion 19 Describe the largest set S on which it is correct to say that f is continuous. f(x, y, z)…

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Q: Solve the following given differential equation  using the method of indeterminate coefficients

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Q: 1) What are the equations (4 of them) that show the relationship between polar and rectangular…

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Q: If x= tane, then cost do by trigonometric substitution. dr = (1+x2) ½ True B) False

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Q: Find the equation of the plane perpendicular to the line x 2t, y = 6 - t, z = 4+t and containing the…

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Q: If {(=)dz = f(x)dx f(x)dx + f(x)da f(x)dx, what are the bounds of integration for the first…

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Q: Ise Part 1 of the Fundamental Theorem of Calculus to find the derivative of the fum 8(x) = [" 1 dt t…

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Q: 1 Given Rn 7+i- cos 7+ i- , express the limit as n → ∞ as a definite integral, n i=1

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Q: Find f and f, and evaluate each at the given point. 3xy f(x, y) = V2x + 2y (1, 1) " (x, y) = 5,(x,…

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Q: Solve the problem. Solve the differential equation model of a population growth: dP 0.5P. dt O P(t)…

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Q: (ar3+ bx2+ cx) dr =2b x2dx where a,b and c are constana A) True

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Q: 5. Evaluate r'sin(y³) dy dx

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Q: Q3) Apply the logarithmic differentiation to find the derivatives of: x+1 y=(sinx-x)**

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Q: Solve the initial value problem. 4 y(x) = 4 sec(3.xr) tan(3x) ; y(7) = 3

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Q: ||r(t) × r"(t)|| ||r"(t)||* Use the formula k(t) to find k(t). 13 r(t) = 3 cos(3t)i+3 sin(3t)j + tk…

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Q: Ay 4- 2- -> 4 -2-

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Q: Ise Newton's method with the specified initial approximation x, to find x, the third approximation…

A: Solve the following

Q: 7. Find the area of the region bounded by y = 5x² +1, x = 0, x = 2,y = 0. Give a sketch of the…

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Q: dr 5. 1 r+3

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Q: Use the graph to complete the following.

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Q: f (x) = x² + 1

A: Given :

Q: raluate the following definite integrals.

A: Topic:- definite integration

Q: Evaluate the indefinite integral. (Use Cc for the constant of integration.) |

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Q: Evaluate the integral dx (5x + 9)* by making the appropriate substitution: u = dx (5x + 9)*

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Q: Use the derivative formula below to compute the derivative of f(x) = x2 - 5x. SHOW WORK. You may…

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Q: The directional derivative of f(x, y) = cos(x²y³ ) in the direction of the vecto v = 3i + 4j is Du…

A: The given function is: f(x,y)=cos(x2y3) So, ∇f(x,y)=∂f∂x,∂f∂y…

Q: 21 13 f(x)dx – f(x)dr f(x)dx where a = and b

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Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table.…

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Q: 16z Consider the function f(x) = x°e f(x) has two inflection points at x =C and x = D with C<D where…

A: 1) The given function is:…

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 5 cos(t)i + 11 sin(t)j +…

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Q: 4x | 13- dx 3-4x -4x2

A: ∫4x−4x2−4x+3dx=4∫x−4x2−4x+3dx Rewrite x as x=x+12−12 and split the expression:…

Q: (a) rªr- (b) y2 (c) e-4z+3e7z=3 ,71–3 (d) In(ez)

A: we have to simplify

Q: et dz V1-e2x

A: Given problem:-

Q: H.W (3) 1- find fxy fxx fyx fyy for f (x,y) = x2 +3xy- y*

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Q: 2. A turns 100 RPM and B 150 RPM as shown; they are connected by rolling cones. Calculate the cone…

A: Solution: wa = 100 rpm wb = 150 rpm

Q: Evaluate the integral by making the given substitution. (5x)tan(5x)dx, u = 5x + C

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Q: 12 and sin 0 < 0, find (Please show the solution.) 5 If tan 0 = %3D - (a) sin 20 (b) cos 20 (c) tan…

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Q: Consider the following function. T: R2 → R3, T(x, y) = (2x², 2xy, 2y²) Find the following images for…

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Q: 4. a = 20 m [W 30°S] b = 30 m [W 40°N]. Find a - b. %3D %3D

A: We need to find a-b.

Q: Perform the following integration. If a u-substitution is needed, indicate the choice for u. S sin“…

A: To evaluate : ∫sin4⁡3xcos⁡3xdx Let I = ∫sin4⁡3xcos⁡3xdx Let sin3x = u Differentiating both sides we…

Q: Solve the initial value problem. 4 y(x) = 4 sec(3.x) tan(3.x) ; y(7) = %3D 3

A: y'(x) =4 sec(3x) tan(3x)y(x)=∫ 4 sec(3x) tan(3x) dx3x=t,dx=dt3y(x)=43∫ sec(t) tan(t) dt     =43 sect…

Q: Have a look at the following graphs and write the mathematical notation of the following definite…

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Q: Find the exact average value fave Of f(x) = V4 - x between 0 and 2, then find an exact number c in…

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Q: The acceleration function (in m/s2) and the initial velocity v(0) (in m/s) are given for a particle…

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Q: Solve the differential equation for general solution y' = 2x - xy; y = 5 when x = 0 %3D O y =…

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Q: dy = 2 – y dx Find the correct direction field for the differential equation ノー\\ ババーと

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