Evaluate the difference quotient and simplify the result. h(x) = x2 + x + 5     h(x + Δx) − h(x) Δx      ,     Δx ≠ 0

Q: CALCULUS A. How do you define Differentiation? B. Explain the principle of derivative with a given f...

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Q: Sketch the region enclosed by a + y = 6 and æ + y= 0. Decide whether to integrate with respect to a ...

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Q: An object is shot upwards from ground level with an initial velocity of 3 meters per second; it is s...

A: Let's find. 

Q: Calculate the first-order differential equation below using transformation y = xv. dy x+3y= 2x–y dx

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Q: C 1000 A В

A:  We know that law of sine is : SinA/a = SinB/b = SinC/c. Here A,B,C are angle of triangle and a,b,c ...

Q: Find

A: Solution is here

Q: 1. A missile fired ground level rises x meters vertically upwards in t seconds and x = 50t – 6.2512....

A: As per guidelines we can solve only three subparts at a time, so the first three subparts of the que...

Q: (b) A series RLC circuit is shown in Figure Q4 (b) where R=4Q, L = 0.5H, C=0.1F,E(t) =10 V and i(0) ...

A: we have given a series RLC circuit with a voltage source L=0.5H C=0.1FR =4 ohmE =10 V

Q: 5. A wooden block is made as shown in the diagram. The ends are right-angled triangles having sides ...

A: Given Total surface area = 7.200 cm2

Q: Find the value of k so that the value of (2y – 1) dy is 10. ... 1 2 3 4 А) в В) с (c) A D

A: Find your answer below 

Q: Find the values of m and b that make f continuous everywhere: 42 +a – a2 I+ 6 if x 3 When showing y...

A: Follow the procedure given below.

Q: Complete the table. 6 lim f(x) x→-11 %3D = -6 lim f(x) %3D -12 -10 -8 -6 L4 -211 10 12 X→-2 = 3 -2 -...

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Q: Written Work Directions: Please write your solution on the space provided and boxed your final answe...

A: limit

Q: a population of 7.2 million grows at a constant percentage rate.  1. what is the population 1 centu...

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Q: Find the Interior angles of the triangle whose vertices are (-1, -3, -4), (4, -2, -7) and (2, 3, -8)...

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Q: 47. For the equation: y= Vx? + 20x dy ay using the chain rule dx a. Find а. b. Find the slope of the...

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Q: 1 k + 2 k=4

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Q: Question 7 This is a cuboid. Which of the following is not a net of a cuboid? B

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Q: Question 16 dx What should be the rewrite of the integrand of S so that the resulting integral is in...

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by y ...

A: Solve the curve by using cylindrical shell method.

Q: Tuition cost, T(in dollars) for part-time students at Stonewall College is given by T = 300 + 200C ,...

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Q: Compute the directional derivative in the direction of v at the given point. S(x, y) = xy – x, v=i-j...

A: Given problem:- Compute the directional derivative in the direction of v at the given point. f(x,y)=...

Q: Differential Operator General Solution DN AxN-1 + BxN-2 +..+C (D - a)N AxN-leax + BxN-2eax + ... (D?...

A: differential equations

Q: Use the washer method to determine the volume of the solid formed when the region bounded by y = 3VT...

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Q: Operators. Unlike with the Left Side of the differential equation, we will not be able to factor, bu...

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Q: Find the value of k so that the value of (2y - 1) dy is 10.

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Q: Find numbers a and b, or k, so that f is continuous at every point. x2, ifx s5 f(x) = kx, ifx>5

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Q: Evaluate f x+3 x3+27 dx.

A: Our Aim is to evaluate the integral given below:-∫x3+27x+3dx -(i)

Q: Use the Chain Rule to evaluate the partial derivative at the point (u, v) = (0,5), where g(x, y) = x...

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A: Given: y=x+1, y=0, x=0, x=7

Q: State the property presented 10 + (4 + 11) = 10 + (11 + 4) a. commutative property b. associative...

A: Here is given that  10+(4+11)=10+(11+4)

Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for th...

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Q: Evaluate the expression. 2 7 + 3 6. 1 + 7+ 5- (Simplify your answer. Type an integer or a fraction.)

A: Topic:- algebra

Q: Compute fx, fy: f (x, y) = arctan(xy)

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Q: 2. Find the indicated values. f(g(3)) f(x) 9(x) 51 54 S(8(1)) g(S(1)) 4- 4- 8(5(0)) 3 S(S(5)) 2- 2 S...

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Q: Given the differential equation y" - 16y = x2 - 3x - 10 Find the Differential Operator for the Right...

A: According to question,Given differential equation,y''-16y = x2 -3x-10

Q: -x, x±1 f(x) = 0, x= 1

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Q: Use the graph to answer the question. Is f continuous at x = 0? %3D -4- -5- 2.

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Q: evaluate the trigonometric function of the quadrantal angle, if possible. 38. csc

A: Given,            csc3π2

Q: 9. There is an infinite discontinuity 10. There ts a Jump discontinulty at x = 0 and f(0) = -2 at x ...

A: An infinite discontinuity is a type of discontinuity where one or both of the one sided limit go tow...

Q: 6. f(x) = V7x + 6; f'(3)

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Q: Function Type Differential Operator AxN + BxN-1+..+C DN+1 AxNeax (D – a)N+1 cos(Bx) or sin(Bx) (D? +...

A: To determine the differential operator for the right side of the given differential equation.y''+4y'...

Q: The rate of change in the profit (P) with respect to the number of units sold (x) is 0.0006x² + 10. ...

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Q: road length (in kilometers), T is the total county land area (in hundred-acres (Ha)), U is the urban...

A: We will find the number of accidents. 

Q: ghing 16 pounds stretches a spring feet. The mass is initially released from rest from a point 2 fee...

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Q: Write as a decimal. (Type a decimal.)

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Q: M(x,y) dx + (xe*y – 4xy + 2) dy = 0

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Q: x* + x³ + x² – x + 1 x(x² + 1)²

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Q: Order these functions by time their complexity in ascending order 3n .2 n5:nº lg°(n), 54log25 (n) n2...

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Q: For the function defined as follows, find all values of x and y such that both f, (x.y) = 0 and f, (...

A:   Differentiate partially with respect to x and y to get the solution