√1+4x4 x3 dx

Q: Consider the model dP dt where P(t) represents the size of the population at time t. = 5P+ 10P²,…

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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: Ex: Find the work done by the vector field F = (y-x²)i + (z - y²)j + (x-z²2)k Over the curve r(t) =…

A: Given: F=y-x2i+z-y2j+x-z2krt=ti+t2j+t3k

Q: What is the value of y if x=y-7

A: What is the value of y if x=y-7

Q: Find two functions fand g such that h(x) = (f 0 h(x)=√√5x-1 g)(x).

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Q: Find the solution of the following initial value problem. y″ + 11y' + 18y = 0_y(0) = 11, y'(0) = −71…

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Q: Find the mass of the portion of a sphere in the first octant with radius 1 and density function…

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Q: s sin xv9+ cos2 xda xdæ

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Q: Prove the statement using the ε, δ definition of a limit. limx→3 (4x − 5) = 7

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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: (i) Determine if the following functions are even, odd, or neither. Show your algebraic…

A: as per our guidelines we can answer only one question hence i am answering question a.), thank you…

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: A laser pointer is placed on a platform that rotates at a rate of 18 revolutions per minute. The…

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Q: Fundamental

A: We have to explain the Fundamental theorem of calculus

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

A: We have to find the absolute extremum for the function f(x)=4x4-7.

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: 65. Find the volume of the solid formed by revolving the region bounded by the graphs of y = 3-x²…

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Q: If a = (-1, 1, 2) and b = (1,3,1), then which of the following gives |a - b|? Select one: O√9 O -√9…

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

Q: 4. √ √x(2x-¹ – 1)¹/² dx

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Q: Solve the system of equations by any method. 5x +9y = 15 x 2y = 4 Enter the exact answer as an…

A: We have to find value of x&y

Q: Find two functions fand g such that h(x) = (fog)(x) and f(x) + g(x) + x. h(x)=(x-3)² ƒ(x) = ¯ and…

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Q: Find a particular solution of the differential equation COS X dy dx 1 +ytanx = cos x e cos x for…

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Q: Find the general solution of the differential equation 49y" + 112y' + 64y = 0. NOTE: Use C₁, C₂ for…

A: We can solve as follows

Q: Consider the given isosceles triangle of base 12 and edges / side lengths x. If x is increasing at…

A: We can solve the given problem by using the concept of derivatives.

Q: ○y-3 = cx6 + 3²

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Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. Ау 10- 9- 8 7 6 5 4 4 -1 0 I…

A: Here is the solution.

Q: Show that the polynomial interpolating the following data has degree 3. 비 f(x) 1 4 11 16 13 X -2 0 1…

A: using the dummy equation ax3+bx2+cx+d =0 and finding the value of a,b,c,d.

Q: Two-thirds of Ariadne’s money together with five-sevenths of Brian’s money is equal to three-fifths…

A: given:-Person A has $2.40Person C has $11.25To calculate the person B's money.

Q: Find the general solution of the following differential equation. y" 6y + 11y = 0 - NOTE: Use c₁ and…

A: This question is based on solution of Complementary function of diffrential equation.

Q: Integrate the function So x² e ²x 2x both analytically and numerically. For the numerical…

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Q: Find the volume, in cubic units, generated by revolving about the x-axis the area bounded by the…

A: Let's find volume of solid.

Q: Given : 6 (x, y, z) Compute the gradient 3 6y³z³ - 5 ex at = PA (2,2,1.5) of G (x, y, z)

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Q: Ja x?sin=1rd

A: According to question,Given INTEGRAL,Let I = ∫x2 sin-1 x dx

Q: Solve with solution determine the slope of the tangent line to the curve y=3x2 – 2x at the point…

A: Topic = Derivative

Q: The frequency F of a fire truck siren heard by a stationary observer is given below, where ± v…

A:

Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

A: Given:  f(x)=12x3−63x2−72x+6 To find the critical point evaluate f'x=0

Q: Applied Calculus Class: Please see the complet review example for reference. and solve the given…

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Q: Evaluate the integrals: 1. √ √25-x²dx

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Q: The angle u= between the two vectors \(\) and U= is equal to 0=T

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Q: tan ³ (3x) sec" (3x) dx

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Q: . Find the exact value. √x + x² 2x S² dx

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

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Q: 22. a) Determine the equation of the line of intersection of planes 1 and 2. Express your answer in…

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Q: k. [₂ x cos³ 2x sin 2x dx

A: According to the company rule we can answer only first question and rest can be reposted.

Q: Cursive

A: Please refer to the image below

Q: Ex Gen If dy = y cost and y = 3 when t = 0, then y = dt 56. A. esint +3 C. sint + 3 B. 3e sint D.…

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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: Determine the points at which the graph of the function has a horizontal tangent line. f(x) = x - 3…

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Q: Evaluate and Show all necessary solutions. 1. S √x-³√x+3x-1dx

A: The given integral is;  (5+3sqrt(x))/sqrt(x).