What is the equation of the line tangent to the graph of y = 2x³/2 at the origin? Oy=0 Oy = 2r Oy = 3x¹/2 y=1

Q: Determine whether or not the following functions are continuous at (0,0). -1 for (x, y) = (0,0) a)…

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Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the…

A: To find whether given series converges or not and if yes then find sum.

Q: Which graph represents two functions that are decreasing on all points across the domain that is…

A: To find out the graph in which two functions are decreasing in the domain common to both.

Q: Evaluate the given Laplace transform. Do not evaluate the convolution integral before transforming.…

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Q: A ball is launched straight up in the air from a height of 7 feet. Its velocity (feet/second) t…

A: Between 3 seconds and 7 seconds the ball's average velocity is ???

Q: Determine the points of inflection on the graph of f(x)= 1 x²+3 -1 and 2 -1 and 1 2 and -2 None of…

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Q: (0)3-3x+2 sinh' (In x) cosh (In x) (E) sin(2x)dx dx N

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Q: Find the maximum value of the function y = on the interval 1<x< 4. In x Approx. 2.79 Approx. 2.89…

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Q: Eliminate the arbitrary constants of the following. Simplify your answers.  3. y = c1x + c2/x

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Q: 1. Evaluate the integrals below. 5x²-x +3 (a) J x³ + x (b) [√v √√√x – 1 dx dx

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Q: W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable. = If u(3, 6) = -7, us (3,- 6) =…

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Q: Ps(x) = p4(x) = = DA + k = =

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Q: Please solve the last 2 parts as well please from the above equation

A: This question can be solved using the concept of derivatives.

Q: Pre-Calculus  :  if x=2x=2 is a solution to the equation x^3-4x^2-31x+70 = 0x3−4x2−31x+70=0, find…

A: We have to find out solutions

Q: A box has square ends, and the sides are congruent rectangles. The total area of the four sides and…

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Q: You are given the following points A to J A(4,2,0) B(2, 5, -1) E(0, -6, 7) F(5, -3, 7) G(-5, -1, 4)…

A: This question can be solved using the concept of vectors and three dimensional geometry.

Q: What values does the function(x)=√x+1-3 have in its range that are not in the range of the graph of…

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Q: defined on the interval [-9.4247778, 1.45619445]. Enter points, such as inflection points in…

A: Solution: Given f(x) = sin2(x/3)       interval [-9.4247778 , 1.45619445]

Q: -1 If f(x) = e calculate ƒ '(2).

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Q: 7) y (2xy + 1) dx - xdy = = 0

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Q: Find AB using the following matrices: 7 8 1 2 3 A= B= 9 10 4 5 6 11 12

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Q: Obtain the differential equation of the family of circles of fixed radius r with center on the…

A: We have to obtain the differential equation of the family of circles of fixed radius r with center…

Q: Find the rule that describes the piecewise-defined function. (Type an exact answer, using radicals…

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Q: Evaluate the integral. (Use C for the constant of integration.) The integral of sqrt((4+x)/(4-x))dx

A: To evaluate the integration.

Q: = 4 ln(x¹ - y) at the point (3,80,0), and use it to Find the linear approximation to the equation…

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Q: Verify by Differentiation

A: This question can be solved using the concept of differentiation of function of function.

Q: A body weighing 64 Ib is dropped from a height of 100 ft with an initial velocity of 10 ft/sec.…

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Q: Find : dw/dk @=2 α - sin m καὶ 2

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Q: Problem 5. An observer is positioned 3km away from a rocket launch pad. How fast is the distance…

A: This question can be solved using the concept of rate of change.

Q: Which of the following relations is not a function? a.{(3,3),(2,3),(0,4),(1,4)} b.…

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Q: Initially 100 milligrams of a radioactive substance was present. After 8 hours the mass had…

A: The radioactive decay rate is proportional to to the amount of substance is present at time t.…

Q: The plane with normal vector (4, 6, 7) containing the point (-5,-1,5) has equation Ax + By + Cz = D.…

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Q: Find the value of the Sum Σxi' if x₁ = 8₁ x₂ = −3₁ X3 = 4₁x₁4 = - 1=1

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

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Q: A stone is dropped off a 784-8 cliff. The height of the stone above the ground is given by the…

A: Using the fact that when stone hit the ground h=0

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the…

A: This question is related to series and sequence, we will solve it using given information.

Q: Find the mass of the thin bar with the given density function. 2 p(x)=x√ 16-x; for 0≤x≤3

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say…

A: Given :∑k=1∞k!k6

Q: Evaluate the given Laplace transform. L(3t² cos(t)} 6(s³ - 3s) a. (s² + 1)² (s³-3s) b. (s² + 1)³ C.…

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Q: Determine whether the series converges. O The series diverges. O The series converges. Σ k In(k + 4)

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Q: A consultant determines that the percentage of people who will have responded to an advertisement…

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts.…

Q: 4. i) Determine the values of a and b for fx) - -2x³ + ax + bx + 6 so that f'(-2) - 0 and f'(7) - 0.…

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Q: The Summation means that we take 2 the sum of 1²+3 as i goes from 6 to 8 { li i=6 (143) =…

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Q: 8 8 Suppose ff(x) dx = • ƒ ƒ(a) dz − −1 and 19 (2) da − −4 -1 g dx = -4. 5 5 8 Evaluate f(-2 f(x) +…

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Q: Based on the graphs of f(x) and g(x), what must the domain of (f. g)(x) be? 10 8 7 6 5 2 g(x) 1…

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Q: The motion of a point on the circumference of a rolling wheel of radius 4 feet is described by the…

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Q: Which of the following definite integrals represents the area of the shaded region? A. S²x² dx B.…

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Q: Find the general solution of the given differential equation. xdy + (3x + 1)y = e-3x dx y = Give the…

A: Given problem :-

Q: Find the angle (where 0° ≤0 ≤ 180°) between the following vectors. 0 u 9, 15 >, degrees 0 ||

A: here we have to find angle between two vector  use formula  cosθ = u*v/[u][v] [u] = 92 +(-15)2 [u] =…

Q: xsin (y) + ycos(x) = 1

A: To find the derivatives of the given functions.