Given z=(3+2i), solve e^logz

Q: Let the region R be the area enclosed the function f(x) = x², the horizontal line 6, and the y-axis.…

A: Explained below

Q: Suppose that enrolment in CLSU has been increasing over the years since year 2013 according to the…

A: Given query is to find the enroy in 2022.

Q: Find the gradient of the function at the given point. f(x, y) = 2x + 5y2 + 10, (3, 4) Vf(3, 4) еBook

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = , (1, 7, 7) 10 z…

A: We have to find equation of tangent plane

Q: Find the dimensions of a rectangle with area 216 m² whose perimeter is as small as possible. (If…

A: Find your answer below

Q: From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an…

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Q: t/3 cos e sin 20 de T/6

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Q: Find the maximum value of the function f(x) x - 9x2 + 15x- 5.

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Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(1,…

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Q: Find dy and simplify whenever possible. dx 1. y = arcsin + 4-x2 2. y = In(e¯* + xe¯*) sin x cos x…

A: To find derivative of given function.

Q: g(x) = e× In x12 g'(x)=

A: topic - derivative of a function

Q: Find dx and simplify whenever possible. 1-cosh x 1. у 3D 1+cosh x 2. y = x tanh¯x + In V1 – x²

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Q: Evaluate ſV7– x²dx

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Q: af Given f(x, y) = In(6x² + 8y²) then %3D

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx2 + y2 + z? (4,…

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Q: Find, correct to three decimal places, the point on the curve y 9 In x + eX at which the tangent…

A: Find your answer below

Q: (5) Find the local maximum and minimum values of f(r) = 1+3x2 – 2.r using either the First…

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Q: A copper ball is heated up to 100°C. It is then placed in a water whose steady temperature is at 25…

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Q: 2. 30e-3*(1+ e-3x)5dx

A: We need to evaluate integral.

Q: Consider the function y = 3x2+2x-4. What is the exact value of C in the interval [-2, 4] such that…

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: We can solve the given problem as follows:

Q: Let f be a continuous function on [a, b]. Which of the following statements is false A If k is a…

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Q: Recall: v = can be written as v = ai + bj + ck , where i = , j = and j: . Let v = – 2i + 5j – 4k…

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Q: Question Using Trigonometric Substitution, evaluate: S e4*/1+ e2xdx Your answer

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

Q: 4,0 F1 Let h(x) = f(x) g(x). Find A. h'(1) В. h' (2) с. h (3) — %3D ||

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Q: Decide if a direct comparison test can be used to determine convergence of the following series.…

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Q: Solve the differential equation. (x² + 15)y' = xy

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Q: The sum of two numbers is 8. The product of the first number and the square of the second number is…

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Q: The table below shows the velocity of an object.(cm/sec) at each sec as it moves along a track for…

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Q: Write an equivalent exponential equation. 2 log 8 4= 2 /3

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Q: Question 7 Given f"(x) = 2z – 6 and f'(- 2) = – 4 and f( - 2) = 2. Find f'(x) = and find f(4)…

A: Given query is to integrate and find the function.

Q: Find a unit vector u in the direction of v = (2,-1,5) Ou-( 30 /30 1. u = 30 30 O None of these (4,1,…

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Q: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inches by cutting…

A: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inchesby cutting…

Q: Determine whether (-±) is part of the unit circle or not.

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Q: Using the substitution z=Vx+2, the integral xyx+2 dr is equivalent to (A) | 222(z2- 2) dz .7 (в |…

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Q: Find the equation of the tangent line and the normal line of the curves at given point 1. x? + y? -…

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Q: 4v-16v²dv

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Q: Find, correct to three decimal places, the point on the curve y = 9 In x + e at which the tangent…

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Q: A student throws a ball upward from a height of 48 feet, initially at 32 ft/sec. The function that…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 u · (v x w)| to determine…

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Q: direction as the vector from the point ?=(0,3) to the point ?=(−2,−2)?

A: Given query is to find indicated vector.

Q: Consider the function f(x) whose second derivative is f''(x)=8x+8sin(x). If f(0)=4 and f'(0)=4, what…

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Q: Consider the function y = 5x4-4x3-3x2+8x-12. What is the average value of the function on [-3, 1] ?

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Q: x²+1, xs1 f (x) dx if f (x) = 2, raluate x> 1 A) 10 20 B 3 12 8 D 3

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the orthogonal trajectory for the family of straight lines passing through (3,-5).

A: Find your answer below

Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

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Q: You fianested $10o00 pt 32 pinterest fer year, fomfounded Seanic prnuallye Aftea'Houwmosnig years…

A: topic - compound interest

Q: Find the sum of the critical numbers of f(x) = 3x4 - 4x3 + 2.

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Q: 3dt 2t+8) Jt +1

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

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