Q1// Converting r= 12 cos 0 r = 12 cos 0 from polar to the equation of a circle?

Q: Use the Table of Integrals to evaluate the integral. Show ALL work. S 11x³√4x²x¹ dx

A: Follow the procedure given below.

Q: f(x)=4-x², y = 4, x = 2 Find the volume of the solid obtained by rotating the region A about the…

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Q: Choose the end behavior of the graph of each polynomial function. 4 (a) f(x) = -5x² + 4x + 2x² - 9 3…

A: (a)rise to the left and falls to the right

Q: H.w2: evaluate 0.5 0.5 sinxy dx dy, using the Ax=Ay = 0.25 0 1+xy

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Q: Determine the area of the region bounded by the curves y = x4 - x2 and y = x2 - 1

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Q: Q2// Find the resulting volume of the curve y = sin x cos x rotation about the x-axis if x=0, x=/?

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Q: 6. Find the general solution of the PDE. The solution u is a function of x and y. Ux=x-yz +y³

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Q: Fibonacci method can be applied if the function is continuous only. O True O False

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Q: @ es the following uation sutisfied Cauchy. W w = Z² Rieman. s equation

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Q: Determine the area of the region bounded by the line y = 8x, y -axis and y=10. a. 25 sq. units b.…

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Q: 4. A plane travels on a bearing of 15° at an air speed of 655 km/h. It encounters a wind blowing at…

A: Given the air speed of the plane is 655 km/h at a bearing of 15°.  The wind speed is 45 km/h at a…

Q: Consider the following function. Function f(x) = 8x4 - 6x³ - 165x² - 37x + 60 (a) Verify the given…

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Q: Consider the function below. ex f(x): 8 + ex (a) Find the vertical asymptote(s). (Enter your answers…

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Q: 14. The Integral:√4-3x² a. cos²0.de dx, can be transformed into : b. 2f cose.de c. 2 f tano.de d. 4…

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Q: Find the limit, if it exists. (If an answer does not exist, 3 - xy ху lim (x, y) → (2, 1) x² +2 +9y²

A: We will apply the limits.

Q: In(y) = −3x² + ln(7)

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Q: Q6. Find the volume of parallelopiped formed by the vectors , and .

A: Given :a=<2,-4, 5>b=<-1, 0,-3>c=<3,-5,-3>

Q: 12) The growth rate for a 24-hour period of a bacteria colony is measured to be r(t) = 96e 0.24t…

A: We are allow to solve question at a time .If you need rest of answer please upload separately  Thank…

Q: 1) Write a differential equation that models this situation. Let V represent the volume (in gallons)…

A: Note: as per guidelines we support only three subparts of the questions.kindly repost next…

Q: Find x in the following equation. log 10 (x+1) - log 10 (x-1)=1 (Type a fraction or an integer.…

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Q: For each function, determine whether it is a polynomial function. Function (a) v(x)=3x² +0.6x4 (b)…

A: polynomial can have constants (like 4), variables (like x or y) and exponents (like the 2 in y2),…

Q: if Find: A = sin(u)i + was (u)j + (u)k B = cos(u) i - sin (u) j C = 2 i + 3j -K - 3K du [ A x (B x…

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Q: Determine whether the function defined is one-to-one. f(x)=√/32-x² -X www Is the function…

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

Q: Evaluate the following integral. 1 tan (√3x) 1 2 (3x)² +(3x)² - 13 0 MIN 3 dx

A: Here we have to find the integral

Q: 5x 5 y-y-ey = e

A: Given problem:- Solve differential equation y'' -y' -2y=e5x

Q: find the area of the region bounded by the curves 4x - y2 = 0 and y = 2x - 4

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Q: find distance between point A(2,-4) perpendicular on the line L: 3x- 4y=17 6.5 O 7.22 O 4.79 O 6.22…

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Q: x Q3: Show that csch-¹ (²7) = coth-¹(x+¹) x-1,

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Q: 6. If q p² p³ - 1 9² p2 µ³ – 1 1 = 0, show that pqr = 1. - 22

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Q: By using the unlimited coefficients method, choose the correct answer for this equation…

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Q: Use long division to divide. (Simplify your answer completely.) (8x237x - 15) + (x - 5) X = 5

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Q: 10. Find s(t), the length of the curve r(t) = from time 0 to t. What is the speed s'(t) of an…

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Q: m 1 Let x be a continuous random variable over [a,b] with probability density function f. Then the…

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Q: te the function for the given values of 3) [-2x+5, for x < -1 f(x)=x²-4, for-1 ≤x<3 for x ≥3 12, (a)…

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Q: Use Newton's method to approximate a root of the equation 4 sin(x) = x as follows. Let ₁ 2 be the…

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Q: 27) Calculate AC, BC and (A + B)C. Also, verify that (A + B)C = AC + BC 0 6 71 ΓΟ 1 1] 2 If A = -6 0…

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Q: One of the following is a general solution of the homogeneous differential equation y" - y' - 2y = 0…

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Q: Evaluate x³ + €

A: On solving this we will get

Q: Solve the given differential equation by separation of variables. (ey + 1)²e-y dx + (ex + 1)²e¯× dy…

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Q: Q5. Solve: = y² (1+x²), y(0) = 1.

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Q: Q8. Find all the first and second order partial derivatives of the function f(x, y) = x sin y + y…

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Q: Use the table of integrals to evaluate the integral. 2 [²³15x³√4x² 15x³ 4x²x4 dx

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Q: (x³-4x) dx

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Q: 3. The trigonometric sin cos coscos O2 cos cos O2 sin sin expression sin (0+) is equal to + cos sin…

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Q: 1) The Arc Length of the curve f(x) = coshx, 0≤x≤ In3 is: d. 312 12 3 C. b. 2²/2 0.33 lorod by…

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Q: ) Find (dy/dx) for: tan-¹(x² + y) - eln(x³y) = 5sinh(y)

A: We need to find dy/dx.

Q: Find the exact length of the curve. y = 5 + cosh (2x), 0≤x≤ 7

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Q: 1. For the function f(x)= x³ +5x²+2x-8, explain how you determine which integral values of x you…

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Q: Find a point on y = x closest to (18,0) For what x is the slope of the tangent line at x to the…

A: Given

Q: Find the mass of a wire in the shape of helix_r(t)= cos ëti+sinät j+8tk, 0≤t≤1, where the density of…

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