U = Identify u and for the integral du dx 1 / ² (du) a dx || du dx (4 - 6x²)4(-12x) dx dx.

Q: Find all y-intercepts of the following function. Express your answer as a coordinate point in…

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Q: 8. Sketch a graph of f(x) that satisfies all of the following conditions: i) f(x) is continuous and…

A: The objective of this question is to sketch a graph of a function f(x) that satisfies all the given…

Q: Estimate the slope of the line. y 10 9 8 7 6 5 4 3 2 1 1 72 3 4 5 6 7 8 9 10

A: The objective of this question is to estimate the slope of the line given the x and y coordinates.…

Q: Determine the rule for a polynomial function with rational coefficients and least possible degree…

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Q: O 16xsec²(4x²)tan(4x²)

A: Given that the function

Q: S+9 The inverse Laplace transform of s² +6s+13 is e-³ cos(2t)+3e-3 sin (21) a. -31 b. 3e³¹ cos(2t)+…

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Q: What is the most likely rule for the polynomial function represented by the graph below? A 300 D 200…

A: To find polynomial function from the graph:Identify the x-intercepts of the graph to find the…

Q: Find the relative extrema of the function f(x)=- 1 2π (x-5)² 2

A: given funciton  to find the extreme points.

Q: Consider the solid created by rotating the region under y = 1/x for 1 ≤ x <∞o about the x-axis.

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Q: Find the volume of the smaller region cut from the solid sphere p<= 8 by the plane z=4

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Q: Find - 6x+1 x² +1 -dx.

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Q: limit does not exist, explain why. b Ay 8 177 6 5 4 3 2 11 15 3 4 15 →>>>> G OB. The limit does not…

A: If  then

Q: 3. The graph of the twice-differentiable function fis shown in the figure below. Which of the…

A: As we know The function increasing when  and decreasing when The function concave up when  and…

Q: Find the derivative of: -7e-3* cos(-9x). [Hint: use product rule and chain rule!] Use e^x for e*.…

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Q: he general solution of the linear system ÿ' = Aÿ is etermine the constant coefficient matrix A. -188…

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Q: 2 6 [₁² ( 4x² + $/2 ) dx = x²

A: I=∫12(4x2+6x2)dxUsing the Power Rule∫xndx=xn+1n+1+C

Q: Consider the following position function. a. Find the velocity and speed of the object. b. Find the…

A: Given, the position functionr(t) = , ,  , for t ≥ 0We finda) The velocity and speed of the object.b)…

Q: Fx' Fxx X SIN Y + Y SIN X +xy FIND Fyl Fyy! Exyl

A:

Q: 4. Write an equation for line l if line I passes through points (3,3) and (4,-1)

A: Formula for the equation of line is given as

Q: Consider the vector field F = (x¹y³, x³y¹). O The vector field is not conservative The vector field…

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Q: Convert the point (x, y, z) = (2, −3, 1) to spherical Give answers as positive values, either as or…

A: Convert the point (x,y,z)=(2,−3,1) to spherical coordinates.Using spherical…

Q: Find all x-intercepts of the following function. Write your answer or answers as coordinate points.…

A: We need to find the x-intercept of the given function.

Q: Find the area of the shaded region in the figure enclosed by the curves r = sin(20) and r = 2 +…

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Q: (d) k=1 5k 8k+6

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Q: For the vectors u = (-4,1,1) and v= (-2,2,3), express u as the sum u = p + n, where p is parallel to…

A: We have to express u as the sum of p and n.

Q: The function h defined by h(x) = Select one: True False 3x² +5x-1 x³ = x+2 has a vertical asymptote.

A: The objective of the question is to determine whether the equation x³ = x+2 has a vertical…

Q: r(t) = (8et sin t,8et cos t,8et) Find the tangential component of the acceleration. at = (Type an…

A: r(t)=&lt;8etcost, 8et&gt;

Q: Use Green's Theorem to calculate the work done by the force F on a particle that is moving…

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Q: Which is equivalent to (2 sint cost)? dt

A: Let f(t)=2sin⁡tcos⁡tUsing double angle formula2sin⁡tcos⁡t=sin⁡(2t)

Q: Find the exact length of the curve described by the parametric equations. x = 1 + 6t2,    y = 5 +…

A: Find the exact length of the curve described by the parametric equations.x=1+6t2,y=5+4t3,0≤t≤3Using…

Q: FIND ALL LOCAL MAXIMA, LOCAL MINIMA, AND SADDLE POINTS FOR EACH OF THE FolloWING FUNCTIONS F(x,y) =…

A: We have given a function and we have to find the local minima, local maxima and saddle points.First…

Q: Find the arc length of the following curve on the given interval. x = 7 sint - 7t cos t, y = 7 cost…

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Q: Water is leaking out of an inverted conical tank at a rate of 14900 cubic centimeters per min at the…

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Q: Use the divergence theorem to find the outward flux of F across the boundary of the region D. F =…

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Q: Find the radius of convergence and the interval of convergence of the series. n=1 8n-1

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Q: 8) Find two positive numbers such that the sum of twice the first number and three times the second…

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Q: Consider the following dose-response curve: 540 R(x) = 1+539e-0.22 where x is in milligrams.…

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Q: Use the formula for the slope of the tangent line to find dy for the curve c(t) = (t−¹ – 8t, 7t³) at…

A: Explaination of answer is as follows

Q: 13. Let g be a polynomial function whose graph has a point of inflection at x = 3. Which of the…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Evaluate. Check by differentiating. 1 3же-3x dx 1 3xe-3xc dx=

A: The given integral is

Q: Find the critical points of the following function. f(x)= 3 Xx 3 - 9x Select the correct choice…

A: The given function is; f(x)=/3 - 9x

Q: Find the exact value of the integral using formulas from geometry. 320k (1 + 2x)dx (1 + 2x)dx=…

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Q: c) lim 0-100 sin 20 Өг

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Q: Sketch a graph of a function f that is continuous on (-00,00) and has the following properties f'(x)…

A: The given function  is continuous in the interval  and satisfies the conditions and on and and…

Q: Rewrite the following polar equation in rectangular form. + X Correct 12r= 6csc0

A: Given,

Q: Consider the following. x = 3  sin(t),    y = 4  cos(t),    0 < t < 2? For which values of t is the…

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Q: Question 3 Determine whether the series converges or diverges. State the test you used. Show all…

A: According to Bartley guidelines we solve only three parts of the question, repost the next part of…

Q: Find T5(x), the degree 5 Taylor polynomial of the function f(x) = cos(x) at a = 0. T5(x) = Find all…

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Q: Find a number a in [0, 1] such that f(a) = fave over the interval [0, 1]: f(x) = 3x² 0 √3 3 1 √3 3

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Q: evaluate the integral dx 8+2x-X² S

A: The given integral is 1/sqrt(8+2x-x2)