VER For a battery of voltage V and internal resistance r, the total power delivered to a load with resistance Ris P = (R+r) dP assuming that r is a variable and R is a constant. dr (Use symbolic notation and fractions where needed.) dP dr Calculate

Q: If f(x) = -1/2 then f(³)(x) = , A O 2 2:3 O O 6 2 ການ 6 x4

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

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Q: 6X-1 4X+1 X+7< 6 OX<-89/2 (-∞, - 89/2) O X<- 89 (00,- 89) O X<-2/89 (-∞, -2/89) O X<∞ (89/2, ∞) 8

A: x+7&lt;6x-14-4x+16x+7&lt;6(6x-1)-4(4x+1)4×6x+7&lt;36x-6-16x-424x+7&lt;20x-1024Multiply 24 on both…

Q: 1.y = 5x + 2

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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: 76 students at a local sports school were surveyed about which fitness activity they would like to…

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Q: Suppose that the function fis defined as follows. -1 if -3.5<x< -2.5 0 if 2.5<x< -1.5 - f(x)= 1 if…

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Q: Determine an equation for the tangent to each function at the point with the given x-coordinate. 77…

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Q: Find the directional derivative of the function f(x, y) = ln(x³ + y³) at the point (3, − 2) in the…

A: Use the gradient of function for finding the directional derivative.

Q: Determine the critical numbers for f(x) = (x-a)*(x-b)*. Ox=a, x=b and x=m+n h Ox=-a, x=-b and x=n+m…

A: Since you have asked to solve two sub questions we will solve it.

Q: X1 + 4 x2 + 3x3 = 2 2x16 x2 + 6x3 = -3 5x12x2 + 3x3 = -5

A: Given :2x1+4x2+3x3=22x1-6x2+6x3=-35x1-2x2+3x3=-5

Q: Complete the following. (a) The graph of y=g(x) is shown. Draw the graph of y=-g(x+1). x 5 ?

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Q: 2) 2xydy + (x² + y²) dy : > 0

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Q: x.e²ydy + 12 dx = 0

A: Follow the procedure given below.

Q: The equation (y-x)=x(dy/dx) is Bernouli (y^n> 1) O linear in x O Homogenous O variable separable

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Q: + + 1.3 3.5 5.7 + .. + ……. (2n-1)(2n+1)

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Q: A person x inches tall has a pulse rate of y beats per minute, as given approximately by -1/2 y=598x…

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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: Refer to the graph of y = f(x) = x² + x shown. a) Find the slope of the secant line joining (-4,…

A: Given:    f(x) = x2 + x

Q: Find an equation of a plane containing the following 3 given points P, Q, and M: P (3,-1, 2) and Q…

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Q: Question 12 If A is the area of a variable square with side s, what is the rate of change of A with…

A: Solution ) area of variable square A = s2  Differentiate with respect to s  dA/ds = 2s [ formula…

Q: Find the solution of the given ODE. (6x² - 7y2) dx - 14xydy = 0 2x³ - 7xy² = C 3x² - 14xy² = C O…

A: Given problem:- Find the solution of the given ODE.   (6x2 - 7y2) dx - 14xydy = 0

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: 1. 5 Let the function s(t)- 111 x² + 10x + 15 represent the motion of a toy car as it travels near a…

A: Note: Since, the student has mentioned a typing error in the function and want to replace the x's…

Q: If y = (3 + 2x), what is y"? 00 48(3 + 2)2 © 12(3+2r)? O24(3 + 2)²

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Q: 3. Find the volume of the solid that results when the region enclosed by the curves x = = y² and x =…

A: If the region bounded by x=f(y) and x=g(y) on [ a, b], where f(y)≥g(y)is rotated about the y‐axis,…

Q: A graphing calculator is recommended. (a) Find the equation of the tangent line to f(x) = x² - 2x +…

A: Solution

Q: From a group of 18 student representatives, 5 will be chosen to work on a fundraising committee. How…

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Q: 50 own. Draw the graph of y=g(2x).

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Q: r3 + y = Ty, then y = 32 3» ყ passos " 1 — 34 + ყ 3.72 O x - 3x² + y 3y² O 32 — y — 3g2 - lf

A: Given

Q: Solve the differential equation. 15. 2x ( 3x + y – ye^-x2) dx + (x^2 + 3y^2 + e^-x^2) dy = 0

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Q: Volume of Solid of Revolution Submit a pdf file of your handwritten solutions to the problem.…

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Q: If a force of 128 lbs is required to stretch a 10-ft spring by 4 ft. How much work is done by…

A: Here we have to use the concept of integral calculus

Q: Refer to the graph of y = f(x) = x² + x shown. a) Find the slope of the secant line joining (-4,…

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Q: Solve for C in the solution for dx/dy = xy^3/(2y^4+x^4); y(2)=4 Use 2 decimal places

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Q: For vectors ?⃗ = ⟨2, −3, −2⟩, ? = ⟨1, −4, 2⟩ Find the projection of vector ?⃗ onto the vector ?.

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Q: calculate the purchasing power of this amount

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Q: Determine the equation of the tangent to the curve where x=0. y=-1+x Oy=-x+1 Oy=1 O None of the…

A: You have asked multiple questions, we will solve the first question for you and the rest can be…

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: Verify by Differentiation

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

Q: Q.1.A: Find the domain and range of each function (choose only two) 3. G(t) = 6 1. F(x) = 1-√√x 2.…

A: Here we have to find the domain and range of the function

Q: If y = (1+x)8 (x + 1)7 True False then dy dr

A: We can solve this as follows:

Q: 2. Below is the graph of f'(x). For what value(s) of x does x) have a point of inflection? TO A -3…

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Q: -1 If f(x) = e*, calculate f '(2). ƒ' (2)=-4e² ƒ' (2) = = = = √² ƒ'(2) = = √₂ None of the above O O

A: Given f(x)=e-x-1, we need to calculate f'(2)First we need to find the derivative of…

Q: sin 4x Does it exist? '. 1. Calculate lim 2. Find lim x-2 x-2 x-2 3. Find the asymptotes of - and…

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Q: Transform each graph as specified below. (a) The graph of y=f(x) is shown. Draw the graph of y=f 5…

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Q: 02:- b. find the total differential dz. z = x sin xy + x³

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Q: Carlos surveyed 50 students about their favourite subjects in school. He recorded his results.…

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Q: Find the general solution of the given ODE * dy x+2y-3 dx 2x+y−3 (x+y)³ = C(x + y − 2) Option 1…

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