① use First_principle to solve 강종 If y=45-35

Q: Given g(x) = 9x + 5x, answer the following: Part: 0/3 Part 1 of 3 (a) Find g (-x). g (-x) = 0⁰ 0101

A: A function g(x) is even if g(-x)=g(x). A function g(x) is odd if g(-x)=-g(x).

Q: Graph the function. = (x) = -4 X for-4<x<-1 for -1 < x < 4 -x² +16 for x ≥ 4 16 11 V 15- 14. 13- 12…

A: Consider the function  Consider the function    z(x)=-4                     for  -4&lt;x&lt;-1x…

Q: d. (f/g) (x) f(x)=3x+4; g(x)=2x-3

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Q: the region of integration, reverse the order of integration, and evaluate the integral. 10 xy 20 Xe…

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Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y -2 (a) lim f(x) =…

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Q: 2. (x² + y² + 1)dx + x(x − 2y)dy = 0

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Q: J = * By using trapezoidal rule, n=2, The integral π/2 sin (x) dx 0.9482 0.9480 0.9481 0.9444…

A: To evaluate the integral J=∫0π2sin(x)dx usiing Trapezoidal Rule:

Q: 6. Evaluate lim no 3n²-7n +41 2n² +42n- en

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Q: The function h is defined as follows. h(x) = x² +7x-18 x²-8x+7 Find h (4). Simplify your answer as…

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Q: General solution of the differential equation 1-3xy X X X 11 2y 1 2y + 이름 4yy 1 4v ① -) (c) -음

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Q: FR Find the absolute maximum and absolute minimum of the function f(x) Enter an exact answer. If…

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Q: Find the derivative of the logarithmic functions: y = ln ( 4x^3 - x^2 + 1^2)

A: Application of derivatives

Q: (1) Suppose directional derivatives of the scalar function f(P) at a point P = (x, y), in the…

A: Solution: Let ∇f=xi+yj Then ∇f.3i+4j5=1⇒xi+yj.3i+4j5=1⇒3x5+4y5=1⇒3x+4y=5............(1)

Q: Q3\ Find the Laplace Transform to the following function L sin2t cos3t

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Q: Sxe 2x dx

A: Integration by parts: ∫u·v dx = u·∫v dx - ∫ddxu·∫v dx dx   We have to evaluate ∫x e-2x dx.

Q: b) Find the value(s) of z such that the angle between the vectors U₁ = and U₂ = is equal to 30°.

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Q: The radius r of a circle is increasing at a rate of 5 centimeters per minute. Find the rate of…

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Q: Question 1 C(0, -3,-1). Consider the points A(2, -1,0), B(3, 0, -2), and (a) Find the equation of…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

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Q: S: x²(In x) dx

A: We can find the integration as below.

Q: the Tonowing Tun f₁(x) = x, f₂(x) = x², f3(x) = 4x - 7x² g(x) = C₁f₁(x) + C₂f₂(x) + C3f3(x) Solve…

A: To check whether f1,f2 and f3 is linearly independent or not , find solution of trivial linear…

Q: ● If a = 2j and b = 4k, then a b = 8. Select one: True False

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Q: Se³x cos (2x) dx 3x

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Q: A card is chosen from pack of playing cards. What is the probability that it is either red or a…

A: We have to find probability of given question.

Q: Calculate the definite integrals (a) I₁ =¹7 (2x − 1)(x + 2) dx - 18 (b) I₂ =2₂¹8 (x + 2)(√√x - 2) dx

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Q: Q5: Find the area shared by the cardioid r = 1 + cose and the circle r = 3 cos 0. Graph the two…

A: Find the area shared by cardioid and the circle.graph the curve indicating these

Q: Q2: solve the differential equation x²y' = y² + xy + x² subjected to the condition y(1)=1 and give…

A:

Q: H.W: replace the following polar equations by equivalent Cartesiana equation, then describe or…

A: Basic conversion ways of polar form to Cartesian form are used along with concept of geometry.

Q: \(\) The geometric representation of the equation -4x² - 4y² = -12 is not a cylinder in R². Select…

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Q: Problem 3. Solve below definite integrals In(x) (a) fate" dt. (6) fated. (c)(3) dz. 3te5tdt, 31…

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Q: sketch the figures and show step by step solutions. Find the volume generated by the revolving the…

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Q: 5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. raph the two…

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Q: Find the area of the surface obtained by rotating the curve about the x-axis. Select the correct…

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Q: 12. Use the Limit Comparison Test to determine whether k³ + 3k-1 2k5+5k2-6 converges.

A: The given series,    ∑k=1∞k3+3k-12k5+5k2-6

Q: x fare cos = dx 2

A: Indefinite Integration

Q: Find all solutions of the equation in the interval [0, 2π). cos2θcosθ-sin2θsinθ = -1 write all…

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Q: 36. Determine the exact simple interest on P 2,000 for the period from January 10 to October 28,…

A: The solution is given in the next step.

Q: b) Determine, showing steps, whether the line [x, y, z] = []+¹] intersects the plane: 3 x + 7y + 8z…

A: We have to find the intersection of plane and line.

Q: Define R as the region that is bounded by the graph of the function f(x) = -2e, the x-axis, x = 0,…

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Q: Evaluate the definite integral. 2 cot-¹(x) 1+x² 1 - 1 -dx

A: To evaluate the integral.

Q: Q2\ Choose true or false from the following sentences:- Matrix has only one row call Row Matrix.…

A: 1- true Matrix having 1 row is called row matrix.  2- true.  Gauss Jordan method is used to find…

Q: <2, U = < 4, 5, x

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Q: O Evaluate Je*+1 dx

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: 3. Solve below definite integrals (a) [²3test d (b) ["* dt, 3tedt, ["¹ (c) In(x) -d.x,

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Q: \(\) Choose x such that the following two vectors are parallel u= and U= O None of the others O…

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Q: i) Determine the following information for each rational function: -domain -x and y intercepts -…

A: According to the question, we can answer only first question and rest can be reposted.

Q: 10) If 2 an = 12, then lim an = 848 n=1 (A) 1 8 (A) If lim 11) Suppose an > 0. Which of the…

A: Note:Our guidelines we are supposed to answer only one question. Kindly repost other question as the…

Q: 4. 4 1 [x²ydxdy 20

A: The given double integral is;  x2y, x from 0 to 1, y from 2 to 4.

Q: 2. Find the area of the region inside the cardioids r = a(1+cos), a>0

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Q: Situation 1 (items 43-44). For the beam and loading shown in Figure 2, determine the following: 44.…

A: We have to find the tension in cable BC.