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Q: 2 4/1 1 (3) Find d dt 1 + t2

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Q: hether the matrix is invertib

A: We have to consider the given matrix is invertible or not

Q: Find, or approximate to two decimal places, the described area. The area bounded by the functions…

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Q: Given the vectors →u=⟨−3,2⟩ and →v=⟨−6,11⟩, find the angle (in degrees) between them. Angle between…

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Q: Use the given transformation to evaluate the integral. J (15x+10y) dA, where R is the parallelogram…

A: INTRODUCTION: The two types of integrals are double and triple integrals, with double integral being…

Q: Evaluate the indefinite integral. √2³ √8 + zºda + C

A: The given integral is x5sqrt(8+x6).

Q: Use logarithmic differentiation to find dy/dx. y = x²/x X>0 dx ||

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Q: Inverse Laplace transform, 1 (s²+1)(s-3) x^₁ { = Select one: True O False Give your reasons cos(t)…

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Q: -1 Use Integration by Parts to find the indefinite integral cot ¹(a) de. -1 x cot ¹(x) + ln(x² + 1)…

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Q: Write a polynomial with degree 4 that has a zero at x = -1- i√2, and a zero at x = -6 with a…

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Q: O Use Sigma n function, ex

A: Find the Maclaurin series for the function f(x)=e^x

Q: Convert the equation r= -14 sin 0 to Cartesian coordinates. Describe the resulting curve. Choose the…

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Q: (a) Eliminate the parameter and write the rectangular equation (b) Sketch the curve represented by…

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Q: A graphing calculator is recommended. An oil refinery is located 1 km north of the north bank of a…

A: Let point PP be located 6 - x9−x km from the oil refinery (see diagram ).     Then the cost of…

Q: Which of the following can be evaluated using u-substitution with u = ln x? [H ln x O dx O None of…

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Q: 10) Determine the integrating factor of the differential equation (y tan(z)-e)dz + dy=0 a) ecos(x)…

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Q: Find an equation of the tangent plane to the given surface at the specified point. Z= In(x - 2y),…

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Q: Find the volume of the solid bounded below by the circular paraboloid 2 = x² + y2 and above by the…

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Q: Obtain the differential equation of the family of plane curves described and sketch several…

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Q: What is dy given that y = ln (4- x? 1 x-4 dx 4 O I da I 4 dx 4-x

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Q: The cost C'(x), where is the number of miles driven, of renting a car for a day is $48 plus $0.95…

A: Let's find linear function.

Q: 2) Consider the function: f(t) = 0, e-kt, 0 ≤ t < 1 1 ≤t. A) Use the definition to find F(s) =…

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Q: 4x² 16x – 9y² – 72y — 164 = 0

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Q: Supply the missing constant, k, so that the resulting trinomial is a perfect square. Then factor the…

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Q: Find a "cartesian" equation for the circle which is given by the polar equation r = 2 sin 0, and…

A: Given query is to find the Cartesian equation and the centre of the circle.

Q: Use double integral to find the area of the region bounded by the one leaf of the rose r = a cos 20.…

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Q: (-3,0) <++++ -10-9-8-7-6- -4-3-2-1 9 Provide your answer below: a 9 00 7 6+ 5+ 3+ 2- 1 -1 3₂ -3- in…

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Q: Find the equation of the hyperbola with vertices (−3, 6) and (−3, −2) and foci (−3, 8) and (−3, −4).…

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Q: The function f(x) f(x) = Σ n=0 = C1 = C2 Find the first few coefficients in the power series. CO C3…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Which of the following is NOT true about the exponential function y = a where a > 1? O Its range is…

A: The domain of exponential functions is all real numbers. The range is all real numbers greater than…

Q: At age 35, Beth earns her MBA and accepts a position as vice president of an asphalt company. Assume…

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Q: Suppose F(4) = 6, F(6) = − 4, and F'(x) = f(x). 6 L² (2x²4 + 4 (x² + 4ƒ(x) + 10) dx

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Q: If y = ln(lnx) then x = ety O Y eey ?

A: Given query is to find the value of x.

Q: Let f(x) 0 = c-8 Oc==3 Oc=2/20 Oc-4/ 11 2xc + 1 C + 3x 3 ▸ Determine the value of c so that x = 9 is…

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Q: Write 2₁ and 2₂ in polar form: ) 2₁ = √3 -2 2 ₂ = −1+√32 Find the product NI. i = √²-₁ i ²=-1 2; 2₂…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 6x F(x) = cos(t¹) dt. […

A: To use the fundamental theorem and find derivative

Q: If f(x) = tan 13m-cot¹3x, what is f'()? 0-3 01 3 0-1

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Q: For what values of h are the given vectors linearly dependent? 5 -20 -3 12 5 4 6 52 3 h Vectors are…

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Q: Find the matrix product AB, if it is defined. A = [56], B = [1 0-6 15 5 -18 12 OAB is undefined. °[…

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Q: How many units is the arc length of the curve y = point where x = 3? ³/2 from the point where x = 0…

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Q: Find the points at which the following polar curve has a horizontal or a vertical tangent line. r=2…

A: The given polar curve is r=2sin(2θ). The objectives are to calculate the points where the tangent…

Q: Consider the following function: f(x) = −x4 + 8x2 + 2   Enter the x-values of any local minima,…

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Q: Explain the relationship between a function and the derivative by providing an example.

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Q: Graph y² x² 25 49 = 1. Label the vertices and foci on the graph.

A: Hyperbola

Q: Suppose a linear function has a vertical intercept at y = -9 and a horizontal intercept at x = 15.…

A: Linear equation

Q: Let f(x, y) = x² - y³ + 12xy. List the critical points: The critical point at the origin is a Select…

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Q: 11 Rewrite sin (x+ 11) in terms of sin a and cos x. Simplify your answer. Enclose arguments of…

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Q: Question Find the Laplace transformation s²+2 S3 L {f(t)} if f(t)= (t + 1)² ? O None of them…

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Q: The graph of f',the derivative of the function f, is shown below. Which of the following is true? +…

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Q: Expand the following logarithmic expression and simplify: 06 + log (y) - log (x) + log (3) O+log (y)…

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