Differentiate the function. p(t) = In Vt2 + 8

Q: An object is moving along a path defined by the graph   x2+y2=2   Compute dy/dy, if dx/dt=2,x=−1,…

A: Differentiation application

Q: an-(2x)dx (Use 2 decimal digit) Let x = 0.37 and y = 1.03. Determine the value of C when you…

A: We will find c.

Q: get a The curve above is the graph of a degree 3 polynomial. It goes through the point (5, –6.3).…

A: Solve the following

Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = X-in(x) given the…

A: We can solve this as follows:

Q: 10x Find a power series for f(x) = |x| an. (x² + 1)² n=1 Hint: First, find the power series for…

A: To find the power s

Q: 3. Find the first 4 terms of the Maclaurin series expansion for each of the functions below. sin 2r…

A: We have to find the maclaurian series expansion.

Q: xsin-1(x) If x =0.23 and y = 0.81, then value of C in the antiderivative of F(x) = is V1- x2 Add…

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Q: Let P(x) = 7x² + 6. Estimate the slope of the tangent line of this function at the point x = 3.…

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Q: A ladder 13 meters long rests on horizontal ground and leans against a vertical wall. The foot of…

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Q: n Sn = En-0 8 (-) 4.

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Q: The integral expression J xcos²(2x)dx can be evaluated using integration by parts of the form Judv=…

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Q: sin“ (x)dx 4

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) h(x) =…

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Q: A parabola with a negative latus rectum has endpoints at (5, 1) and (5, -11) Where is the vertex? *

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Q: Find the slope of the tangent line to the graph at the given point. (x² + 4)y = 8, (-2, 1) Witch of…

A: Please see the answer below.

Q: 2.Evaluate the total derivative of u with respect to x for u = 6x²+4y² + 4z² when y = cosx and z =…

A: We have to find total derivative of u with respect to 'x'    where     u = 6 x2 + 4 y2 + 4 z2  Given…

Q: Let F(x) = f(x) + g(x)e* + h(x)e²× + C be the antiderivative of G(x) = (x + e*)*. Determine the…

A: The given function G(x)=x+ex2

Q: 1 dx, x > 2 x2 Vx2 – 4

A:

Q: Use the alternative form of the dot product to find u· v. ||u|| = 45, ||v || = 20, and the angle…

A: This is a problem related to vector calculation. Based on the general formula we will answer the…

Q: Consider the following. u = -6i – 2j – 4k, v = 2j + 2k %3D (a) Find the projection ofu onto v. (b)…

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Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos°(x) for x = 0.213 and y =…

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Q: y(x) = x³ (2x – x²)

A: Given: yx=x232x-x2   As we know that; The Power law; ddxxn=nxn-1 The Product rule: f·g'=f'·g+f·g'

Q: Determine the value of C in on the antiderivative of F(X) = sin (x)cos"(X) for x = 0.106 and y =…

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Q: If two forces of 5 lb. and 8 lb. acting at the same point are equivalent to a single force of 10 lb.…

A: from the resultant 102 = 52 + 82 + 2(8)(5)cosx 100 -25 -64 = 80cosx cosx = 11/80 cosx = 0.1375 x =…

Q: Y -2 -1 1 3 6

A: Given query is to find indicated limit.

Q: The integral expression J xcos (2x)dx can be evaluated using integration by partsS of the form…

A: This question is based on integral by parts integration.

Q: Differentiate the function. y = In(|5 + t - t31) y' = ||

A: Given query is to find the derivative of the expression.

Q: Identify the form of the partial fraction decomposition of the rational function -3x2+10 x²(x+-25)…

A: Given that-3x2+10x2 x4-25Solution:if cxx2-a2…

Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = x<In(x) given the…

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Q: Use a graphing utility to graph the function on the closed interval [a, b]. x) - Ixl - 3, (-7, 71 -2…

A: topic - Rolle's theorem

Q: Sx²cos(2x)cx Evaluate:

A: This is a problem of integration. Based on the multiplication rule of integration we will solve this…

Q: п Sn = Ef=o (;) 5. 100 4.

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Q: 1-х 3 c) y = xx

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Q: Find the angle 0 between the vectors in radians and in degrees. i + sin 3. in)j, v = cos()i + sin()…

A: Given problem:-

Q: The circumference of a sphere was measured to be 72 cm with a possible error of 0.5 cm. Use linear…

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Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 5t, y = 9 –…

A: Let's find.

Q: 3. For f(x) = rV9-x, find a). domain, b). f', the intervals on which f is increasing or decreasing;…

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Q: Differentiate the function In x f(x) = In 2x+3 %3D x>0

A: The given function is: f(x)=ln xln 2x+3,x&gt;0

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

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Q: 6. The coefficient of Sin(x) in the antiderivative of F(x)=| co is Blank 1 (use fraction form not…

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Q: A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole…

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Q: The coefficient of sin(x) in the antiderivative of F(x) = cos is Blank 1 (use fraction form not…

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Q: - F(x) = f(x) + g(x)e* + h(x)e2x + C be the antiderivative of G(x) = (= termine the value of f(x)+…

A: We will find the value of the function.

Q: Consider the parametric the curve defined by the equations x = t² – 2t + 2 and y = t² + t. (a) The…

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Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: Find a polar equation in the form r= f(θ) of the hyperbola with eccentricity e= 4 such that one of…

A: To find the polar equation.

Q: find dy/dx for each function

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Q: Given f - and 6 = - 4, 5 > , find 5ƒ + 66. 5f + 66 - <

A: Make a component wise addition and multiplication.

Q: 4x-6z+5 2+3cosz sin z 9. Find dz.

A: Here we have to integrate the given Integral.

Q: Consider the following planes. 3x + 4y - z = 56 x - 8y + 2z = 0 (a) Find the angle between the two…

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