f(t) = In Itsinx 1-sin x g(x) = x sin ¹3x + √1-9x² G(x) = x In (9 + x²) + 6 tan-¹ (-)-2x

Q: a. (x-²)(x + xy) = 4 b. √√√xy=x-2y at (4,1) c. cos(x² + y²) = y²sinx² d. y² = ln(x² + y²)

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Q: Select all that apply. Solve this equation; domain 0° ≤ ≤ 360°; answer to the nearest whole degree.…

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Q: Consider the following integral. fx²√³+1 dx Identify the definite integral that will result after…

A: topic- indefinite integral

Q: Use logarithmic differentiation y = (x) ²

A: Topic = Derivative

Q: 1. (4D-23D³-33D²-17D- 2. 2. d^x dx +39³ x db db³ db² -27d²x 62

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Q: 1. Assuming that one of the sides of a rectangular field is along a river bank and no fencing is…

A: In this question, we want to know the dimensions of the rectangular field that will satisfy the…

Q: 3πt -? What is the value of Sin 4 2. What is the value of Tan 3

A: Given sin3π4            ⇒sin3π4=22=0.707

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A: Given: dydx=tanxsecx-9x2   As we know that; The Power Rule: ∫xndx=xn+1n+1+C And the common integral.…

Q: Q2: The population of a state is known to grow at a rate proportional to the number of people…

A: Given ,  The population of a certain state is known to grow at a rate proportional to the number of…

Q: [2 + m 3 1. Given A= 1 a. (AB)¹ - A 1 2 -1 -1 4 5+ ml and B = [-1-m 2 91 3 5+m 3 0+m 6 11 Find the…

A: According to Bartleby guidelines I can only answer the first question of the given three questions.

Q: wing using properties from the class notes (do not assume any particular vectors for u and v). Show…

A: We have to find out projection

Q: The points A(3, 0, 1), B(2, 0, 2) and C(3, 1, k) form a triang area Determine the value(s) of k for…

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Q: Consider the function Step 1 of 3: Find lim f(x). x--6- f(x) = x²2 + 12x + 22 19x + 100 if x < -6 if…

A: Given.

Q: h(x) h'(-6)= = f(x) g(x) based

A: Given;  h(x)=f(x)/g(x).

Q: 20. e ³.x (e²x + 1)² dx

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Q: Q/ find the vector whose length -5 and its direction (60°) with x axis

A: Here, the amplitude A=5, and the angle with x-axis is θ=60°.

Q: Q1. Construct the reduction evaluate Ssind in ndx and use it to Qala) Use the inverse function…

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Q: 10. 2 w² + 4w W 1 dw

A: Given problem:-

Q: farm bureau Determine the open intervals on which the function is increasing, decreasing, or…

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Q: udv = uv J to Explain why the substitutions below are inappropriate. Let u = e 1. Suppose we apply…

A: Here, to evaluate: ∫xexdx using integration by parts.

Q: 3. Evaluate 5 sin rdr

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Q: A bus service carries 10 000 people daily between Ajax and Union Station. and the company has space…

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Q: R is the region bounded by the functions f(x) = functions on the interval [7, 12]. Enter an exact…

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Q: Using double integral, the area of the region bounded by the lines y=x y=x/2 and y=2 equal :

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Q: A Ferris wheel has a radius of 12 m and rotates once every 16 seconds. Suppose a passenger boards…

A: We can use cosine equation to solve the question

Q: 3. Given f(x) = cot(x) sin(x) and g(x) = cos³(-x)(sec² (x)-1) sin² (x) a. Prove that f(x) = g(x).…

A: Given that,  fx=cotxsinx and gx=cos3-xsec2x-1sin2x

Q: It is easy to check that for any value of c, the function C y = x² + is a solution of the equation…

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Q: The Taylor series for f(x) = x³ at -2 is cn(x + 2)". n=0 Find the first few coefficients. Co= C1 =…

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Q: Evaluate the limits 3 01 O lim X-00 3x-2. X

A: To evaluate: limx→∞3x-2x

Q: Using Chain Rule method Find the derivative of: 5 2. F= x³ + x² + x + 1 1. F(x) = ln Cos(x²)

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Q: Q/Find the Taylor Polynomials of orders 0,192 and 3 generated by fat F(x) = Sinx 29=0

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Q: 3. dy dx + y = 2xy²e²

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Q: The linear approximation at x = 0 to sin(4x) is A + Bx where A is: and where B is:

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Q: 6. show that the complex Fourier series of the function; f.(.t.) = t ..。. st.s.1. is...:. i2nt e j…

A: Fourier series of function is given.

Q: d^x d³x db4 dx +3. -27d²x -62- -24x=0 db³ db² db

A: We are given linear differential equation of order 4. 2d4x/db4 +3d3x/db3 -27d2x/db2-62dx/db-24x=0…

Q: The graph below shows a function f(x). Determine whether each of the following integrals would be…

A: We want to know the area of the given graph is positive or negative on the given intervals.

Q: Question 9 of 9 A company currently owes $25,000 to a bank for a loan it took 3 years and 5 months…

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Q: EX: Expand fit) = +² o<t<2π in a Fourier Series expansion : Sel: 2L = 2πT 4 44 L=# -41 2tr 4T 2TT 21…

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Q: dx (4+x²)² √

A: Explained below

Q: find ℒ{f(t)}. (Write your answer as a function of s.) f(t) = (t + 1)3 ℒ{f(t)} =

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Q: Evaluate the integral i.) 2 S² S₂y ez dxdy हैं,

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Q: Problem Let y = f(x) denote the function defined as x² + x - 2, if x 2. -

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Q: 1 Sa dy secy tany S sin ²x cos²x dx 2. S

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Q: Consider the second order differential equation with initial conditions u" - 4.5u' - 5.5u = -4…

A: The given equation is u" - 4.5u' - 5.5u = - 4sin(3t)

Q: Evaluate the integral. (Use C for the constant of integration.) 5 [ 8x 8x √√x + c dx

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Q: Find the area that lies inside both curve: r = 1 – cos(θ) and r = 1 + cos(θ). Draw.

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Q: 7. dx ггтV)

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Q: Evaluate the difference quotient f(a+h)-f(a) for the function f(x) = x² + 4x - 5. h 2a +h+4 h+4 2a +…

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Q: -S² √√x" dx -2- ។ (X) 5 JX dx -2

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Q: Enclosed by x² + 4y² = 16

A: