A collection of nickels, dimes, and quarters consist of 19 coins with a total of $3.35. If the number of dimes is equal to the number of nickels, find the number of each type of coins. nickels dimes quarters

Q: Solve the equation dy 2y² – x² 3ry

A: GIVEN equation in this question dydx=(2y2-x2)(3xy)   SOLUTION- as we can see dydxis a homogeneous…

Q: -X d) xy' + (1 + x)y = e¯* sin(2x)

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Q: t+1' The park is concerned about the number of invasive insects found along their hiking trails. The…

A: Please see the below answer.

Q: given the sides of a right triangle ABC,C is the right angle AB= 17 and AC = 8

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Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: Please see the below picture for detailed solution.

Q: Find a polar equation for the curve represented by the given Cartesian equation. x² + y² = 4cx k

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Q: mpute the following integrals using suitable method. [xy dxdy, where R is theregion bounded by y=1,…

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Q: 6) as an ice black metts, the note at which its moss M, decreases is directly proportional to the…

A: according to bartleby guide line we do only first part of multipleplease re post other parts 6)…

Q: 10) a 26 foot lodder bons against a building so that its foot moves away from the building at the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A farmer plans to fence a rectangular pasture adjacent to a river (see the figure below). The…

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Q: Show that the eigenvalues of A-¹ are ¹. 27 Show that A"x = λ"x if Ax = λx.

A: Given λ is an eigenvalue of A. So there exists a nonzero vector x such that Ax=λx....(i) 1.Since A…

Q: Use trigonometric substitution to evaluate the integral (a) arcsin(r)+C 9x 9 - x² √9-x² (b) 9x + C…

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Q: 5) Find the divergence of (√x² + y² + z 5) ki vj + zk)

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Q: The graph of the function f(x)=25-x² is given below. Which of the following definite integrals…

A: we use integration method to find area given  f(x)=25-x2formula for area is A=∫abf(x)dx

Q: 3 7. Given that sec x = =, 270 < x < 360° find 2 (a) sin(2x) Answer: - 4√5 9

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Q: 11. a =(3, 1); b =(− 6, − 2). Evaluate 2 12. a =(3, 1); b =(-6, -2). 3(a - b) Evaluate 3 a-b

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Q: Find the quadratic function f(x) = ax² +bx+c that goes through (3,0) and has a local maximum at…

A: Given that a quadretic function f(x)=ax2+bx+c that goes thorugh (3,0) and has a local maximum at…

Q: 3) lim X^ X-O' B) i A) O де D) ∞ a(3) = 3₂ E) nove eriste

A: Given query is to find indicated limit.

Q: 3 x³e2x dx

A:

Q: Use Stokes' Theorem to find the circulation of F = 4y? +7zj + 7xk around the boundary of the surface…

A: According to question,Given vector,F→ = 4yi→ + 7zj→ + 7xk→z = 64-x2 + y2for z≥0.

Q: Find the volume of an obround tank that is 14 in. wide, 15 ft. between centres and 38 in. high.…

A:

Q: 16) Sinx-cosy-2=0; dy = ? A) -cot X c) CosX siny B) -cot y d) -cscy cos X E) 2-COS X siny

A: given 16) sinx - cosy - 2 = 0

Q: Find the area of the region bounded by the graphs of the algebraic functions. f(x)=x² +34x+289 g(x)…

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Q: (i) The velocity and acceleration of a particle is given as v= -4i -9j + 5k and a= 6i - j + 3k Find…

A: Given velocity and acceleration vector v = -4i -9j + 5ka = 6i -j + 3k

Q: Find that interval) Find 4√√x +3 Sv Find a number c in [1,4] where the integrand achieves its…

A: We have to solve that,…

Q: an+1 Find the first six terms of the sequence defined by a₁ = 1 and 5 = an + 1 for n ≥ 1

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Q: Find dy dx by implicit differentiation. x²+2x+11xy-y²= 16

A: We have to find dy/dx.

Q: Work of 1 Joules is done in stretching a spring from its natural length to 11 cm beyond its natural…

A: Given: Work done, W = 1 Joule Strech of the spring, x=11 cm = 0.11m   Now, The spring constant is…

Q: A sailboat is sailing on a lake with a constant speed of 10 miles per hour. At noon, the sailboat is…

A: given  (1) speed of the sailboat = 10 miles/hr. (2) If at noon, t = 0, Then, at t = 0, the…

Q: The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at…

A: standard form of line is y=mx+c,  where m is slope dxndx=nxn-1d(constant)dx=0

Q: Use geometry to evaluate the following integral. 5 frixe 1 f(x)dx, where f(x) = 2x if 1≤x≤2 6-2x if…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  first we need to…

Q: 11- Iraqi's population grows at an annual rate of 3%. The population in 2022 is 40 M. What is the…

A: Given query is to find the population in 2030.

Q: 8). If y is a differentiable function of X, then the slope of the curve of; 3 = 6 at point where y=1…

A: Note: Since the student has mentioned to solve question no. (8), so we are solving according to…

Q: Differentiate the function. g'(x) = g(x) 에너 1 VX +x

A: Given:g(x)=1x+x5

Q: Find F'(x) given F(x) = f ³² z S³ z³ dz. <-3x ○ F¹(x)= 54x³ ○ F'(x)=0 ○ F'(x)=81x³ ○ F'(x) = 162x³

A: fiven  F(x)=∫-3x3xz3dzwe know  ∫zndz=zn+1n+1+cdxndx=nxn-1

Q: A triangular plate with base 2 m and height 3 m is submerged vertically in water so that the tip is…

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Q: Use mathematical induction to prove that the statement is true for every positive integer n. 4+1-4 3…

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Q: Find the Taylor series (general form) of f(x): 1 X centered at x = 1.

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Q: Determine the general solution of the DE y (4) + 3y – 4y = Ⓒy=c₁e*cosx+c₂e y=ce*cosx+c,e=*sinx -X -X…

A: given   y(4)+3y''-4yput  d=d dx(d4+3d2-4)y=0for auxilary reuation put d=m and y=1

Q: A population is modeled by the differential equation dP P d = 1.2P(1 - 2200) dt (a) For what values…

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Q: (th) h B) none existent 2) lem Cos ho A) | TheR c) 0 D)(-1) E) None

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Q: on using a single vector function (including domain) of the following curves in R

A: we have to find parametrization for the given curve ;--   a linear path along  x - y =9  from (9,0)…

Q: Could you find the equation of the graph?

A: A logarithmic graph is given and we have to find its equation.

Q: If h(2) = 5 and h'(2) = -2, find d (h(x) dx X x = 2

A: given  h(2)=5  and  h'(2)=-2find   d dx(h(x)x)  at x=2we know   d dx(ab)=bdadx-adbdxb2

Q: Use the Second Derivative Test to find all local extrema, if the test applies. Otherwise, use the…

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Q: The marginal cost function C'(x) was defined to be the derivative of the cost function. If the…

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: dh ars of growth and shaping. The growth rate during those 4 years is approximated by d gs are 14…

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Q: Use Right-endpoint Rule with n = 5 to approximate ²x x√x+2dx to 4 decimal places.

A: INTRODUCTION:  The height of the approximating rectangle is calculated using the right endpoint of a…

Q: Find the vertex, focus, and directrix of the parabola with the given equation. Then graph the…

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Q: Find the limit (if it exists). lim f(x), where f(x)= x+1- [x³ +2₁ x < 1 x+2, x ≥ 1

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