¡ (ew - 3) dw? O ew - 3w+C O - ew + 3W + C O -ew - 3W + C O ew - 3+ C

Q: An exponential function f(x)=abxf(x)=abx passes through the points (0, 8000) and (2, 3920). What are…

A: An exponential function fx=a.bx passes through the points 0,8000 and 2,3920

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = X, (1, 7, 7) 10 5…

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Q: Write an equation for the function graphed below -7 6 5 4 -3 -2 y= 50 on it'st 72 3 Q

A: Topic = Functions

Q: 3. A science project studying catapults sent a projectile into the air with an initial velocity of…

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Q: Use Properties of Exponents and Properties of Logarithms to simplify and the following expression…

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Q: Write an equation for the function graphed below 5+ 4 3 2 1 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 y = -5+ 1…

A: topic- graph of a function

Q: Approximate the definite integral using the Trapezoidal Rule and Simpson's Rule. Compare these…

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Q: Find the inverse function (if it exists) of f(x) = ln (1-2x). If the function is not invertible,…

A: NOTE: Refresh your page if you can't see any equations. . to find an inverse function, interchange…

Q: Find the gradient of the function at the given point. g(x, y) = 12xe/x, (12, 0) Vg(12, 0) =

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Q: Use the properties of the derivative to find the following. r(t) = ti + 5tj + t²k, u(t) = 4ti + t²j…

A: This question is based on dot product of two vector. (a i + b j).(c i + d j) = ac + bd

Q: Let f(t)= F"(t), with F(t) = 5t2 +t, and let a = 4 and b=7. Write the integral f f(t) dt and…

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Q: 2) y" - y' — 6y = 0. бу

A: Follow the procedure given below.

Q: The integrating factor of the given DE are already given below. What is the value of “n” y2dx…

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Q: Given the diagram of the bounded area, The limits of integration Choose Area in square units is X is…

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Q: -2 -1 1+ 0 f'(x) 2 XY

A: the answer is given in step2

Q: Use implicit differentiation in finding y' . x²y+xy² =6

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Q: Find 1) the eigenvalues of matrix B 2 -1 -1 0 2 -1 2

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Q: f(x)= x/pi + pi/2+ pi/x + 2/pi Find the derivative

A: Let f(x)= x+a, a is a constant So, f'(x)=1

Q: 5. Use an iterated integral to find the volume of the solid that is bounded above by the plane…

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Q: 2 Solve the following ODES by 1.2 • ý -2y +y = e sinx Inverse Operator method X X Anse y=cie +…

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Q: How did you get 6?

A: For a horizontal asymptote to exist for a rational function, the numerator has to be of the same…

Q: The domain of the function f(x) = √3x + 23 consists of one or more of the following intervals: (-∞,…

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Q: Зу" +y=0.

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Q: Given F(x, y, z) = ei + (xe + e*)j + ye² k. (a) Show that F is conservative by finding curl F. (b)…

A: use the fundamental theorem of calculus and partial derivative for finding the line integral.

Q: • У -ky = 19.2 2 + воё, усо) =ўс 4Х -ЧХ 4X Ans: Y = 22ë + +24xе X -Че

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Q: Consider the function f(x) = √x. (a) Find the first and second Taylor polynomials for f at x = 1 .…

A: Given : taylor series =fx=f(x0)+f'(x0)(x-x0)+f"(x0)(x-x0)22!+..........     first taylor polynomial=…

Q: f₁(x) = 9, f₂(x) = cos²(x), f3(x) = sin²(x) linearly dependent linearly independent

A: Here given  functions are.  9. ,Cos2x  , sin2x

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: (b) Determine whether the series n=1 n 3n+2 n is convergent or divergent.

A: See this solution in below

Q: Select the correct answer below: Consider the integral given above. Which of the following is true?…

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Q: 1. Sketch the graph of r=1-cos in polar coordinates. [3 marks]

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Q: -4 -2 (a) x=¹t+3, y = 2² VX (b)x=²2t, y = √t 11 (c) x = ²³ - 2t, y = 2² - t ✓X III (d) x = cos(5t),…

A: Please see the below picture for detailed solution.

Q: A local club is arranging a charter flight to Hawaii. The cost of the trip is $543 each for 83…

A: We need to find no. of passengers and max. revenue.

Q: Graph f, locate all points of discontinuity, and discuss the behavior of f at these points. -1+x if…

A: In this question we have to find which graph is best for the given function.

Q: Solve a part only

A: Given the function y=2-xx2 Here, student asked part a) only, hence we are answer part a) only.

Q: What is ette-t At- ○ - In [e* O ○ ○ dx e* + C] In [e* + e* + C In [e* e*] + C -In [ee] + C

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Q: Given f(x) = x² + 7x + 6, find the following. (a) f(0) (b) f(1) (c) f(-1) (d) f(-3) (e) f(a) (f) f(x…

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Q: The graph below is the function f(x) -4 -3 -2 -1 8-1 lim 24-2 4 3 2 1 Determine the following…

A: Solution: As we can see in the graph

Q: y'(x) = 49e²7 -46₂2642 де +2.4e4x + 9.6ne 422 -4 HOW DID HE GET THE VALUE INSIDE THE CIRCLE, CAN YOU…

A: We need to find y'(x).

Q: Solve the given differential equation by undetermined coefficients y" - 2y' 3y = 12ex 9 y(x) = -

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Q: Replacement Time An outboard motor has an initial price of $2,160. A service contract costs $400 for…

A: Topic:- application of derivatives

Q: You go to the doctor and he gives you 14 milligrams of radioactive dye. After 12 minutes, 6.5…

A: Given ,  You go to the doctor and he gives you 14 milligrams of radioactive dye. After 12 minutes,…

Q: Write an equation for the transformed logarithm shown below, that passes through (3,0) and -5-4-3-2…

A: The graph is given as , Find the equation for the graph.

Q: A math teacher won a lottery that pays $1,000 per month for the next 20 years. But, he prefers to…

A: To find out the amount that the teacher will accept now.

Q: Find the area between the curves. x = -5, x=2, y = 2x² +5, y = 0 The area between the curves is…

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Q: Solve the differential equation by variation of parameters. 1 8 + ex y" + 3y + 2y =

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Q: 2. Find lim (√x + 2 = √2).

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Q: Estimate the area under the graph of f(x) = approximating rectangles and right endpoints. R₁ = 1 x²…

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Q: The function is not one-to-one. Delete part of the domain so that the function that remains is…

A: Here we have to find the inverse function.