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Q: Solve the differential equation.

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Q: Which of the following is the general solution to the differential equation y?dx = (xy – x²)dy? x In...

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Q: dx V4x – x2

A: Given function, It can be solved by converting denominator Into (x-2)2 form Then by substituting  u=...

Q: lim square root of (n + 2i) – square root of (n + i). C. O 12. Evaluate the ninfinity B.1 A. 2/i

A: We will multiply and divide by a factor which numerator a square type and will remove square root sy...

Q: 4x+2 find average rate of change from x=-1 t x=1

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Q: line perpendicular to another line y=7x; P(9,21) The ec ation of the normal line

A: We will find equation Of normal line. 

Q: The graph of f (x) is shown below. Which of the following statements are true? 7- 6- 4 %3D %3D -7 -6...

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Q: Study the figure below and give the value of x and y", If the least squares equation is y= 18.9476+1...

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Q: Write an equation for a rational function with: Vertical asymptotes at x = -6 and x = -2 x-intercept...

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Q: Find lim x→∞ h(x), if it exists. f(x) = 9x2 + 2x + 7   (a)     h(x) =  f(x) x lim x→∞ h(x) =

A: We are asked to find the limit of the function.

Q: 2 COS os²(5æ) sin*(5æ)dr 4

A: This is a problem of integration. Based on the general formula of integration we will solve the prob...

Q: Suppose that A= 2i + j, B= i – 4j + k, and Ĉ =j+k. What is the direction of vector A? A A. 26.6 E of...

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Q: 13. Find the solution set of c) 2x? – 3x – 4| < 5 Зх — 4| <5

A:   The given inequality is 2x2-3x-4≤5. Absolute Rule: If x≤a, a&gt;0 then -a≤x≤a.

Q: There is a jump discontinuity at x = 1 and lim f(x) = 1

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Q: 10. Using the method of undetermined coefficients, write the form of the assumed particular solution...

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Q: Evaluate the following integrals. 1. 4x sec .3 -1 x dx

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Q: t (s) 0 0.2 0.4 0.60.8 1 s (ft) 00.45 1.5 3.8 6.59.6 Find the average velocity over the interval 0 <...

A: Average velocity =V=(displacement between two points)/(time needed to make the displacement)   V=( s...

Q: Find the volume of the solid generated when the region enclosed by y = a, x = 1 and y O is revolved ...

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Q: Determine the approximate root (x_r2) of the f(x) = 0.35x^4+2x^3 -x^2+0.36x +4, upto 2 iterations us...

A: f(x) = 0.35 x4 + 2x3- x2 + 0.36 x +4 f(-2) = -9.68 &lt; 0 f(0) = 4&gt;0 Hence, a root lies between -...

Q: Determine (with proof) if the following series is converging absolutely, converge conditionally or d...

A: This question is related to behavior of infinite series, we will solve it using Ratio Test. 

Q: A tank in the shape of an inverted right circular cone is full of water. The water weighs 62.4 pound...

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Q: (MULTIPLE CHOICE) Which of the following is(are) differential equation (s) with homogeneous coeffici...

A: To determine which of the following is(are) differential equation(s) with homogeneous coefficients.A...

Q: Find the equations of all tangent lines to the graph of y=x -7 x+ 49 that pass through the origin (0...

A: Equation does not passing through origin.  Hence there are no tangent line whose passing through ori...

Q: csc 0 tan 0 dr – (r csc 0 + tan² 0) d0 = 0 -

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Q: Consider the following. cos(x) + Vy = 3 (a) Find y' by implicit differentiation. y' = (b) Solve the ...

A: Derivative

Q: dx Evaluate V4x – x2 - A. 2 3 C. 4 D. B.

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Q: Let R = [0, 12] × [0, 12]. Subdivide each side of R into m = n = 3 subintervals, and use the Midpoin...

A: The solution is given below

Q: Determine whether the series converges, and if so find its sum If the series diverges, indicate that...

A: The given series is summation of 1/(81k2+63k-8).

Q: Differentiate the following functions. Show step by step solution and Indicate your final answer. y ...

A: A detailed solution is given below 

Q: Which of the following is true for the function f(z) - a -4, z<1 -2, O a. f(1) = undefined O b. lim,...

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Q: tan 361° – tan 31° 1+ tan 361° tan 31° Find the exact value of V3 O- V3 O. 3. O-V3 V3 01 О-1

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Q: 2. Explain how we know the function f(x)= 2.x is one-to one. Then find the inverse function f. x- 3

A: We are asked to  find the inverse of the function.

Q: 3. Find the determinant of the following matrices: -5 0 1 2 -1 -1 -2 3 C. -4 -5 -6 -3 4 1 7 -8 9. T-...

A: We have to find the determinants of the below matricies.

Q: 2- 1- -4 -3 -21 0 2 3 Graph of f The function fis continuous for -4 <x <4. The graph of f shown abov...

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Q: Use Simpson's Rule and n = 4 to find an approximation for the definite integral Vr +1 dr.

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Q: Question

A: We will find the value of sin theta. 

Q: Determine the intervals of continuity for the following function. AY 5- 4- 3- 2- 14 0+ 1. 2 3 4 6. 5

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Q: .2 1 0, Jo 0/ a² +y? + z2 fipxpzp?

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Q: A trough is 40 ft long and has semicircular ends, with the flat side facing up. The semicircles have...

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Q: 2xyy'=1+y^2 solve using separation of variable (diff eq) when y=3 and x=2

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Q: Use Simpson's Rule and n = 4 to find an approximation for the definite integral Vr +1 dr %3!

A: Here, the given function is: f(x)=x3+1 Now, the Simpson's rule formula to approximate the definite i...

Q: Question 3 Consider the function h(x,y, z) = e10-xy + sin(2nz). (а) (i) Calculate the gradient of h....

A: As per bartleby guidelines we only give first question answers with subpart.

Q: Find B and τ for the space curve below.

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Q: Since lim k→+0 (k + 1)!/3k+1 k!/3* k+1 lim k→+∞ 3 +00, k! the series (converges/diverges/inconclusiv...

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Q: Find all the maximum and minimum points of f(x) = x4 – 8x2.

A: As we are not given any particular, we will take the help of the graph here.

Q: x'e-2x dx 20 dx 2

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Q: +2 7. (i) Show that A(c) !! (-2)* (ii) Given the previous part, find a closed form for >

A: Find your answer below 

Q: dx 4x x 3.

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Q: For the next six questions, consider the differential equation: y/" + 4y = g(x), g(x) # 0

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Q: Find the derivative of the following exponential functions: ans. y' = -4e-4x 1. y = e-4x ans. y' = x...

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