Q4 Integrate the following: (a) 4ln|x³| + C x3 dx (b)+C 4 (c)++C (d)+C

Q: Solve the following homogeneous differential equation: 2y4+ x1 Kya =

A:

Q: 29. p = 200 - x 2x

A: Given question  29. p = 200 - x2x

Q: S4.2 Derivative of a Parametric Equaton Determine the slope of the tangent line, then find the…

A:

Q: 8A 1 n + 8

A:

Q: dy For the following composite function, find an inner function u = g(x) and an outer function y = f…

A: Given: y=4+3x We are required to find: An inner function u=g(x) and an outer function y=f(u) such…

Q: A rental car company charges $45 plus 45 cents per each mile driven. Part1. Which of the following…

A:

Q: A plate extending from depth y = 5 m to y = 7 m is submerged in a fluid of density p = 850 kg/m³.…

A:

Q: Evaluate lim f(x) and lim f(x) for the rational function. Then give the horizontal asymptote of f…

A: f(x)=28x6-84x6-5x5

Q: Evaluate the double integral (2² + 4y) dA, where D is bounded by y = x, y = x³, and x ≥ 0. Answer:

A:

Q: Find the area of the surface generated by revolving the curve about the given axis. x = 5 cos(8), y…

A:

Q: " (b) Determine dx in terms of de. (c) Draw and label a triangle with acute angle 0. (d) Apply your…

A:

Q: A cell phone carrier charges a fixed monthly fee plus a constant rate for each minute used. Part 1.…

A: A cell phone charges a fixed monthly fee plus a constant rate  for each minute used. Part (1): In…

Q: Determine whether the series is convergent or divergent by expressing s as a telescoping sum. If it…

A: To find the series is convergent or divergent if convergent  then find the sum of series.

Q: Solve the initial value problem. xy'+y = x² + 4, y(1) = 5

A:

Q: Let C be the positively oriented closed plane curve consisting of the line segment from (-3,0) to…

A:

Q: Given the function graphed below, evaluate the definite integrals. ¨¨` 3 2 1 -1 -2 -3 √ ² = Lª…

A:

Q: Let f(x) = (x + 1)e²x. 1. Find the local linear approximation of f at xo = 0. 2. Use your answer…

A:

Q: Find the value of q such that (3 + 4i) (1 + 2i) (1 + 3i) q(1 + i).

A: We have to find the value of q. First we will simplify the terms on right side then rationalize it…

Q: A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed…

A: Newtons of cooling  T( t ) = Ts + ( T0 - Ts )e-kt Where  T( t ) is the temperature at time t  Ts is…

Q: Suppose that a pencil holder is in the shape of a right circular cylinder, which is open at one of…

A:

Q: Consider the vector field F = (2xy³ − y sin x)i + (3x²y² + cos x)j (a) Determine whether F is…

A: F = (2xy3 - y sin x)i + (3x2y2 + cos x)j

Q: Using the definition, find the derivative of f(x) 35x X

A: f(x)=1x3-x

Q: I+tu ug LU Σ 18

A: By using the integral test to determine whether the following series converges. ∑n=1∞ 5nn2+1

Q: Given the demand function D(p) = √250 – 3p, - Find the Elasticity of Demand at a price of $16 At…

A:

Q: x-axis. x = find the area of the surface obtained by rotating the curve about the 1 (y² + 2)³/², 1 ≤…

A:

Q: Use the divergence theorem to calculate the surface integral "// F = |r|r, where r = xi + yj + zk, S…

A:

Q: You are given two sets such that a set is not a subset of other. If you have to prove this,how do…

A:

Q: Rewrite the equation in exponential form. In (a) = n Include a multiplication sign between symbols.…

A:

Q: Use the Remainder Theorem and synthetic division to find the function value. Verify your answer…

A: We will find the value of the function at x=-10 using remainder theorem as following.

Q: particle at time t = 7. (Use symbolic notation and fractions where needed.) ° ( 17 ) =

A:

Q: For the curve y = 3x - 3 find the parametrization c(t) satisfying the conditions c(3) = (7, 18) (Use…

A:

Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs of y = 15 - x, y…

A: To find the volume of the solid obtained by rotating the region enclosed by the  graphs of y=15-x,…

Q: 1. Trace the curve: y = x³ + 3x² - 10x - 24 x²-4x+4 2. Trace the curve: y = x²+x-2 3. Trace the…

A:

Q: f(a+h)-f(a) h a. Use the definition mtan = lim h→0 b. Determine an equation of the tangent line at…

A: The slope of tangent line to the graph of f at P is given as mtan = limh→0f( a + h ) - f( a )hf( x )…

Q: Use the functions given by f(x) = x + 4 O-43√x +4 O-43√x-4 ○ 43√x-4 43√x + 4 1 64 -x 4 and g(x) = x³…

A:

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A: The acceleration of a particle is a→t=<5t, 3 sint, cos3t>. The initial conditions, v→0=<0,…

Q: A population numbers 15,000 organisms initially and decreases by 5.6% each year. Suppose P…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) Je cos(70) de

A:

Q: The graph below shows a transformation of y = 2* 2 Write an equation for the graph above.

A:

Q: Calculate the area of the surface generated by rotating the parametric curve c(t) = (t², 3t) about…

A:

Q: A projectile fired from a gun follows the trajectory x(t) = 9t, y(t) = 3t – 16t². Find the angle…

A:

Q: M Ja The function graphed above is decreasing on the interval

A:

Q: The intensity levels I of two earthquakes measured on a seismograph can be compared by the formula…

A:

Q: (a) Given the graph of f(x) above, find the following limits. (b) lim x418 -6 -4 f(x) = lim f(x) xx…

A:

Q: Q.3// Solve the following second order differential equation: *+ 25x = 0

A: To solve the following second order differential equation. ẍ+25x=0

Q: Solve for x by converting the logarithmic equation to exponential form. log (x) = 5

A:

Q: $ 4 -1 -2 -5 S 4 5 The graph above shows the base of an object. Compute the exact value of the…

A: From the given figure

Q: r² Find the volume of the solid obtained by rotating the region under the graph of the function f(x)…

A:

Q: Use the Curl Theorem to find the surface integral over the positively oriented upper hemisphere S:…

A:

Q: Ex. (1): the paralel Sum and difference of the given complex numbers. 1. 2. 3. U = 2+3: U = 4+7i…

A: To add complex numbers in rectangular form, add the real components and add the imaginary…