(VI 1 1+t-4 6 tv1+t / 1 t/1+t-4

Q: State the domain for the function f(x) = log3(x) - 1: O (-00, 0) O (-∞0,00) O (-∞, -1) O (0,00)

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Q: lim t→0 4t² + 3t sin t +2

A: To evaluate the following limit.

Q: Hi what is the final answer you didn't attach the answer you can see the answer is not shown here

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Q: Σ (4/5) " n = 5

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Q: Use Lagrange multipliers to find three positive numbers whose sum is 27 and the sum of whose squares…

A: To solve this problem using Lagrange multipliers, we need to define an objective function and a…

Q: Consider the following function. f(x, y, z)=√√x² + y² + z² Find fx(x, y, z), fy(x, y, z), and f₂(x,…

A: We have,    f(x) = √(x2 + y2 + z2 )Point: ( 6 , 2 , 9 )

Q: Find the definite integral 0 8 √√√9-9x² Provide your answer below: dx.

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Q: f(x)= 72 X f'(x) = (Type an expression using x as the variable.)

A: We know that the defination derivative formulaf'(x)=lim_(h->0) (f(x+h)-f(x))/h

Q: Given f(x) = 7x - 6; x < 6 x ≥ 6, 4x + 3 ; Find: lim x →6 f(x)

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Q: Find the derivative of h(x) 3 4 sin x COS X sin x COS X 2 COS X 1+ sin x - 3 cos²x (1 + sin x)³ 2…

A: To find the derivative of .

Q: State the domain for the function f(x) = log₁(x - 5) + 4: O (5,00) O (-00, 5) O (-00,00) (0,00)

A: We have to state the domain for the function

Q: answers

A: Solving the problem

Q: Identify the surface defined by the following equation. z² 2 -x² - y² + 25 + 8x - 10y = 45 Select…

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Q: R be the region bounded by the graph of y = 5√√x + 3, the x-axis, the y-axis, and the line x = 4.…

A: According to guidelines we solve only first question.

Q: 21. If u and are collinear and the magnitude of u is 7 times the magnitude of v, write an expression…

A: As per the Bartleby guidelines, answering only first question as the other questions are not the sub…

Q: Pls write on paper thank you, much appreciated : )

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Q: 3. Differentiate sin a 1+cos z with respect to x and hence, find S -dx 1+cos a

A: We need to first differentiate then solve integration.

Q: Let cos a with 0 < a < Find the exact value of tan(a + B). and sin 8 = - with <3 <³

A: Let  with  and  with .To find the exact value of .

Q: When we draw the free-body diagram of a section of a truss, how many independent equation of…

A: To find : The number of independent equation of equilibrium for a free body diagram of a section of…

Q: Verify that Rolle's Theorem can be applied to the function ƒ (x) = x³ – 11x² + 38x − 40 on the…

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Q: 2 cos z = 2 cos² (-)- Prove that sin z tan +2 cos z

A: Prove that : sinx tan(x/2) + 2cosx = 2cos2(x/2).

Q: Find the absolute maximum and minimum values of f on the set D. = {(x, y) 1 x ≥ 0, y ≥ 0, x² + y²…

A: ,

Q: An? + 15η n=23n – 5n2 – 17 1= 75. Σ

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Q: Given f(x) = |x+6| Find: lim X-5- f(x)

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Q: Consider the curve f(y) = 7y over the interval 0 ≤ y ≤ 1. Use a calculator to find the surface area…

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Q: 3. Show that Hence find x¹ - x² + √√x X x³ = x+x==²= P - [ 2² = 2² + √² dr. X

A: We need to perform integral.

Q: d) Not every function has an absolute maximum_ e) Local extrema cannot occur at the end point of a…

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Q: A space shuttle program involved 135 manned space flights in 30 yr. In addition to supplying and…

A: We have to Determine the angular speed of the shuttle.

Q: Use the disk method to find the volume of the solid of revolution bounded by the x-axis and the…

A: Region bounded by x-axis and Using Disk method , Volume of solid of revolution about x-axis will be

Q: A 9-ft pendulum swings through an angle of 40° 36'. What is the length of the arc that the tip of…

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Q: (2) Find the derivative: m(x) = =+ 1/2+ + tanx - e³x

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Q: The half-life, T, for a particular radioactive element is 13 min. Find the decay rate of the…

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Q: Evaluate the following: To evaluate the limit of the expression lim(x,y) →(0,0) (xy + 1)/(x^2 + y^2…

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Q: Evaluate the integral: I√16 + x² da (A) Which trig substitution is correct for this integral? z = 4…

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Q: Evaluate the integral. (Use C for the constant of integration.) 5 dx 49x² - 1 √x².

A: The given integral is:

Q: 2. Copy the vectors in the figure and use them to draw the following vectors (a) b2c (b) 2b = a + c…

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Q: Sxcos 4x dx

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Q: Correct. Use the ratio test for absolute convergence to determine whether the series converges or…

A: Series Ratio Test:For series of non zero numbers   with

Q: Find the first partial derivatives of the function. Əw au Əw əv || || W ev u+v8 -e¹ (u+v²)² X

A: Given

Q: Calculate the iterated integral. [1³ In(y) dy dx xy

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Q: (1) [sin(f(x))]= (2) L(r)] -

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Q: f (x) = x² − x − 2 X x+2

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Q: 5. The vertices of parallelogram ABCD are: A(3, -2, 4), B(-2, 0, 5), C(3, -5, -4) & D(x, y, z). a)…

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Q: f(x) = In(2x + 4), 9x - k, x -1

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Q: Question 2 Solve cot 8- sin 8 1+cos ( = √2 for 0 ≤ 0 ≤ 2π.

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Q: Find the absolute extrema of f(x) on the given interval (Remember, it is implied you will give the…

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Q: 1 n=3nln n-n K

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Q: Consider the following. f(x, y, z) = x²yz - xyz³, P(2, -1, 1), u = (0, -—-. (a) Find the gradient of…

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Q: 8 3 dx x +1 +2

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Q: 3e4x-2e-4x lim x-∞o 5e4x+e-4x X-8

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