Find the DE: y' tanx sin2y = sin2x + cos2y

Q: 11) Prove cos*x -sinfx = cos 2x

A: Topic - trigonometric identities We are given cos4x-sin4x=cos2xwe know…

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Q: . If w In(4xy) - cos(2yz - 3), x = log(t), y = 4et² and z = sin(ț³ – 1). Find dw dt

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Q: Find a power series representation for fx arctan(x)dx. You can use the sigma notation or the 1…

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Q: Which of the following functions cannot use the Second Derivative Test to determine if x = 3 is the…

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Q: f(x) = -5x x+4

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Q: What are the first three terms in the Taylor expansion for cos(x) Provide your answer below: a = π

A: In this question, we want to find the Taylor series expansion of the given function at a given…

Q: ate the integral. 16 9 sec ²x dx sec ²x dx = [ an exact answer.)

A: Topic:- application of integration

Q: Which of the following is equivalent to tan sin cot for all values of for which tan sin cot is…

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Q: Can you show me how to solve this?

A: Application of derivatives

Q: First find f + g, f- g, fg and f(x) = 6x +3, g(x)=x-2 (f+g)(x) = (Simplify your answer.) (f-g)(x) =…

A: Given query is to perform Indicated function operation.

Q: the surface f(x, y, z) = tan (xyz), find: (1) the gradient of fat (1.1.2); (2) the directional…

A: We find the gradient and directional derivatives .

Q: Use an appropriate test, and clearly indicate which test you are using, in order to determine…

A: For (a), The nth term is 1n8+5n. And notice that 1n8+5n≈1n8. Now,                  limn→∞…

Q: At 10:17 a.m., you pass a police car at 55mph that is stopped on the freeway. You pass a second…

A: At 10:17 am, you are traveling at 55 mph when you pass a police car that is stopped on the freeway.…

Q: Question 6 and B Consider the function f(x) 7x + 7x-1. For this function there are four important…

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Q: If y = (cos (2³) + 3)4, then equals dy dt a) 4 (cos (2³) + 3) ³ (x²) b) 4 (cos(x³) + 3)³ (-sin(x³))…

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Q: OI only III only I and III I and II Let a curve be defined as siny = x + y. Determine which of the…

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Q: 11 10 9 8 7 6 16 A 3 -3 -2 -1 3 For the above function f(x) = 51.25", estimate f'(x) using h= 0.001…

A: For the above function fx=5·1.25x, to estimate f'x by using h=0.001 for the following three…

Q: If ƒ(x) = (x6 + 4x²)³, then f(x) equals dx

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Q: 10. Rewrite the following polar equation in cartesian equation. T= 1+ sin 0

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Q: If f(x,y)=x³y +7xky2, find fx(1, -2) where k = 3

A: Given query is to find indicated partial derivative.

Q: Find the right Riemann sum of f(x)=x²-1 on [2, 4] n = 4 Provide your answer below:.

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Q: Consider the following function: Step 1 of 2: Find af dx f(x, y) = -5x - 19y + 9

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Q: C. d. Σ(Ve+√3)2n n=1 n=1 n 2n +7

A: see below the answer and explanation

Q: For the function f(x) f(x + h) = f(x +h)-f(x) h = 3x² + 4x8, evaluate and fully simplify each of the…

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Q: 2 attempts left Check my work Round intermediate calculations and final answer to four decimal…

A: To find the point of parabola.

Q: 4. In biology the predator-prey model is used to predict the number of prey animals, R, at a…

A: Part (a) The graph of this relationship would be given as

Q: QUESTION 25 Differentiate with respect to x: f(x) = ln(x) cosh (x) O 1 coshx O f'(x) = = coshx f'(x)…

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Q: SC 3x (x+2) ³) dx

A: ∫xndx=xn+1n+1+cA=∫(3x(x+2)3)dx

Q: 4) y = sin(0-2) - 3 3r 2 一 J 2 31 2 1 =1 π 2 2 B EN 3 2

A: We have to graph the given function.

Q: Introduction to Calculus in Economics (continued): In the previous Problem Set question, we started…

A: Tt

Q: ). Rewrite the following polar equation in cartesian equation. T = 1 1+ sin 0

A: The solution is given in step 2.

Q: Textbook Videos [+] Consider the function f(x) = interval. Question Help: Video 1 on the interval…

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Q: Suppose the size of a cell culture at time t is given by the function 2t f(t) = (ex² + √t) ² The…

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Q: Let R be the region bound by the curve f(x) = (x + 1)² the x-axis, and lines x = 0 and x = 2 Find…

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Q: If y = (cos(x³) + 5) 4, then equals dy dt a) 4(cos(x³) + 5) ³ (x³) 3 b) 4(cos(x³) + 5)³ (— sin(x³))…

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Q: 79.45 m B. 110 m Simplify (3+5)(-2+17) and convert it into polar form. 13.04(cos4.64+sin4.64i)…

A: Given query is to simplify and convert in to polar form.

Q: To approximate a) [1, 5], [5, 9], [9, 13] using a Riemann sum with a partition of 3 subintervals,…

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Q: 7) Find a polynomial with real coefficients of degree 4 that -1, 7 and 4i as roots.

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Q: Find the value of the integral [x tan²¹ x dx 0 ○ㅠ-2 ㅇ ㅠ 4 블 ㅠ - 1 2 ㅠ-1 4 ○ㅠ-1 T-2 2 ㅠ 2 ㅠ-2 4

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Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

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Q: 5) Solve 3 x-6 x+2 5 IV and give your answer in interval notation.

A: To solve the following inequality.3x-6≥5x+2

Q: Find the area bounded by y=xsinx and the x-axis from x=0 to X=πT.

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Q: 9 h(q) 2.8 2.9 3 947 1180 1470 h' (3) ~ 3.1 1832 Estimate h' (3) using the table above. 3.2 2283

A: Use three points (2.9,1180), (3,1470), (3.1,1832)

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where…

A: W solve the integral.

Q: QUESTION 16 Find the distance traveled by a particle whose velocity is v(t) = 6sin (31) for 0≤1≤ RIN

A: 16) Here we need to find the distance traveled by the particle.   Given velocity v(t)=6sin(3t) and…

Q: 17 a. Σκ k = 1 7 b. Σ (2k + 2) k = 1 - C. 7 Σκ k = 1

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: D Given: AABC is isosceles. Prove: AD CD is the bisector of the vertex angle. BD Statements AABC is…

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Q: Evaluate the indefinite integral. x³ + 12 x² + 3x + 2 dx = +C.

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Q: 8. Find the slope of f(x) = ln(4x) at (7,3.33). Use a graphing utility and round to the nearest…

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