h(x) = [(x − 3)√6x − x² + 9 sin¯¹ (x-³)] g(t)e-2t (1+e-2t)-1/2

Q: Q3: The equation of the tangent line to the graph of y=f(x) at x=-3, f(-3)=2 & f'(-3)=5 is a)…

A: Topic:- geometry

Q: Lecture 1: exercise solutions = sin(x) x² with an initial 1.ii. Use the Newton-Raphson method to…

A: The given problem is solved below in detail.

Q: Let D be the region enclosed by y = sin(x), y = cos(x), x = 0 and x = . revolving D about the x-axis…

A: Given problem:- Let D be the region enclosed by y = sin(x), y = cos(x), x = 0 and x = π/6 The volume…

Q: 7. dx ггтV)

A:

Q: 8 kg/m, where x is measured in meters from one end of the rod. √x+1 The linear density p in a rod 3…

A:

Q: Question If you were to use a substitution of u = sin(x) to evaluate the definite integral below,…

A:

Q: Use linear approximation, i.e. the tangent line, to approximate 1.97 as follows: Let f(x) = x7. Find…

A: Given, y=f(x)= x⁷ Slope of the tangent is given by , f'(x)=d(x⁷)/dx f'(x)= 7x⁶

Q: Biologists have proposed a cubic polynomial to model the length L of Alaskan rockfish at age A: L =…

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Q: A baseball team plays in a stadium that holds 54000 spectators. With the ticket price at $11 the…

A:

Q: At 12:00 noon, there were 200 bacteria present. By 4:00 pm, there were 379 bacteria. If the bacteria…

A: Suppose N=N(t)=The number of bacteria at time t Where t is time in hours since 12:00 noon

Q: Find the ordinary interest on a loan of $850 at 11% annually made on February 10 and due May 31

A: Given, P= $850 I=11% T=(May 31) -(Feb 10) =110 days,

Q: 9/Find Parametric equations for the Line that is tangent to the curve r(t) = eti + (Sint)j + In…

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Q: Find the linear use it to estimate ln(1.44). L(x) = In(1.44) approximation of f(x) = In x at x = 1…

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Q: What is the indefinite integral of this function?  f (z) = √z (4(z-1)2 + 1/z3)

A: What is the indefinite integral of this function?  f (z) = √z (4(z-1)2 + 1/z3)

Q: - (f* (t² + 1)¹⁰0 dt)" dt - Some ₁ tanx 1 + t2 d. y = e. y =

A: According to Leibniz integral rule : ddx∫a(x)b(x) f(x)dx=fbxddxbx-faxddxax

Q: Find the slope of the curve at the given point: y = x(4x − 1)², (1, ²) -

A: Given query is to find the slope of the curve at given point.

Q: (9-x) ₁/x = (x

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Q: Evaluate e fxds, v ds, where C is a. the straight line segment x=t, y = from (0,0) to (8,4) 2' b.…

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Q: ! Q/ if A=(2, -4, 6) and B=(4,-2,5) Find the unit vector of AB UAB 2i + 2j - k √5 2i + 2j-k √5 خیار…

A: We have to find unit vector from given points.

Q: @ y = x tan 2x

A:

Q: 1) Given f(x, y) = x derivative of f? which of the following is Əyox the mixed second order par f

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Q: Find the one-sided limits of f(x). Step 2 of 2: Find lim_ f(x). X→-7+ Answer 4 Points f(x) = -7x - 3…

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Q: Use the Laplace transform to solve the given initial-value problem. y" + y = √2 sin(√2t), y(0) 13,…

A: First I have written some Laplace transform formulas then taking Laplace transform to the given…

Q: Derive the Fourier spectrum of a signal that is given by z(t) = forect (2T) exp(−j10t + jt) dt.…

A:

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Solution: L-1 {1/s7}

Q: Let A, B, C be arbitrary finite sets from the same universal set U. - (a) Is it true that A - B C (A…

A: SOLUTION-

Q: Q1: If y=sint and t= sinx, then at x = a) 0 b) c) cosl 2 dx d) -cosl e) others

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Q: Compute the required operations: a. 4a-2b

A: Take dot product of vector

Q: The eigenvalues of the coefficient matrix A are given. Find a general solution of the indicated…

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Q: Locate and classify the critical points of y=x²-4x-1

A: The given equation is  y=x2-4x-1.

Q: R is the region bounded by the functions f(x) = functions on the interval [7, 12]. Enter an exact…

A:

Q: Z A Consider the tetrahedron ABCD with vertex A at the origin as shown: (a) Find the equation of the…

A: Given that: A=0, 0, 0; B=0, 0, 3; C=0, 4, 0; D=6, 0, 0 We have to find:  a) An equation of a line…

Q: Convert the Polar coordinate to the Cartesian coordinate. 1. r= 1+2r cose 2. r=1-cos8

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Q: SR(xy)dA where R is the region bounded by x=0, y=2x+1 and y=-2x+9.

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Q: What is the average rate of change of f(x) from x₁ = -8.2 to x₂ = 2.8? Please write your answer…

A: Follow the procedure given below.

Q: Homework Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule.…

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Q: 1. Assuming that one of the sides of a rectangular field is along a river bank and no fencing is…

A: In this question, we want to know the dimensions of the rectangular field that will satisfy the…

Q: At 12:00 noon, there were 200 bacteria present. By 4:00 pm, there were 379 bacteria. If the bacteria…

A:

Q: 12 Given that f(x) = 2x 3 + x - 3, evaluate the function f(-2). 11 -69 -21

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Q: Q/Find the Taylor Polynomials of orders 0,192 and 3 generated by fat a F(x) = Sinx 29=0

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Q: Q/ find the vector whose length -5 and its direction (60°) with x axis

A: Here, the amplitude A=5, and the angle with x-axis is θ=60°.

Q: A vector collinear to ū= is: a. d. 1,-2,-3> b. -1,2,3 > e. [K C.

A: Solution is here

Q: Consider the function Step 2 of 3: Find lim f(x). x6+ f(x) = lim f(x) = x→-6+ x² + 12x + 22 19x +…

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Q: b) Use chain rule 1 y= LESANNE aretan u where u eª ue

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Q: 4. (a) Find the general form of the equation of a line through A (2,-2) and B (-2,3). 4. a) (b) Use…

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Q: h(x) h'(-6)= = f(x) g(x) based

A: Given;  h(x)=f(x)/g(x).

Q: xy h) log₂ = Z i) log2 (2/2) =

A:

Q: Evaluate the integral by completing the square and using the following formula. (Remember to use…

A:

Q: A population of birds on an island is initially 380 birds, and it doubles (or grows by 100%) each…

A: It is given that initial population of birds on an island is 380. Each year population of birds gets…

Q: 7- dx L₁EV xV1 + (In x)²

A: Here we will use the substitution method