12) Σ(3) test: converges/diverges

Q: se the Pinching Theorem (section 2. (a) If 7x+2 ≤ f(x) ≤ x² +8, what is t in(-²). (b) Evaluate the…

A: According to new guidelines, we have to solve only 1 question, if there are more than one questions.…

Q: 4. Use linearization to give an estimate for 264.

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Q: Find the open interval(s) where the following function is increasing, decreasing, or constant.…

A: We have to find the interval where function is increasing or decreasing or constant.

Q: Find both first partial derivatives. h(x, y) = e-(x4 + y4) hx(x, y) = hy(x, y) =

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Q: Find the derivative of y = sin¹³(t). dy dt I

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Q: Evaluate the iterated integral. 1 y [² [²x² 0 0 xey³ dx dy

A: Integration

Q: Use the matrices below. 7 6 - [14] D = F = 1 8 9 11

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Q: d) g(s, t) = 10s-e³st-7t² gt (s, t) =

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Q: Find y' where y where y = 10 sin-1 (cos (21 z)) - tan C BARANG (18 r)

A: Given: Now,             y'=10arcsincos21x-arctan18x'     =10arcsincos21x' -arctan18x'…

Q: Evaluate the indefinite integral. cos (3x) sin³ (3x) dx =

A: We need to evaluate the following integral I = ∫cos3xsin63xdx                            .........1

Q: given initial-value problem. The DE is a Bernoulli equation. x2 dy - 2xy = 6y¹, y(1) = 1/3 dx

A: See the details solution in below

Q: A bacteria culture grows with a constant relative growth rate. The bacteria count was 784 after 2…

A: A bacteria culture grows with a constant relative growth rate. The bacteria count was 784 after 2…

Q: Let f(x) = 3√x. Use the definition of the derivative (given below) to calculate f'(x). Be sure you…

A: Given f( x ) = 3xf'( x ) = limh→0f( x + h ) - f( x )h

Q: Determine if the series ∞ m=1 5+2m 4m onverges or diverges, and if it converges, find s sum. 1.…

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Q: Find fx and f, and evaluate each at the given point. f(x, y) = exy², (In 4, 2) fx(x, y) = fy(x, y) =…

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Q: Evaluate the indefinite integral. 7 [x²e dx 28 + C

A: Given query is to find the integral.

Q: The price p (in dollars) and the demand x for a brand of running shoes are related by the equation =…

A: We need to find E(20) , %increase and demand at p = $20.

Q: Given the function f(x) = 2x² − 3x + 1. f(x+h)-f(x) Find the difference quotient, h a) Find f'(x) by…

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Q: find az auf d= at (u, v) = (1, -2) ди aud 9 =√x+ 3 tan u ? วง Z = ln (9) Soly

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Q: Sketch the region of integration and change the order of integrat Br -3 JO 3 √9 - y² f(x, y) dx dy…

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Q: Express the function in the form f o g. (Use non-identity functions for f and g.) u(t) = √✓tan(t) {0…

A: given  u(t)=tant

Q: 3. Consider the function f: (-π/2, π/2)→ R defined by f(x) =tan(x). A. The function f is injective.…

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

Q: Use computer software to obtain a direction field for the given differential equation. Sketch an…

A: The given differential equation is y'=x. We have to plot its direction field with the solution curve…

Q: f(x) = of (3) = 台出 JE 13,10 lx-2y at the point (x,y)=(3,门 x+2y dy "

A: The given function is: fx,y=1x-2y1x+2y

Q: 15. S sin²a da

A: The given integration is: ∫0∞sin2α dα  To evaluate the integration.

Q: Find fx and fy, and evaluate each at the given point. f(x, y) = exy², (In 8, 2) fx(x, y) = fy(x, y)…

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Q: g) əx 3t-In (3) .

A:

Q: Consider the following matrices: [1 2 3] [1 A = 4 5 6 and B= 2 789 Compute the (3,1)-entry of the…

A: The matrices are A = 123456789 and B = 10-12103-21 Let us suppose C is the matrix such that C = AB…

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

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Q: Answer each of the following problems using the Average Value of a Function. 7. Find the average…

A: Concept Average value = 1b - a∫abf( x )dxAverage value = 1b - a[ Area under the curve with sign ]

Q: dy 1. Use implicit differentiation to find dx for the curve xy² + x² = y +1

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Q: Consider the series (See image). a. The general formula for the sum of the first n terms is Sn =…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to…

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Q: Find a formula for the polynomial P(x) with • degree 3 a root of multiplicity 2 at x = 4 • a root of…

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Q: In this problem, y=c₁e* + c₂e* is a two-parameter family of solutions of the second-order DE y" - y…

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Q: For the function f(x,y) = xexy, find fx and 1 fy. fx= 0

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Q: Fory=5x² + 15x² - 10x, determine concavity and the x-values where points of inflection occur. Do not…

A: The solution is given below:

Q: Which of the following have the same meaning as "the derivative of fat x=5"? ƒ(5) - f(x) 5-x lim 0-x…

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Q: let f(x)= 3x² -1, find [ (f(x+h)-f(x))/h] 6x+3h O6x² +6x -2 +3h none of these answers 6x-3h

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Q: please show full calculations

A: Here is the solution

Q: ) Find the general solution: x" - 9x = 0

A: The given differential equation is       x'' - 9x =0      Then auxiliary equation is     D2 - 9=0…

Q: Find -5e3ху ә Ox

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. 1)2 f(x) = ) =…

A: Please see the below picture for detailed solution.

Q: Evaluate the integral 24 [x³ (26 - 11) ²4 dr x5 by making the substitution u = x6 - 11. + C

A: M=∫x5(x6-11)24dx  d dx(xn)=nxn-1∫xndx=xn+1n+1+c

Q: The temperature at any point (x, y) in a steel plate is T = 500 -0.5x21.1y2, where x and y are…

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Q: Verify that the indicated family of functions is a solution of the given differential equation.…

A: Given  dPdt=P1-P;   P=c1et1+c1etTo Find: We need to verify the solution

Q: h the point -4,0

A: A function is said to be increasing if the value of y increases as the value of x increase. A…

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: The owner of a video store has determined that the cost C, in dollars, of operating the store is…

A: The cost function give in the question is C(x)=2x2-26x+620

Q: ob regrot el algo Demonstrate Rolle's Theorem using f(x) = x sin x on the interval [0,]

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