[in (w)² ]] 4 W dw

Q: 1. fx² In x dx = f x² dx f In x dx (In x − 1) + C Is the solution correct? If your answer is yes,…

A: We have to give reason and then solve the integration .

Q: Scos2x (2 cos2x-1) dx

A:

Q: dx Find given that dt 6x² + 7y² = 13 x = 1, y = -1, and Give your answer as a simple fraction. dx dt…

A: Let us consider an expression, ax+by=c , a,b,c are constants. Then by implicit differentiation on…

Q: Use a computer algebra system to graph f and to find f' and f". Use graphs of these derivatives to…

A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the…

Q: Let f(x) = 5 on [−3, 1]. x+5 Find all numbers c in [-3, 1] for which the derivative is equal to the…

A: We are given a function f(x) = 2/(x+5) on [-3, 1].   We have to find all the c in [-3, 1] such that…

Q: 3. In evaluating the integral S x² dx (x-1)²(x²+1) you will decompose x² dx (x-1)²(x²+1) into…

A:

Q: Describe the graph of the equation. r = (8-2) 1+ 14tj It is a line in 2-space through the point…

A:

Q: Verify the formula [F F.nds = = IC div F dV in the Divergence Theorem by evaluating the surface…

A:

Q: Question 9 In MN = In M + ln N Maybe False True None of these

A:

Q: differential

A:

Q: solve the differential equation in higher order differential equations complete solution PLEASE…

A:

Q: Question 20 Find the derivative of y = log₂ (x - 2)³ 1/(In2)(x-2) 3/(In2)(x-2) 2/(In3)(x-2)…

A:

Q: The approximate value of -31.8 using linear approximation, O (E) None of the choices O imaginary O…

A:

Q: Solve the differential equation * 49 - 13d +6y=0 d³y dx3 dy dx

A:

Q: Evaluate the line integral [39a²³yzds with respect to s along the 2 curve C: x = t, y t, y = t²,₁…

A:

Q: Itiple 1. Which of the following is the maximum value of the function f(x)=2 sin.xcos.x? a. 2 c. √3…

A:

Q: Quiz 2.2- Integration by Substitution Evaluate the following and post your answers in the g.…

A:

Q: The estimated monthly sales of Mona Lisa paint-by-number sets is given by the formula q = 98e-3p² +…

A:

Q: 1. Use a parametrization to express the area of the given surface as a double integral and then…

A: We have to find the surface area.

Q: Find the function f given that the slope of the tangent line to the graph of f at any point (x,…

A: Solution is done in step 2

Q: Find the equation for the tangent and normal lines for f(x) at the specified points. Show your…

A:

Q: State the coordinates of the intercepts, stationary points, and the inflection point of p(x) = 2x³ -…

A: Here we have to use the concept of derivatives

Q: Evaluate √ (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (3, -7)

A: Let's find.

Q: Use the given derivative to find all critical points of f, and at each critical point determine…

A:

Q: Step 4 Thus, (x x cos(8x) dx =

A: To solve the following problem

Q: Find the area bounded by the given curves. y = x2 − 1 and y = 8 − 8x2        square units

A: Given :

Q: Find the area of the region enclosed by the inner loop of the limaçon r = 13 + 26 cos 0. [Hint: r ≤…

A:

Q: dx x²+2x+5

A:

Q: 3. Find the area of the surface cut from the nose of the paraboloid x = 1-y²-z² by the yz-plane. Do…

A:

Q: Determine the volume of the solid obtained by rotating the region bounded by x=(y-2)^2, the x-axis…

A: Solution is given below:

Q: Use the given derivative to find all critical points of f, and at each critical point determine…

A:

Q: 10. Use the definition of limit to show that a. lim (x² + 4x) = 12, Z-2

A:

Q: A ball is thrown vertically upward from the ground with an initial velocity of 64 ft/sec. If the…

A:

Q: 17. Evaluate the line integral xezds, where C is the line segment from (0,0,0) to (1, 2, 3).

A:

Q: x² + 8x - 9 x1 x³2x25x + 6 t³7t² + 16t - 12 t44t³+ 4t² 4. lim 5. lim t-2

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: Given

Q: A model for the spread of a rumor is given by the equation p(t)= 1/1+ae^(-kt), where p(t) is the…

A: Given problem:- A model for the spread of a rumor is given by the equation p(t)= 1/(1+ae-kt)…

Q: 4. The Bernoulli's form of the differential equation x²dy + (2xy-y³)dx=0 is

A:

Q: 4.) Consider the function defined as Find the following limits. a.) lim f(x) b.) lim f(x) c.) lim…

A:

Q: Suppose that f is integrable on [-4, 7]. If the average value of f on the interval [-4,7] is 4.25,…

A: Given,             Suppose that f is integrable on -4,7. The average value of f on the interval…

Q: ex csex ex

A: Use integration by parts formula.

Q: sec7(t) tan(t) dt Evaluate indefinite anti-differen

A: We have to find the integral

Q: Find the interval of convergence for xn 5n 8 n=0

A: The given series,     ∑n=0∞xn5n

Q: Describe the graph of the equation. r = (8-2r)i + 14tj O It is a line in 2-space through the point…

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

Q: A. Find the first partial derivatives of the given functions. 1. z = x³ xy² + 3y² 2. Find nd of if…

A:

Q: 3.x√x² + 1dx

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

Q: The Bernoulli's form of the differential equation 2x³dy-− y(y² + 3x² ]dx = 0 is

A: As per our norms we have to write one question at a time kindly repost remaining questions.

Q: Sa cos 2X (2 cos 2X -1) dx

A: Given,            ∫cos2x2cos22x-1dx

Q: Find the area of the region bounded by the given curves. Decide whether integrate with respect to x…

A: Given curves: y=ex, y=xex We have to find the intersection points of both curves Therefore, ex=xex…

Q: [ sin³(2x) dx

A: