Solve the differential equation f'(x) = 6x, f(0) = 8.

Q: The graph of y-f(s) has the following features: .im f(a)=-1 2-460 Um f(z)-3 2448 f(z) = -00 f(z) = ∞…

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Q: Consider the function f(x) = -x³-2 on the interval [-9, 4]. Find the absolute extrema for the…

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Q: to ú -2 5 4 Submit Question 3 2 1 -1 -2 -3 -4 N -5+ In the above graph of y = f(x), find the slope…

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Q: Question 2x ¹x03x²-4 lim,

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Q: S 8 Y Solve the matrix equation Ax = b for x S -0- с 10 -1 3 Given A = -9 1 -3 x I 31 -3 10 X cand…

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Q: The graph below is the function f(x) DO 8 4 Find lim f(x) I-1- Find lim f(x) Z-1+ Find lim f(x) HI…

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Q: 1) Find the egin of the tangent I normal line to the graph y y=√x-1 at the point (3,2) 100

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the volume of the solid generated by revolving the region bounded by z=²+1, y=0, and r= 2 about…

A: Here we have to find the volume.

Q: Sketch the region and find its area (if the area is finite). S = {(x, y) |x ≥-2,0 ≤ y ≤ 21e-2/2} 1 e…

A: Please find sketch and area of given reason in below step:-

Q: 3. Draw the graph of y = x² + 2 and the tangent line to this graph at x = −2.

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Q: Consider the function f(x) = 4x³ 30x² + 48x on the interval [-3, 7]. Find the absolute extrema for…

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Q: Assume that B is a Boolean algebra with operations + and. Prove the following statement. De Morgan's…

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Q: I ✔ Choose... Continuous Condition 1 is not satisfied Condition 2 is not satisfied Condition 3 is…

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Q: Find the indicated derivative. q² + 1 3q - 4 dp for p da

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Q: Find the limit of the following functions 1 (3x² + 5x-6) lim x→−8

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Q: ?) the equation 8cos(5) = 1 has ten solutions (g

A: Given: Now,                 8cos5x=1⇒cos5x=18⇒5x=arccos18+2πn, 5x=2π-arccos18+2πn⇒x=arccos185+2πn5,…

Q: Find the derivative of the function using the definition of derivative. g(x) = √5 + 4x g'(x) = State…

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Q: Find an equation for the surface obtained by rotating the curve y = x^0.5 about the x-axis.

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Q: A particle starts at the origin with initial velocity i- j + 3k. Its acceleration is ā (t) = 6t i+…

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Q: 7) lim 1+1 L'Hopitals Rule 2x²-(3x+1)√√x +2 x-l x(cos x-1) - sinr-r 8) lim

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Q: Suppose an arrow is shot upward on the moon with a velocity of 49 m/s, then its height in meters…

A: It is known that velocity is defined as the rate of change of hieght function

Q: Give a limit expression that describes the right end behavior of the function. Use - ∞ or ∞o where…

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Q: if n(A U B) = 97 and n(A) = n(B) = 69, find n( A ∩ B)

A: We are asked to find n(A∩B)

Q: Determine the sum of the following series. 113 + 69⁰ 5 3n+ 5 Σ(™)

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Q: 14. Find the limits for the following functions by using L'Hopital's rule: 1) lim 5x²-3x 7r²+l 2)…

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

A: Question - Find f' (x) and find the equation of the line tangent to the graph of f at the indicated…

Q: Find the indicated partial derivative. f(x, y, z) = eyz²; fzuz fxyz(x, y, z) = || X

A: To find the indicated partial derivative.

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: The given function, fx=11-2xif x<2x2-xif x≥2. We have to find the limit of the function at x=2.

Q: 11) 2e(2 sin 7x) sec 7x dx

A: Here is the solution:

Q: Using the graph of f below, determine what type of discontinuity does f have at the given numbers.…

A: There are several types of discontinuities, including: Jump Discontinuity: A function has a jump…

Q: 3x² – 5ƒ(x) 2x+1 f(x)

A: given that , f(3) =-5   and   f'(3) =4(a)  if   g(x)=3x2-5f(x)then finding  g'(3):-…

Q: if I 5 Use a graph to determine the following limits. Enter DNE if the limit does not exist. lim…

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Q: ne cost of producing x units is given by C(x) = 21294 + 1.1x + 14x² dollars. Find the value of x…

A: Given query is to find the value of x , which gives minimum average cost.

Q: Differentiate the function. 2x² + 8x + 8 VX y' = y = X

A: The given function y=2x2+8x+8x. We have to differentiate the given function.

Q: 1. Find f'(x), f"(x), and f(x) for the following functions. a. f(x) = (2-3x)5 b. f(x) = 2¹2 +324 c.…

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Q: Find the linear approximation to the equation f(x, y) = 4₁ approximate f(8.3, 2.13) xy 4 at the…

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Q: If tan 0= 0 0 0 0 0 -0.54 - 1|2 3√/13 13 2√13 13 0.18 w/so V5 √15 4/3 7√53 53 5/3 7 and 0° <0<90°,…

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Q: 2. Find the limit of the following functions a. lim (-3x² + 5x – 4) x-18

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Q: The graph below is the function f(x) 5 4 3 2 + -4 -3 -2 -1 ut -2 Determine the following values.…

A: Introduction: In mathematics, the limit of a function is a fundamental concept in calculus and…

Q: Graph the given piecewise function f(x) f(x) = x-1 (x - 2)² +1 2+ if x ≤0 if 0 2

A: The given function, fx=1if x≤0x-1of 0&lt;x≤2x-22+1if x&gt;2 We have to sketch the graph of the…

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A: Answer: The solution is given below:

Q: The points (-2,-1,2), (1, -3, 12), and (-3, 3, 2) lle on a unique plane. Use linear algebra to find…

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Q: (a) lim f(x) x-0- (b) lim f(x) 21- x-1- (c) lim f(x) x-2- Ι

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: - 2x + 1 is a tangent line to the graph of y = 4. Given that y = tangent line to y f(x) at x = 1,…

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Q: If f(x)= X N X-2 X-6 where is f not differentiable?

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Q: Given that Calculate f'(-1) = f(x) = x¹²h(x) h(-1) = 5 h'(-1) = 8

A: given  f(x)=x12h(x) h(-1)=5 and h'(-1)=8 differentiate f(x) with respect to x by chain rule  we get…

Q: d(A x B) dt. = A x dB dt d.A dt. X B

A: Please see the below picture for detailed solution.

Q: -3x+7 for x < -1 Let g(x)=x² +3 for-1<x<4 5 for x ≥ 4 Evaluate: i. g(3) ii. g(-2) iii. g(-1) iv.…

A: Topic = Function

Q: This separable IVP: du dt = e4u+7t, u(0) = 9 has solution: u(t) = Question Help: Video Post to forum…

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Q: Calculate the double integral of f(x, y) over the triangle indicated in the following figure: 4 3 2…

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