Use the vertical line test to determine if y is a function of x in the graph. Oy is not a function of x Oy is a function of x 654321 X

Q: and a) x = y² + 1₁ x = 0, y =- y = 2 The volume generated by revolving the region about the line y=2…

A: We can solve as follows

Q: If the vectors a and b are such that |a| |b| = -5, and a b = 10, then the angle between the two…

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Q: 59. A. If ey dy = 3x² and y(1) = 2, then the particular solution y(x) is dx y = ln x³ +2 C. y = ln…

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Q: A gallon of milk is slowly leaking inside your refrigerator. The number of ounces in the container,…

A: The given data is: V(t)=128e-0.007t To find: How fast is the milk leaking from the gallon container…

Q: The acceleration function (in m/s) and the initial velocity are given for a particle moving along a…

A: The given acceleration function:at=t+4.Also, if v is velocity function, then v0=6.The given interval…

Q: J 2 x sin -1 xdx

A: The given integral is: I=∫x2sin-1xdx   Apply the integration by parts to solve the given integral.…

Q: Sx³sin (x²) dx

A: Let's solve given integration.

Q: What is the equivalent limit of Riemann Sum expression of the definite integral So (4-²-x) dx?…

A: Given that,

Q: One car leaves a given point and travels cast at 20mph. Another car leaves I hour later and travels…

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Q: The pressure P and volume V of an expanding gas are related by the formula PVb = C, where b and C…

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Q: Double-angle Formulas (d) sin 20 = 2 sin cos 0 (e) cos 20 (f) tan 20 = cos²0-sin² 0 = 1-2 sin² 0 = 2…

A: In this question we have to prove the following Trigonometry to LHS equal to RHS. NOTE: As per our…

Q: For the following system: a) Determine how, if at all, the planes intersect. [2T] b) If they do,…

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Q: Given : 6 (x, y, z) Compute the gradient = 3 6y³ z³ - 5 ex at PA (2,2,1-5) of G (x, y, z)

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Q: 2- Concisely describe what the following terms mean for a set of vectors and how we quickly check…

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Q: Evaluate the following function at the specified values of the independent variable andsimplify the…

A: We will put all the values in f(x)

Q: Compute dy if y=U³₁, V= dx 4x+1

A: Differential

Q: Let R be the region bounded by x = 1-y², x = 2 + y², y = -1, and y = 1. Find the volume of the solid…

A: The symmetry means we can integrate from 0 to 1 and double the answer. x = 2 + y² opens right and…

Q: Suppose you are taking a multiple-choice test with c choices for each question. In answering a…

A: We have to find the conditional probability.

Q: Q2.B. A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another ticket is…

A: here we have to find probability of given  total ticket = 19  we have to find two ticket both are…

Q: 12. R sed e A fourth-degree polynomial P(x) satisfies A4P(0) AP(x) = P(x + 1) - P(x). Compute…

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Q: a) [ Show that the equation 6x + 6y-6z + 3x² + 3y² + 3z² = 18 represents a sphere, and find its…

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Q: B: Solve the following integrations: fx³e-2x¹ dx b-S. -dx x³ +10 c-f 3sec³x. tanx dx arks

A: a) ∫x3e-2x4dx Let x4=t Then, 4x3dx=dtOr, x3dx=dt4 By substitution,…

Q: x' sinx dx

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Q: Find the absolute extremum, if any, for the following function. f(x) = 4x² - 7 Select the correct…

A: This question is based on application of derivative.

Q: Find an equation of the line tangent to the graph of f(x) = (5x-9)(x+6) at (2,8). The equation of…

A: This question is based on application of derivative to find slope of tangent line.

Q: 11) S₁0 x ³ lnx dx

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Q: 1 r+5√√x+6 dr

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Q: a = 6i + 4j + 8k and b = 9i – 6j + 12k. a) [ 3] Determine whether the vectors a and b are…

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Q: Q1): Determine the general solution of the O.D.E: (1-x) y'-y²=0

A: The given differential equation is:  1-xy'-y2=0   As we know that; The Power Rule: ∫xndx=xn+1n+1+C ;…

Q: Find the general solution of the following differential equation. 64y" + 16y' + y = 0 NOTE: Use c₁…

A: The given differential equation,     64y''+16y'+y=0

Q: Find the following limits for the piecewise function: f(x) = { x + 1, +5, a) lim f(x) - x-3 b) lim…

A: (a) Given that, the function is fx=x+1                x≤2x+5          2< x≤4. Obtain the value of…

Q: Differentiate Quident rule 4x² + x √x

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Q: In problems 1 and 2, list both the order of the DE and state whether the DE is linear of nonlinear.…

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Q: 47. Find the sum of the values of a and b such that f(x) = 2ax² + bx + 3 has a relative extremum at…

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Q: 1. Find the solution of the following differential equation? Then find the particular solution with…

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Q: Determine p'(x) if p(x) = (5x)7x and x = 4. Select the correct answer below: O 2028 (51n 20) O 20…

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Q: 1. Find the area bounded by the curves between the curve y=1+x and the line y-1 x

A: area between curve

Q: B: solve the system of equations by Grammer Metho 3x₁ −2x₂ + 4x3 = 19 x₁ +5x₂ −x3 = -12 x₁ + 2x₂ +…

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Q: Differentiate'. y=ın [(4-x)² (4x-5) (X²-17)] 2

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Q: \(\) The geometric representation of the equation -4x² - 4y² = -12 is not a cylinder in R².

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Q: T₁ 0 1+e²x dx Hint: e²* = (e*)²

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Q: 7. A company sells two models of a product. Suppose the profit equation is P(91,92)=−16.0 +598.8q₁…

A: We have to find the profit.

Q: If 1900 square centimeters of material is available to make a box with a square base and an open…

A: In this question, we want to find the largest possible volume of the given box.

Q: Variation of parameters: Solve the DE y " +y = sec x O y = c₁ cos x + c₂ sin x + Incos x cos x + x…

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Q: Evaluate √t (3t-t²) dt

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Q: Find (x,y) for the lamina of uniform density p bounded by the graphs of the equations x = 169-y² and…

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Q: Find the absolute extreme values of each function on the interval. 1 F(x) = - 0.5 ≤ x ≤2 x2, =…

A: Topic:- application of derivatives

Q: 63. 100% los telborey adi The graph of g consists of a semicircle and two line segments for -4 ≤ x ≤…

A: To find the area between the given curves.

Q: Assume that the radius r of a sphere is expanding at a rate of 80 cm/min. The volume of a sphere is…

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Q: The acceleration function (in m/s2) and the initial velocity v(0) are given for a particle moving…

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