If 1 x+y True False = 1+ y, then dy || 1

Q: (A) ftan (5x)dx dx √9-4x² (C) [sin 6x cos7x dx

A: According to new guidelines if a question contains more than 3 subparts we have to solve only 3…

Q: Find the indicated derivative. f'(-5) = If f(x) = x², find f'(-5). X

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Q: Use the formula for the binomial series: (1 + x) = 1 + mx + 1 + 2 =1 100 = o obtain the Maclaurin…

A: See the details solution in below

Q: Obtain the differential equation of the family of circles of fixed radius r with center on the…

A: We have to obtain the differential equation of the family of circles of fixed radius r with center…

Q: 5. S x³ + x²-5x + 15 dx (x2 + 5)(x² + 2x + 3)

A: Concept: Partial fractions: The fractions that had to decompose a rational equation are referred to…

Q: Evaluate f f (x) dx

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Q: Find the area between f(x)=x²-25 and the x-axis from. x = 0 to x = 6. ... The area is square units.…

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Q: Use the limit comparison test to determine whether the series converges 1 k=√125k² - 2k The series…

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Q: 1 Q2: Evaluate fo y² (x² + y²) dx dy

A: Given :∫01∫01-y2y2x2+y2dxdy

Q: -3 Given the matrices A 7,4 3 0 for the matrix X in the equation X (A - 2B) = C. X = B -6 7], and…

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Q: Find the equation of the line that satisfies the given conditions. (a) Write the equation in…

A: Here, given that x-intercept is (1,0) and slope is 3.

Q: Evaluate Hf [n²ty) dv G₁ kebrood if G is the solid bounded by an ounded by 2013 the parabolic…

A: Integrate with respect to  z ,y and x and put limits respectively .

Q: -2 xs-1 @ Consider the function f(x)=x² -1<x<1 Ⓡ 2x-1 x21 Ⓒ a. Sketch f(x). b. Evaluate f(x) for x =…

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Q: 3. Given the signalsy₁ [n] = [-1 3 1 2 1] and y₂[n] = [−2 - 1 3 Evaluate the output for a. _Y₂[n] +…

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Q: Question: 4 Find the value of "k" such that the function f(x)=x² + kx-6 satisfies the hypothesis of…

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Q: 5.) Using the tables, evaluate h'(2) for h(x) = - A.) 33√2 C) 33√2 33√2 512 8 33√2 D.) 3√2 f(x) g(x)

A: Given h(x)=f(x)g(x)

Q: Which of the following is a relative maximum of f? 1/5 5/6 A. (²2) ¹ c. - (²²) ³ √3 B. 0 D. 2 Which…

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Q: a) Using all the letters of the word SUCCULENT, determine how many distinguishable arrangements…

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Q: Solve the initial value problem by using the Laplace transform. y"-9y=3e¹; y(0)=0, y'(0)=1

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Q: Find a vector equation of a line passing through the point (-1, -2, 4) and perpendicular to both a =…

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Q: Q2: Find the double integration ff, (4x + 2)dydx D = { (x,y):0<xs2,xsys2x}

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Q: Find the value of the Sum Σxi' if x₁ = 8₁ x₂ = −3₁ X3 = 4₁x₁4 = - 1=1

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Q: If y = (1+x)8 (x + 1)7 True False then dy dr

A: We can solve this as follows:

Q: III.² f(x, y, z) dV as an iterated integral in six different ways, where E is the solid bounded by…

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Q: -∞. Find (A) the leading term of the polynomial, (B) the limit as x approaches ∞o, and (C) the limit…

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Q: Find the area between f(x)=x²-7 and the x-axis from x = 0 and x = 6. ...

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Q: = 4 ln(x¹ - y) at the point (3,80,0), and use it to Find the linear approximation to the equation…

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Q: Find the limits in a) through c) below for the function f(x) = 2 X-X-42 Use X-7 a) Select the…

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Q: A stone is dropped off a 784-8 cliff. The height of the stone above the ground is given by the…

A: Using the fact that when stone hit the ground h=0

Q: Find the limit: lim (z,y) → (3,3) 4x4 - 4y4 x² - y²

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Q: For the regions A and B shown in the graph: Part A: Discuss the limits of integration. Part B: Set…

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Q: J1 (x²+8)3/20 Find the length of the curve x = y²-n, 1≤ y ≤e². The given curve is rotated 8

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Q: Evaluate 3 J (nay) dv 11. Gr kabriod if G. is the solid bounded by the parabolic cylinder 2=7³3 J my…

A: We need to find volume.

Q: The equation (x-y)dx + ydy = 0 is homogeneous

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Q: 43. f(x)=x³-9x² +15x+4

A: Given problem:- Sketch the function and Ensure you are finding everything you can about the function…

Q: 4. i) Determine the values of a and b for fx) - -2x³ + ax + bx + 6 so that f'(-2) - 0 and f'(7) - 0.…

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Q: Evaluate the integral. (Use C for the constant of integration.) The integral of 3ln(x)/(x…

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Q: A depositor currently has $6000 and plans to invest it in an account that accrues interest…

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Q: 2. Eliminate the arbitrary constants by elimination and combination y = C₁еx + C₂e²x + С₂e-³x

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Q: fsecxdx = In Isecxt tanx | te

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Q: Find the general solution of the given differential equation. xdy + (3x + 1)y = e-3x dx y = Give the…

A: Given problem :-

Q: f(x,y)= exsin (y), fx(x,y)

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say…

A: We have to check series is convergence or divergence by ratio test

Q: (0)3-3x+2 sinh' (In x) cosh (In x) (E) sin(2x)dx dx N

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Q: Q1: Find dy/dx for the following functions (solve four only):- (1)5% + 5y = In sin-¹ ex (4) y =…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: 9-x² - y² SS. 0 9-x² 0 √√x² + y² dz dy dx 2

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Q: The population of a city doubles in 50 years. How many years will it be four times as much? Assume…

A: In this question, we want to know that in how many years the population will be four times using the…

Q: Determine the equation of the tangent to y 23.03x+y+13.03=0 23.03x-y-13.03=0 O-23.03x+y+13.03-0 None…

A: Solution ) y = 10x Differentiation with respect to x  dy/dx = (ln10) 10x [ Formula d/dx ax = ln a…

Q: Use Lagrange multipliers z = f(x, y) = x² - xy + y² to find the absolute maximum and minimum values…

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Q: y = x³ + 1 (x (x² 2 3 x + 3 -1 - 2x + 1)

A: The given function,      y=x3+1x3+3x2-2x-1+1