Given the function: if x < 1 Ax - 3, if x >1 Find A given that f is continuous at x 1. f(x) = %3D

Q: In x dx

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Q: state the arder, degree, and linearity of the filowing differe ntial squtions ) ax* 9 + asx) : 3x-4…

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Q: (a) Find f,(1, 4) and f,(1, 4). ,(1, 4) = (1, 4) =

A: By our policy we are allowed to solve one question at a time and maximum three subpart. So here I am…

Q: i 1 2 3 4 0.25 0.5 0.75 1 f (x) | 0.000|| 0.060 | 0.172 | 0.159 | 0.050 (a) Sketch the area…

A: Let's find.

Q: Let f(x, y) = (x² – y²) / (x² + y²). Why does - lim (x,y)→(0,0) f(x, y) not exist? You are dividing…

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Q: Solve the following equation: tan 2x+ tan 3x 4

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Q: 3. S: (х2+2)2 dx

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Q: Use any method to evaluate the integral. S 300 dw w?/100 - w? ... S- 300 dw w/100 – w? (Type an…

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Q: How much will a person pay for 4.5 pounds of bananas at a price of $2.29 per pound? alars. The price…

A: I am attaching image so that you understand each and every step.

Q: 7. Given: y = 3 ; Find: dy/dt V16+tª -613 (16+t*) -2t3 (16+t*) (16+41) 글 (16+t*) ? (E) None of the…

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Q: Find the points on the ellipse 3x2 + y2 = 3 that are farthest away from the point (1, 0). What I…

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Q: Find the area under the curve f (t) = 3 − x2 + 5x from x = −2 to x = 4 .

A: Find the area under the curve f (t) = 3 − x2 + 5x from x = −2 to x = 4 .

Q: Find an equation for the plane that is tangent to the given surface at the given point. z= vy-x…

A: Here, the given surface is: z=y-x Now, ∂z∂x=12y-x(-1)=-12y-x∂z∂y=12y-x(1)=12y-x Now, at (0,4,2):…

Q: PROBLEM SET NO. 3 Using the techniques of integration, evaluate the following integrals by applying…

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Q: Let f(x) 2x + 9x? – 108x 5. Calculate the derivative f'(x) = Calculate the second derivative f''(x)…

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Q: Let f''(x) = 36 sin(6x) and suppose f'(0) 6 and f(0) = 4. Find f(5) a(;) =

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Q: Use the Direct Comparison Test to determine the convergence or divergence of the s 5n Σ 4n - 1 n = 1…

A: Given query is to find series converges or diverges.

Q: x and y -2x Find the area of the region enclosed by y

A: Solution is given below:

Q: Which of the following is a proper substitution to solve the Bernoulli's equation 27'y- 22 y3 = 3y?…

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Q: A. Evaluate the following integrals: Sx² e**dx 1.

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Q: Which of the following trigonometric substitutions is the e 4x dx most appropriate to the integral f…

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Q: a. Find the critical points of f on the given interval. b. Determine the absolute extreme values of…

A: To find the critical points and absolute extreme values of the function and then graph the function.

Q: fosc 4 2. csc* xdx

A: I =∫ cosec4x dxI =∫ cosec2x cosec2x dxI =∫ (cot2x+1) cosec2x dxcot x = t-cosec2x dx = dtcosec2x dx =…

Q: The function A(x) = 0.001x -0.01x +0.02x +0.04 approximates the blood alcohol concentration in a…

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Q: Evaluate the integral using the Fundamental Theorem of Calculus, Part I. (Use symbolic notation and…

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Q: Use Theorem 9.11 to determine the convergence or divergence of the p-series. 1 1 1 + 3/ + + .... 4…

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Q: 14.A girl walks 2 km due east from a fixed point O to A, and then 3 km due south from A to B. Find…

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Q: Consider the model of Newton's law of cooling and warming given by: dT 40 -T T(0) = To. dt 4. The…

A: This question can be solved using the concept of solution of differential equation.

Q: Given the function of two variables f(x,v) = In(/x7+y7). The partial derivative with respect to x is…

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Q: .John can swim at 4km/h in still water. He wishes to swim across a river to a point directly…

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Q: f(1) = e6' sin(- 3 t)

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Q: Entertainment In a survey of 100 Enormous State University students, 22 enjoyed classical music, 20…

A: In a survey of 100 Enormous State University students, 22 enjoyed classical music, 20 enjoyed rock…

Q: Consider the following. u = x w = Vx y = xx Calculate the following. Simplify your answers. du dx dw…

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Q: A rancher wants to fence in an area of 2,000,000 square feet in a rectangular field and then divide…

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Q: a. Determine whether the Mean Value Theorem applies to the function f(x) = sin - 1 'x on the…

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Q: Find an equation equivalent to x²+ y² + 2z²+ 2z - 5 =0 in spherical coordinates.

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Q: Find x in the following logarithmic functions: a) log10 x = 2; b) log10 x = -3 ; c) log10 x = HIN

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Q: The vertical asymptote of the curve 9x3 х — 10 - is given by æ = ||

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Q: y 6 4 3 2 -4 4 5 -2 -1 -1- 12 3 Find the value of the indicated quantity if it exists. lim f(x) 1.…

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Q: Question 2 , I Consider the following Initial Value Problem -y - y' = 2x – 1, y(4) = 2. a) {…

A: Solving by eular method

Q: Find the curvature and the radius of curvature at the stated point. r(t) = 3 cos(t)i+ 4 sin(t)j+ tk;…

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Q: Evaluate the integral by making an appropriate change of variables. 2 sin(25x2 + 36y2) da, where R…

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Q: If the following series converges, compute its sum. Otherwise, enter oo if it diverges to infinity,…

A: Find your answer below

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your ansuwer to two decimal places when…

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Q: Determine whether Rolle's theorem applies to the function shown below on the given interval. If so,…

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Q: 17. Evaluate the given integral, Í x ln x dx: A. x² Inx Inx -+c 2 x? Inx В. + - + c 2 4 x² Inx + 플…

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Q: cos x dx

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Q: x = 7- 2t Which of the following lines is parallel to L: L : y = + t z = 4 + t x = 2+4t L{y= - 1+ 2t…

A: Here we will find the parallel line,

Q: Verify the identity by following the steps below. sin(x)cot(z) cos(x) 1) Write the left-hand side in…

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Q: sin 2n Determine whether the sequence defined by a, %3D 9n converges or diverges. If it converges,…

A: We have to find limit