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Q: dx √x² - 4x + 13 S

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Q: Use linear approximation, i.e. the tangent line, to approximate 1.97 as follows: Let f(x) = x7. Find…

A: Given, y=f(x)= x⁷ Slope of the tangent is given by , f'(x)=d(x⁷)/dx f'(x)= 7x⁶

Q: he vector, parametric, and scalar equations of the plane for each of g situations: 1961 301 il bari…

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Q: Q2: The equation of the tangent line to the graph of y=1² and 1=4x² at t=lis (not that x is…

A: Topic:- application of derivatives Notes:- as per our guideline if more than one question uploaded…

Q: (a) Write the parametric equations of the line obtained in example 1. (b) Provide the corresponding…

A: Explained below

Q: Question Given the function f(x) = 4x² + 6, find the value of c such that f(c) equals the average…

A: Given function is f(x) = 4x2 + 6

Q: Find the value of k for which the constant function (t) - =k is a solution of the differential…

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Q: R is the region bounded by the functions f(x) = 2e - 1 and g(x)=x²-2. Find the area of the region…

A: R be the region bounded by the curves f(x)=2ex-1 and g(x)=x2-2 on the interval -1,1

Q: 1. Find the interest paid on a loan of $2000 for 1 year at a simple interest rate of 7% per year…

A: "According to the guidelines issued by the company we are supposed to answer only one question.…

Q: Find the directional derivative of f(x,y)=sqrt(x²+y²) at P(4,- 3) in the direction of μ=[8,-15].

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

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Q: The function f(x) = 7 1+9x² f(x) = Σ cnan. n=0 Find the first few coefficients in the power corios…

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

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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: Use Euler's method with step size 0.4 to estimate y(2), where y(x) is the solution of the…

A: Here, the given function is: y'=3x+y2, f(x,y)=3x+y2, h=0.4, x0=0, y0=-1

Q: P/ by method of variation of Parameters -X find ゾーン Y-Y = e Sine

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Q: A door is swung open by applying a 60 N force as shown, 2.0 m from the hinges. 2.0 m 100° 60 N ←--…

A: We have to find the torque applied at the hinge of the door.

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: Locate and classify the critical points of y=x²-4x-1

A: The given equation is  y=x2-4x-1.

Q: Differentiate the function with respect to y. A Z = + Bey z' = уб 6

A: Differentiate the function with respect to y and with respect to t in second question

Q: Question If you were to use a substitution of u = sin(x) to evaluate the definite integral below,…

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Q: dx (4+x²)² √

A: Explained below

Q: What is the indefinite integral of this function?  f (z) = √z (4(z-1)2 + 1/z3)

A: What is the indefinite integral of this function?  f (z) = √z (4(z-1)2 + 1/z3)

Q: 8 kg/m, where x is measured in meters from one end of the rod. √x+1 The linear density p in a rod 3…

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Q: Let y 5x²8x + 4. If Ax = 0.1 at x = 1, use = differentials to estimate Ay Ay ~

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Q: The surface of the sun has dark areas known as sunspots that are cooler than the rest of the sun’s…

A: As per guidelines, we are going to solve only one problem. So please repost the other problems…

Q: 60. خدا x4 - 1 x5 − 5x + 1 dx

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

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Q: Q2: The equation of the tangent line to the graph of y=r2 and t=4x² at t=1 is (not that x is…

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Q: Homework Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule.…

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Q: (9-x) ₁/x = (x

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Q: 4. (a) (i) Calculate (4 + 6i)².

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Q: Z A Consider the tetrahedron ABCD with vertex A at the origin as shown: (a) Find the equation of the…

A: Given that: A=0, 0, 0; B=0, 0, 3; C=0, 4, 0; D=6, 0, 0 We have to find:  a) An equation of a line…

Q: C. d. = cos(√x + 3) dx [x³√x² +1dx

A: We have to solve given integration.

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: Q / Determine the value of b so that vectors 4 = 49-593 V=-2₂0₂-5 w = b5 1₂ 6 are in the same Plane

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Q: 9- Solve the question. Lim cos(2x)/x хэл

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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: Find the area of the surface generated when the given curve is revolved about the x-axis. 3 X 1 1 /=…

A: Given problem:- Find the area of the surface generated when the given curve is revolved about the…

Q: Q4: Let y = √t and a) 2 b) 3 c) 4 t = x² then y(") = 0ifn= d)5 e) others

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Q: 2. (yx + xycot x) dx + xdy = 0

A: Given problem:- Find the solution of the following differential equation.  (yx + xycot x) dx + xdy =…

Q: A fruit farmer finds that if she plants 50 trees per acre, each tree will yield 75 boxes of fruit…

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

Q: 9/Find Parametric equations for the Line that is tangent to the curve r(t) = eti + (Sint)j + In…

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Q: 5. (a) Find the particular solution of the differential equation x³ = 1-e²t if x(0) = 2.

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Q: 1 Determine the volume generated of the area bounded by y=√√x and y=-x rotated around y=3. 2 A 16/3…

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Q: A tire manufacturer estimates that the demand function for their radial tires will be given by P =…

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Q: A vector collinear to ū= is: a. d. 1,-2,-3> b. -1,2,3 > e. [K C.

A: Solution is here

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

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Q: - Find the volume of the region cut from cylindrical (x² + y² = 16) by the plane z 0 and the plane…

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Q: dy Consider the differential equation - 2r da (A) At the point (1, -1), the direction field has a…

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