dy Find dz and simplify: y=ln[tanh(ax)] where a = constant

Q: 10n2 + 18 Σ 7η2+ 16η+ 21 n=1

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Q: Find the vector component of v = (4, – 1, 7) along b = (1, 2, –2) and the vector component of v…

A: Given v=(4,-1,7)      b=(1,2,-2)

Q: SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.…

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Q: Question Using Rolle's theorem for the following function, find all values c in the given interval…

A: f(x) =2x3+452x2+21x-2Since f(x) is a polynomialIt is continuous on -4,2It is differentiable on…

Q: х2 — бх + 9 dx V6x – x2 бх —

A: NOTE: Refresh your page if you can't see any equations. .

Q: Suppose (2,1) is a critical point of a function f (x,y)· If D=4x – 5y and f=x+y, XX classify the…

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Q: 4 (3x – 4)³ dx = f(u) du a where (enter a function of x) dx (enter a function of x) = np (enter a…

A: ∫343x-43dx  ---->1Substitute u=3x-4Differentiate du=3dxSince u=3x-4Substitute x=3u=3(3)-4u=5So,…

Q: dz Use the chain rule to find when %3D and s=2 t=1· - ds z=3x+4y, x=s³r?, _y=s²

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: nocalcuatorspls

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Q: Find the exact value of the indicated trigonometric function of 0. 4 31) tan 0 = -, 0 in quadrant II…

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Q: What is the area enclosed by the curve r = 2 cos 30? Answer is in square units. Use two (2) decimal…

A: First draw the diagram then find the interval and last intergate it.

Q: Write the following in terms of sine, using the cofunction relationship. cos(6π/13) Write your…

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Q: Given: -(-3)"(х — 2)" Vn + 2 n=0 7 Use Alternating Series Test to show that the series converges…

A: See the answer below

Q: L Sketch the plane curve by plotting points. Indicate the orientation of the curve. (Hint: Create a…

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Q: Show clear and detailed solutions. Given: Let A = (1,0, 2) and B = (6,–2, 3) Solve and calculate for…

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Q: Suppose f is continuous on [3, 10] and differentiable on (3, 10). If f(3) = -1 and f'(x) 2 5 for all…

A: We have to find the minimum value of f(10).

Q: Find of the function x³ z2 – 5æyz = a? + y %3D

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Q: 1. Find the general solution of the system with the following equations. lip = -9x + 5y dt dr = 2x –…

A: Given system of differential equationdxdt=2x-2y    and    dydt=-9x+5yLet    X=xy      , A=2-2-9…

Q: Apply L'Hôpital's Rule to evaluate the following limit. It may be necessary to apply it more than…

A: Solution :let,y=limx→0+cosecxsinxtake log both…

Q: Use the indicated change of variables to evaluate the double integral. 4(x2 + y²) dA X = y = (0, 1)…

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Q: 678 COS (x³) dx 3

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Q: Let g(x) = F(t) dt, where fis the function whose graph is shown. y 3- fAt) 2- 1 t 8 16 24 32 -1 -2…

A: We have to find the local maxima,local minima and concave downward.

Q: tan-(n) Consider the series 1+n² n=1 Show that the series satisfies the conditions for integral…

A: Integral Test:If f is a continuous, positive, and decreasing function of x on the infinite interval…

Q: Find a point c satisfying the conclusion of the Mean Value Theorem for the function f(x) = x^-7 on…

A: Given problem:- Find a point c satisfying the conclusion of the Mean Value Theorem for the function…

Q: A particle moves along the x-axis with velocity given by v(t) = 3t2 + 12t – 6 for timet > 0. If the…

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Q: The tanh (2x) sech (2x) dx is equal to sech? (2x) sech (2x) -2*) O A. 1 +C 2(e2 +e 3 10 B. tanh6…

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Q: Solve the given initial-value problem. xy' + y = e*, y(1) = 8 y(x) = Give the largest interval I…

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Q: Use upper and lower sums to approximate the area of the region using the given number of…

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Q: 3. Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x-y + z =…

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Q: Find the gradient of the function at the given point. In(x2 - y) - 2, (2, 3) Z = Vz(2, 3) =

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Q: Determine the equation of the tangent line to the curve f(x) = 2sinx + sin²x at the point (E)

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Q: x² + 2 (х - 2)(х2 — dx 2x + 2) **

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Q: (n!)2 (x-2)2 is equal to The radius of convergence of the series .... .... n=1 3" (2n)!

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Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

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Q: 5) A pendulum swings though an angle of 25° each second. If the pendulum is 45 inches how far does…

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Q: Solve the initial value problem. dv = + x, x > 0; y(1) = 5

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Q: Given f (x,y) =4e * In y with x = 3x In (u cos t) and y = u sin t. The correct value of dz evaluated…

A: option (B) is correct see below the calculation

Q: A particle moves along the x-axis with velocity given by v(t) = 6t2 – 18 for time t > 0. If the…

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Q: Use AMNP, as needed, to complete the given parts. Part 1: Let h be the height of AMNP. Osino OcosO…

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Q: There is a terribly designed set of stairs. It is not possible for you to step from one step to the…

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Q: Use the equation giving the flux of the vector field across the curve to calculate the flux of F(x,…

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Q: Consider a function f(x) whose domain is a < x < b Given the graph of f'(x) answer the following…

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Q: 4. Determine the general equation of the plane containing the points P(1, –4, –5), 3 Q(2,0, 13) and…

A: Given :P(1,-4,-5)Q(2,0,13)R(-3,34,6)

Q: If Y = x I" y = rn then y =? In a In x O None of the above In x In In x x2 27n ln x

A: The given function is y=xlnx We have to find derivative of y Now, rewrite the function:…

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (5, 2)…

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Q: Q4. Solve the following problem using the simplex method: Minimize z = x- 4y Subject to 2x - 3y <6 x…

A: NOTE: Refresh your page if you can't see any equations. . for simplicity, use variables  the given…

Q: Use trigonometric substitution if possible dx x? (9x2 – 4)2

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Q: Consider the parallelepiped with adjacent edges u = 7i + 3j + k v = i+j+3k w = i+ 8j + 6k Find the…

A: As per given question  We are going determine the volume

Q: Find the directional derivative of the function at the point in the direction of the unit vector. 3…

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