Find z = f(x, y) and use the total differential to approximate the quantity. (1.96)2(8.98) 2² (9)

Q: Solve the given initial-value problem. y(x) = y" + 6y' - 7y = 11e2x, y(0) = 1, y'(0) = 1 2x -7.x 7e…

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Q: I wrote the same answer and still got it wrong, why did I get it wrong?

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Q: If z = -4xe³xy and x = √t, y = . Then, the value of dat t = 8 is equal to 3√2 (-1/2² + 2³/1) e + ² 4

A: This question can be solved using the concept of derivatives.

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A: Using sum-to-product identity,

Q: Find the radius of convergence, R, of the following series. Σn!(7x - 1) n = 1 R Find the interval,…

A: Here we have to find the radius and interval of convergence.

Q: ƒ (t) = (sin(t) — ¼ t³)³ - 3 9 g(y) = (2y — 5)-4 — 2² (2y – 5)-² -5 f(x) = (√x + x)¯°h(x) where h(x)…

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Q: Find Y'and y" Y = sin (x²) Y = 2x² cos (x²) 2 y" = ? 2

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Q: (b) pre every x + 2 if x≤2 2 F(x) = ) + x² = (x +7 if x>2 - CX pie where I on 5) Sketch the function…

A: The Solution is given below

Q: 3

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Q: What is the exact value of sin(-150°)? -|N 1 7개 6 아틀

A: Find out the exact value of the given trigonometric function.

Q: Find the total differential. w = e²y cos(7x) + z³ dw = (No Response)

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Q: Consider the following functions. f₁(x) = x, f₂(x) = x², f3(x) = 7x - 3x² g(x) = c₁f₁(x) + C₂²₂(x) +…

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Q: 1. f√√x²dx 2. Jdx 3. (2x + 3)² dx (4x²–5x+6) 4. S x² 3 5. f ( t + 1)²³ dt S dx

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Q: Find all the values of x such that the given series would converge. (x-8)" 8n n=1 The series is…

A: We will use ratio test.

Q: Use L'Hopital's to determine the limit. lim Oo O1 ○ -1 enx ~|-1 as x approaches co

A: This question can be solved using the concept of L' Hopital's Rule and derivatives.

Q: 1. Which of the following is the value of n so that a. 0 b. 1 tan tan"x cos³x dx = c. 2 d. 3 1 sin³x…

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Q: Hallar a de modo que h sea continua para todo ax²-x, x≤-1 ax - 5, x>-1 h(x) =m Envie sus comput X…

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Q: Find the general indefinite integral. (Use C for the constant of integration.)

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Q: 14. Σ(-1), Inn n! n=1

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Q: Calculate the sum of the series Σ n = 5-6(0.6)" 00 n = 1 n whose partial sums are given.

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Q: find the equation of the tangent to the curve y = x+2x^(1/3) through point (8,12)

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Q: Given the initial condition y(1) = 4, what is the particular solution of the equation y' = y (2x +…

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Q: (12) Find the derivative of the function Y = cos (a³ + x³)

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Q: 1-). 25 2-) 3+4i 3-1

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Q: Question 3 a) b) [ Find the limit, if it exists, or show that the limit does not exist. lim…

A: a)limx,y→0,07x2+2y2yb)limx,y→0,049x2-98xy+49y27x-7y

Q: Write an equation for the function graphed below -7 -6 y = -5 -4 -3 Get help: Video 5 4 3 2 1 -2 -3…

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Q: d 1 (a) / (₁2²+ = + 2²/² +6² +5) X dx d ex (b) (x³ sin(z) +2+1) dx d (ln(tan-¹(x))) dx (c)

A: The given problems can be solved using chain rule of differentiation.

Q: p = 3 csc()csc (0)

A: find an equation in rectangular coordinates for the EQUATION GIVEN IN SPHERICAL COORDINATES  p=…

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Q: (g) Determine the minimum or maximum value of the function. (h) Write the domain and range in…

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Q: given u = and v= find u*v

A: To find out the dot product u*v

Q: It is possible to rewrite the expression as xa A=-2/7 B=-5/7 xb x9 where q is a constant. Perform…

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Q: In a classic video game, balloons travel from left to right along a linear path that passes through…

A: Given equation is :   x-12+y2= 100 ---- equation of circley=3x+7 --------equation of line

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Q: Integrate using the method of trigonometric substitution. Express the final answer in terms of the…

A: In this question we have to Integrate using the method of trigonometric substitution.

Q: Question 1 [3 a) { exact: 1: Verify that the differential equation is (cos(x)+2x + y)dx+(−…

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Q: Σ(−1)n n² + 2n + 3 5η3 + n + 1 n=1 11.

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Q: 1.) Sand hole conical pile altitude always 1 4 of increasing when the 14 pouring from a the conical…

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Q: Find both first partial derivatives. xy x² + y² f(x, y): fx(x, y) = (No Response) fy(x, y) (No…

A: Here we have to find the partial derivative.

Q: Solve, finding all solutions in [0,2x) or [0°,360°). 2 sin‘x+ sinx=0 2

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Q: Problem 3. [10 pts] A rectangular box with a square base is being built. The height of the box plus…

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Q: Describe the level curves of the function. z = x² + 3y² The level curves are circles. The level…

A: Given that, the function is z=c=x2+3y2 and c=0,5,7,9,11,13. For c=0 the function c=x2+3y2 becomes…

Q: Find the volume when the following region is rotated about the y-axis: y = √4x², y = 0, x = 0.

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Q: find an equation in rectangular coordinates for the equation given in cylindrical coordinates r= 2z

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: The area of an ellipse with axes of length 2a and 2b is given by A = Tab. Approximate the percent…

A: Concept: We have given the Area A=πab Here the length a is increasing by 2% which is daa=2% Here the…

Q: Find and simplify the function values. f(x, y, z)=√x+y+z

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