1 1 If g'(4) = 4 and h'(4) = 18, find f'(4) for f(x) = 79(x) + 3h(x).

Q: Given the non-homogeneous differential equation y "+ 3y + 2y = 4e* The roots of its auxiliary…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: Sketch the graph of the following function and determine whether the function has any absolute…

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Q: 2. Find an equation for the tangent line to the cycloid x = et + 3, y = t² et - 3et + 2 at the point…

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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: For a given commodity and pure competition, the number of units produced and the price per unit are…

A: Let's find consumer surplus and producer surplus.

Q: If a principle of $4000 is invested at an interest rate of 6%, how many years will it be until the…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Consider the following matrix. 3 0 19-3 62 13 44 1 8 8 30 12 0 0 00 (a) Find the dimensions of the…

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Q: 7. Which of the following is the Laplace transform of S In (²-¹) A. E. 1 s(s+1) B. In None of the…

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Q: 4 3. After an appropriate trigonometric substitution, the integral ²√²+4 dx becomes (c) / cot (d) S…

A: To evaluate the integral

Q: 28-30) Given f(x) = 2x + 3 and g(x) = 3x + 5 28. If P(x) = f g then P' (2) = 29. If D(x) = then…

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Q: Differentiate the function. f'(x) = f(x) = x7³ − x + 8

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Q: A drone flies with velocity v(t) = 3ti-fj+4k. When t = 1, the drone is at (3,2,2).

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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: Find the first and second derivative for the following functions. 1. y =tan(x) 2. Y = 3(x²-4)5 no…

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Q: v = {3,k,-2} and w = {-2,1,2k} What value(s) of k are the vectors v and w perpendicular?

A: To determine the value of k for which the vectors v and w are perpendicular.v=3, k, -2 and w=-2, 1,…

Q: The total cost of producing x magazines is given by the function C(x)=600+17x−0.1x2+0.5x3. Find the…

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Q: Consider each function to be in the form y = kx, and identify k or p as requested. Answer with the…

A: Given function y = k.xpy = 1πx

Q: 9- The sum of the first 10 terms of an arithmetic sequence is 235 and the sum of the second 10 terms…

A: we need to find out the first term and commin difference of the arithmetic sequence.

Q: Let f(x) = sin(z))". Find (1). (1).

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Q: f(x) = x4−32x−12  Determine where the function is concave up and concave down. Enter your answers…

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Q: Find the area of the region bounded by the graphs of the equations. f(x)=sin(2x), g(x) = cos(x), -…

A: Please see the below picture for detailed solution.

Q: Differentiate the function. y' = y = In ( 16 = 3x²|)

A: we know that   dlnxdx=1xdxndx=nxn-1dconstantdx=0given  y=ln6-3x7

Q: Write the following limit as a definite integral on the interval [3, 8], where c, is any point in…

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Q: (a) nsider the change of variable from cartesian coordinates (x, y, z) to coordi- nates (r, y, 0) in…

A: Please see the below pictures for detailed solution.

Q: Let f(x)=2 ta(a), Find f'(z). f'(z) -

A: Given query is to find derivative.

Q: The cost function for a particular product is given by Cx) - 0.0001x³ +0.018x² +26.7x + 190 dollars,…

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Q: Differentiate the function. 1 g'(x) ॥ g(x) 1 2x 2 = = VX + X 1 5.( ) *

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Q: 4. Using a right triangle, find the exact value of cos cos (tan-¹²).

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Q: If (2,-5) is a point on the graph of f(x), which of the following points MUST be on the graph of…

A: Given that point (2,-5) is a point on the graph of f(x).

Q: 24. Below is the graph of f(x) lim f(x) = x-1 f(-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: 1 1 1 은 관 + dt

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Q: (c) At what points is the height 40 m? (Round your answers to two decimal places.) (x, y) = -52.825…

A: The given equation of the arch:y=211.49-20.96 cosh0.03291765x

Q: What is the median of the following list of numbers? [4, 12, 12 6, 10, 3] Number

A: given numbers  4,12,12,6,10,3first step is to find median is to sort our dataset from lowest to…

Q: Sketch the curve. r = 9 cos(8) O -4 ac -2 O y 2 -8…

A: Given query is to sketch the curve and find the area.

Q: 12. Find f x √(1-x²)³ dx

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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: _f(x) = 2 X 1 - 2x

A: To solve the following problem

Q: 18 Suppose c is directly proportional to the square of d. If c when d = 3, find the constant of…

A: given that , c is directly proportional to the square of d ⇒ c α d2⇒c = k d2 ................(1)…

Q: Find the derivative of the function g(x) = g'(x)= = e² 4 - 2x

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Q: 4- Say whether each given sequence is a geometric sequence, or not. Find the common ratio and the…

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Q: Two sides of a triangle are 16 and 4. Find the size of the angle 0 (in radians) formed by the sides…

A: let sides of a triangle are a and b let angle form by the sides = θlet A = area

Q: Find the dimensions of the largest rectangle that can be inscribed in a circle of radius r.

A: Answer in step 2.

Q: Solve the initial value problem dy € + ² = 5x√ỹ, _y(1) = 2.

A: standard form is dydx+p(x)y=q(x)given  dydx+yx=5xydivide by y  both sides 1ydydx+1x×yy=5xwe know…

Q: So Lov (x + y) dy dx to polar coordinates. a. Convert the integral b. Evaluate this integral. Hint:…

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Q: er the equation of the parabola graphed below, using the vertex form y = a (x-h)²+k. y = (-1,0)…

A: To solve the following problem using graph

Q: Differentiate. y' = у 4x 3 - tan(x)

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Q: (2/7/277) 2√2 4 Find the slope of the tangent line to the graph of y = arcsin(2x) at the point Round…

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Q: (4) Compute the following: I7 (a d da na" = I7a6 Jn:2x-1 haban toy (b) d dx P [etan z] tanx ₁₁)] (x²…

A: according to bartleby guide line we do only first part ofmultilly 4(a)      d dx(lnx7(x2-x+3)11we…