If f(x)=x and g(x) = k -x are orthogonal over [0,4]. Then k = ..... 01 3 о ооо Pwlaw/co N/~ 04

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A: To find integral. As per our guidelines we are supposed to answer?️ only one question. Kindly repost…

Q: Let an = an lim = n→∞ bn O Calculate the limit. (Give an exact answer. Use symbolic notation and…

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Q: In Exercises 21 and 22, determine a formula for the exponential function whose graph is shown in the…

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Q: Evaluate the improper integral or state that it is divergent. 20x 64+x² ㅇ둡 01 On+8

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Q: Match the graphs below with the following descriptions by indicating the graph corresponding to each…

A: Solution: 1. The temperature of a metal ingot placed in the furnace and then removed.

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Q: How much work is done lifting a 10 pound object from the ground to the top of a 25 foot building if…

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Q: 1 (2 + -4 (x - 2)² + 2x + 1 x² +9 dx

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Q: A function f is defined for all x. Use the raph of f' to decide: a) Over what intervals is f…

A: Here we have to observe the graph.

Q: Given an acceleration vector, initial velocity (uo.vo), and initial position (xo.Yo), find the…

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Q: 1. Draw and set up the integrals for the area in the 1st quadrant enclosed by x = 4y² and x = y¹/2.…

A: I have solved step by step in detail...go through the solution

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Q: Find a function ƒ(x) such that ƒ'(x) = −8x² + 1 and ƒ(0) = 1 ƒ(x) = |

A: f'(x)=-8x2+1f(0)=1∫xndx=xn+1n+1+c

Q: tion about the origin. hat is the 13. Let T: R2 R2 be the linear transformation such that T(e₁) and…

A: Please see the below picture for detailed solution.

Q: Minimize Q = 4x^2 + 3y^2 where x + y =7

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Q: - Practice similar Help me with this Fill in the missing values in the table given if you know that…

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Q: Evaluate the definite integral 3x³-4x² x² -dx

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Q: Could a step by step solution be provided with this question? Many thanks.

A: We will find the required.

Q: Find the solution to the IVP y" + y = f(x), with y(0) = 1, y'(0) = −1, where 0 x 3π f(x) = 0 using…

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Q: Evaluate the line integral Vp dr for the following function p and oriented curve C (a) using a…

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Q: The arclength of y = 2x³/2 for 1 ≤ x ≤ 3 is:

A: The function is given as , y=2x32 Find the arc length of y=2x32 for 1≤x≤3.

Q: Find all rational zeros of the polynomial P(x) = 3x¹ - 3x³ - 7x²+x+2, and then find the irrational…

A: Given: px=3x4-3x3-7x2 +x +2 To find: Rational and irrational zeros of p(x)

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Q: Evaluate each integral. fæcos x cos(5x) dx

A: Integration by parts rule

Q: Graph f(x) = 5, x = 3. ind lim f(x) and lim f(x). x→3 x→3* oes lim f(x) exist? If so, what is it? If…

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Q: Find dy and evaluate when x = −2 and dx = 0.2 for the function y = 3x2− 4x + 2

A: Given function:- y=3x2-4x+2

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A: Part A:

Q: 10. Find the antiderivatives (show work) [cos(2x)e* dx A. B. √√x In(x)dx C. f dx √4x²-9

A: As per our guidelines we are allowed to answer only three subparts of the given problem. Kindly…

Q: 2. Find the gradient of the tangent line of the function below at x = 0. y = 1 + 2x √√₁-x²

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Q: The following are configurations of the revolved differential strip and the axis of revolution in…

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Q: Replace the polar equation r = The equivalent Cartestian equation is y = Choose the correct graph…

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Q: Question 1 A 25 foot chain is hanging from a winch located 25 feet above the ground. If the chain…

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Q: Consider the following series. n = 1 Use the Limit Comparison Test to complete the limit. n 1 1 n° +…

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Q: Evaluate the integral. 5x 2x dx fate con in die 049 O ㅇ [sin 2x + cos2x) + C 12 sin 2x-5 cos 2x) + C…

A: We need to solve the following integral I = ∫e5xcos2xdx

Q: Consider the following series. 00 n = 1 converges O diverges Use the Direct Comparison Test to…

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Q: A farmer wants to build two adjacent rectangular pens sharing a common side. Each pen needs to be…

A: A farmer wants to build two adjacent rectangular pens sharing a common side. Each pen needs to be…

Q: АМАИ 4. In the system below, k is a constant and x and y are variables. For which value of k will…

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Q: Given the following acceleration function of an object moving along a line, find the position…

A: Given;  a(t)=0.6t, v(0)=0, s(0)=5.

Q: A swimming pool whose volume is 10, 000 gal contains water that is 0.01% chlorine. Start- ing at t=…

A: Given that , Volume = 10000 gal chlorine = 0.01% Rate = 5 gal/min

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Q: For an online gaming store, the function n = f(p) gives the average of number of daily downloads, n…

A: p0 is the current price per download.f(p) is average number of daily downloads as a function of…

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Q: Suppose f(x) = (x − 3)(x − 7)³ + 7. Find the absolute extrema of f on each of the following…

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Q: Use closed interval method to find the absolute max and min values of f(x)= x/(x^2 +2) on the…

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Q: Given the equation for a “tilted” ellipse: x^2-xy+y^2=3 . Find the points (x, y) on this ellipse…

A: Here we have to find the largest and smallest values of x.