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Q: The area of a certain rectangle is 52 square yards, and its perimeter is 34 yards. Find the dimensio...

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Q: Solve the initial-value problem. x²y' + 2xy = In(x), y(1) = 5 %3D

A: givenx2y,+2xy=ln(x), y(1)=5y,+2xy=ln(x)x2this is a standard form of linear diffrenetial equationy'+P...

Q: 1(1!) + 2(2!) + ..+ n(n!) = (n + 1)! – 1. %3D 3.

A: (3) The given expression in the LHS can be written in the form of series as, ∑n=1nnn! Now solve the ...

Q: Help me number 5 pls. Find the derivatives of the following functions with respect to x and simplify...

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Q: Find d2y/dx2 for y = tln(t) + 9t, x = tet + 1.

A: Given, y=tlnt+9t and x=tet+1

Q: Suppose that g (x) is a function that is defined and differentiable for all real numbers x and that ...

A: According to your question, a format of equation what I derived is attached but parallel you have to...

Q: Find the formula for the function represented by the integral 1 -dt= 5t+1

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Q: #46

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Q: 6) Find f(x) for f(x) = sec(vx2 + 1).

A: We are solving the first question and for the next question post the question again and alsomention ...

Q: Let f (x) on [0, 27). = cos x. Determine the x-value(s) where the function has a maximum or minimum ...

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Q: Consider the following. P(x) = 4x4 − 3x3 − 29x2 + 53x + 15 Find all the zeros of the polynomial fu...

A: We have to solve the equation 4x4 -3x3 -29x2 +53x +15 = 0

Q: Find the area between the curves. x= - 5, x = 2, y =x, y = x² - 2 The area between the curves is (Ty...

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Q: 1. Find the exact value a. cos (5π/4) b. cos (-11π/6) c. tan (5π/6) d. tan (-π/3) e. cot 120° f. cot...

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example tha...

A: Consider the constant function. fx=1 Clearly, f''2=0. But the graph of constant function is a line a...

Q: A fence must be built to enclose a rectangular area of 5000 ft 2. Fencing material costs $4 per foot...

A: Let x denotes the length of sides that takes $4 per foot for fencing. Let y denotes the length of si...

Q: 1. Use the Ratio Test to determine the convergence of Divergence of the sires. 5" n=1 n*

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Q: 15.7.515

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Q: For the DE (D^2 - 2D - 3)y = 0, Find the value of y when x =1, for the particular solution that has ...

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Q: Answer question 1

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Q: Use a Riemann sum with m = n = 2 to estimate the value of I/ Vi+z+y³ dA y3 dA R over R = [1,2] × [0,...

A: Given, ∫∫R1+x+y3dA Use Riemann sum with m=n=2, over R=[1,2]×[0,3]={(x,y)∈R2:1≤x≤2 and 0≤y≤3}

Q: Calculus Question

A: 6x6-2x4+9x2+9 is divided by x-2 Now, 6x6-2x4+9x2+9=6x6+0x5-2x4+0x3+9x2+0x+9

Q: A driver driving along a highway at a steady 49 mph.... (please refer to image) Please make sure to ...

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Q: A skydiver jumps from an airplane. Suppose that the distance she falls during the first t seconds be...

A: The distance she falls during the first t seconds before her parachute opens is s(t) = 976 (0.835t– ...

Q: A town has a population of 5000 persons, but is expected to grow by 2% every year.(i) What would be ...

A: A town has a population of 5000 persons and expected growth is 2% every year. (i) To find population...

Q: ain(2 9. Find lim 10. Find lim sin(3) 11. Find lim 1-sec(x) 12. Find lim sin ( -9 T a-3 24

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Q: dy dy Use the graph of the equation y =f (x) in the figure below to find the signs of and at the poi...

A: At point A, y' is negative and y'' is also negative.

Q: The accompanying figure shows the graph of the height h in centimeters versus age t in years of an i...

A: From the given graph, the coordinates would be h(5)=110, h(0)=50, h(10)=140, h(15)=175, h(20)=170 Fi...

Q: A cone circumscribes a sphere of radius 5 inches. If another sphere circumscribes this cone, what is...

A: To Find: If another sphere circumscribes this cone, what is the minimum surface area of this sphere ...

Q: State the y-axis intercept for the line with the equation 4x + 7y = 84. %23 O a. 19 O b. 12 O c. 32 ...

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Q: Find the common ratio of the geometric sequence: {- 8, 56, – 392, 2744, 19208, ...} r =

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Q: Find a polynomial function P, with real coefficients, that has the indicated zeros and satisfies the...

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Q: Find dy/dx and d²y/dx?, and find the slope and concavity (if possible) at the given value of the par...

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Q: Write the differential equation (unlimited, limited, or logistic) that applies to the situation desc...

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Q: Find the exact value of the expression, if possible. Do not use a calculator.

A: The given expression is cos-1cos4π3. Obtain the value as follows.

Q: 1. Find positive value of p for which the 3. series converges. 25 n=1 p

A: Given:Given that an=3pnTo find:we find the value of p for which the series converges.

Q: Assume that x and y are both differentiable functions of t and are related by the equation y=cos(2x)...

A: Given, y = cos2x We have to find dy/dt when x=π/4, given dx/dt=−4 when x=π/4.

Q: Find the center of mass of the point masses lying on the x-axis. m1=6, m2=2, m3=6 x1=−6, x2=0, x3=4 ...

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Q: The area of the bounded or included region between the following graphs is:

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Q: Find k so that f has a relative extremum at the point where x = 3. k 2.

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Q: find the point in which the line meets the plane x = 1 - t, y = 3t, z = 1 + t; 2x - y + 3z = 6

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Q: Even if it's just adding and stuff. Please show all work, I'm dumb.

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