Find all critical numbers of the function f(x) = sin77x + cos7x, 0

Q: Find the derivative. y = (6x3 + 7) 3/2 dy dx

A: y=(6x3+7)32 d dx(xn)=nxn-1d dx(constant)=0

Q: lim_ f(x) and f(1). x-1- 4) Say f(x) = 15(x-3)2(x-4)² 6x(x-2)(x+5)² Find lim f(x). X18 5) With f as…

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Q: Use the trapezoidal rule with n = 10 to approximate the following integral. *20 7 cos(4πx) dx…

A: Given integral is ∫0207cos(4πx)dx

Q: 5. Find dy by implicit diffe ? dy = ? 7y Sin (x²) = Sx Sin (4²)

A: 7ysin(x2)=5xsin(y2)d dx(sinx)=cosxddx(xn)=nxn-1d dx(a.b)=a×dbdb+b×dadx

Q: Calculate the Taylor polynomials T2 and T3 centered at a = 0 for the function f(x) (Use symbolic…

A: To find the Taylor's polynomial.

Q: A primary school has 9 students, and we'd like to award 4 prizes to 4 different students. Each…

A: We have to slove above questions

Q: 12) Let f(0) = -5, g(0) = 6, f'(0) = g(0) = -1. If h(x) = f(x) g(x), find h'(0). 13) With f, g as in…

A: To find h '(0) for the defined function h(x).

Q: Use the power property to rewrite each expression. Assume all variables are positive. log₂ (√c) =…

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Q: 3. 2(2x² + y²)dx - xydy = 0.

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Q: 3. Use a limit to find f'(4) for f(x) = x²-x.

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Q: Calculate $F.. F. dr for a path going from (0,0,0) to (1,0,0) to (0,1,0) back to (0,0,0) for…

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Q: Find a plane containing the point (-1,1,2) and the line x(t)=-8+2t , y(t)= 1+7t and z(t)=6+7t

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Q: 27 V3 Sö x²(x² + 1) - dx

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Q: Compute Ax and Ay Compute and Reduce Δæ/Δy So then, if Δæ = h and -3 2 + h - 3 Δy = = Compute and…

A: T

Q: For j(x)=f(x)⋅g(x), use the product rule to find j′(−9) if f(−9)=−5, f′(−9)=−1, g(−9)=−7, and…

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Q: At each marked point: draw a short tangent line and estimate the derivative at the point (write the…

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Q: Solve the given initial-value problem. y(x) = y" + 4y = -3, y(m/8)= y(n/8)= 2

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Q: 3 ation 4x² - yz + 4z³ - 25 = 0 at the point (1,25,-1).

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Q: Write log(y) = p in exponential form.

A: As we know that, The property is to convert the logarithmic form to exponential. if logba=c, b>0,…

Q: How would I sketch the level curves of the plane segment 2x+y+2z=8?

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Q: The equation below represents a demand function for a certain product, where p denotes the price per…

A: We need to find out the marginal revenue function.

Q: Use the Linear Approximation to estimate Af for f(x) = 3 when a = 2 and Ax = -1. (Use decimal…

A: Solution is given below:

Q: Calculate the Taylor polynomials T₂ and T3 centered at x = a for the function f(x) = 13 ln(x + 1), a…

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Q: Find the area of the region enclosed byy=2x³ A B C D E) 1 22 10 2 20 1 20 1 10 andy = 2x4.

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Q: Given the vectors à = (2,3,-4) and b = (3,k,-6):

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Q: Which of the following sequences converges to zero?

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Q: f(t): f (): eTextbook and Media (c) Estimate f (2005). Using units, interpret your answer in terms…

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Q: The line that is normal to the curve x² + xy - 2y² = 0 at (5,5) intersects the curve at what other…

A: Topic = Application of derivative

Q: Calculate the Taylor polynomials T2 and T3 centered at a = 0 for the function f(x) = = cosh (6x).…

A: To calculate the Taylor polynomials T2 and T3 centered at a=0 for the function fx=cosh6x.

Q: 1. Find th directional derivative of f(x, y) = x²z+y³z² — xyz at the point (1,-1,0) in the direction…

A: To find directional derivative of given function.

Q: f(x, y) = √3x² + 5y²

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Q: se the chain and product rules to prove the quotient rule. In other words, show that dy ƒ'(x)g(x)…

A: We will find the required.

Q: Consider the following. -h 0₁ bx (a) The figure shows a telephone wire hanging between two poles at…

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Q: y'-y=4te2t  is a first order linear DE in standard form. TRUE or FALSE?

A: Given differential equation is y'-y=4te2t

Q: 4. x² + 2xy = y² + 2² = 7, Po(1,-1, 3) -

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Q: A function f has f(25) = 22, f (25) = 2 and f" (x) < 0, for x ≥ 25. Which of the following are…

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Q: Find the derivative of the given function. 8 R = 7 tan (9t) dR dt || 0

A: Given  R = 7 tan^(8) (9t)  Find the derivative.

Q: Construct a possible standard matrix (preferably in echelon form) for the linear transformation T :…

A: We have to construct a matrix for the linear transformation T:ℝ5→ℝ6 such that the transformation is…

Q: is ty'+2y=t^2-t+1 a linear ODE in standard form?

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Q: If the length of the smaller edge, x is increasing with time, x = t² (where t = time in seconds).…

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Q: Solve the DE. (Homogeneous DE) 1. (x-2y)dx + (2x+y)dy = 0

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Q: (b) π/4 (sin(x) = cos(x)) (sin(x) + cos(x)) dx

A: M=∫0π4(sinx-cosx)(sinx+cosx)5dx ∫xndx=xn+1n+1+cd dx(sinx)=cosxd dx(cosx)=-sinx

Q: 6. Let F= Fi + F2j+F3k be a vector field and let j k VXF= 8 Әх F₁ F2 F3 OF3 OF -i (F30/F/2) -j…

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Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit.…

A: NOTE: Refresh your page if you can't see any equations. . find the given limit use L'hospital's…

Q: Rewrite the equations in general form: 1.  (x+4)^2 + (y-3)^2 = 64 2.  (x+2)^2 + (y+2)^2 = 4

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Q: ∞ dx x²+12

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Q: Suppose a company that makes lava lamps is trying to determine how to increase profit.  They find…

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Q: Let s represents the displacement, and let t represents the time for an object moving with…

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Q: Find the general expression for the slope of a line tangent to the curve of y=x² + 3x at the point…

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Q: 2. Evaluate each limit at infinity. 3x5-8 (a) lim (b) limx→ 2x² + 4 N x3+5x 1+x²

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