M3.4 Integration by Partial Fraction Decomposition 6x-7 dx 7.J (2x+1)(4x²+1)

Q: Consider the planes x – 10y – 2z = 3 and 2x – y + z =-13. Find the following. 1. The cosine of the…

A:

Q: Find the indefinite integral. 5. 3 dt 12 +C

A: Formula: ∫(1/x) dx =lnx ∫xndx = xn+1/n+1

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

A:

Q: State the answer using combinations. c) The number of edges in the complete graph K21. d) How many 7…

A: We will answer only part c, d and e because you have mentioned to solve only these three.   Complete…

Q: x = -4 + t, y = 2t, z = 7 + t (a) (0, 8, 11) O Yes O No (b) (4, 5, 9) O Yes O No (c) (-6, -4, 5) O…

A:

Q: Use the binomial theorem to expand the binomial expression below and state the range of values of x…

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

Q: Air is being pumped into a spherical ballon at a rate of 4 cm3/min. Determine the rate at which the…

A:

Q: Find the dimensions of the rectangle of largest area that has its base on the x-axis and its other…

A: We need to find length and width.

Q: 1 Suppose that L is a location function of an object, given as L(t) = We will compute the 3t – 2…

A:

Q: Find the radius of convergence, R, of the series. Find the interval, 1, of convergence of the…

A:

Q: The points P1(3,0, 1), P2(3, – 6, – 3), P3(4, – 6, – 5) lie on the same line. - - True O False

A:

Q: Consider the function f(x, y) = 4x² – 8y² subject to the condition x + y = 25.

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A:

Q: When a factory operates from 6 AM to 6 PM, its total fuel consumption varies according to the…

A: Solution )  f(t) = 0.8t3 - 0.3t0.4 + 27  Differentiate with respect to t  f'(t) = 0.8 × 3 t3-1  -…

Q: The indicated function y,(x) is a solution of the given differential equation. Use reduction of…

A: Here, De can be written as: y''+14x2y=0⇒P(x)=0, y1=x12ln(x)

Q: Let F(x)= ^4sqrt(x) A. Find the linearization of F(x) at x=16 B. Use your answer in part (a) to…

A:

Q: 11) The Inverse of ()= *-1* a)(x) 3x-1 b)/(x) log2(x) d)f(x)= log3(Vx+1) e) non

A:

Q: Evaluate the following integral using trigonometric substitution. хах Vx2– x – 1 а.

A:

Q: Questio The population, in thousands, in a given city is modeled by the function P(t) = 100.2(1.04)…

A: This is a problem related to power function. Based on the general concept and formula we will solve…

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 6t, y = 8 -…

A:

Q: Solve the following differential equations using the method of undetermined coefficients. y" – 3y" +…

A: This is a problem related to second order differential equation. Solution will be conjunction of…

Q: Find an equation of the plane through (0, –9, –1) that is perpendicular to the line x – 2 = 3t, y +…

A:

Q: Part 2. Math column A to column B by finding the slope of tangent line at any given point and write…

A: Note :- These are multiple sub parts questions and according to our company guideline we can do…

Q: ar +b. 2r' - 1, f(z) = I>3

A: The given function,fx=ax+b,x≤32x-1,x>3

Q: S sin x In(cosx) dx

A: To evaluate the integral: I=∫sin x(ln (cos x)) dx Substitute  cos x=t⇒-sin x dx=dt⇒sin x dx=-dt

Q: S sin x In(cos x) dx

A:

Q: provide the steps for f(x)= sin x2/ x.     integrate using power series

A: We have to find the integrate by using poer sereis

Q: 13 dt 9+6t 4 (9+6t)5

A:

Q: 4 sec*(x) rind tha ualı Find the value of ((x* - 5x² – 6x)“ 4x³ - 10x – 6 dx. (x4–5x²–6x)* - a) 4…

A:

Q: Find Duf at P. f(x, y) = sin(4x – 2y); P(2,4); u = i j - NOTE: Enter the exact answer. Duf :

A:

Q: Identify the open intervals where the function is changing as requested. Increasing 3 45 6 O (-3,…

A: Increasing

Q: If f (x,y) = In(x² + y²), then fx(x,y) + fyy(x, y) is: а. 0 x+y b. x2+y2 2х+2у с. x²+y2 d. Undefined

A:

Q: Use the graph of the function f to decide whether the value of the given quantity exists. (If an…

A: Given query is to find the Indicated value of the function.

Q: Explain why S is not a basis for M, O sis inearly dependent. O s does not span M.2 O sis linearly…

A: We can solve this as follows:

Q: EVALUATION Matching Type: Match the functions in Column A with their corresponding derivatives n…

A:

Q: Find the area bounded by these curves. (All choices are in sq. units) x = 2y? x = 4+ y?

A:

Q: A horizontal aluminum rod 4.9 cm in diameter projects 4.4 cm from a wall. A 970 kg object is…

A:

Q: Find the vector component of v = 2i – j + 3k along b = i + 4j + 8k and the vector component of v…

A:

Q: A cleaning service company found that the operating costs increase at a rate of 24x - 10x thousand…

A:

Q: y = Vx, x = 0 , y = 2 , revolved at y axis

A:

Q: 3. y = Arccos ( logx);y' = * O -1/x In(10)*sqrt ( 1 - (logx)^2) O 1/ x In(10)*sqrt (1 - (logx)^2) O…

A:

Q: y 20 y=g(x) 10 20 35 Evaluate each integral by interpreting it in terms of areas. 10 (a) g(x) dx 30…

A:

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ – y³, P(10,…

A:

Q: Find the vector component of v = 2i -j+ 3k along b = 3i + 6j + 6k and the vector component of v…

A:

Q: dy = 6 3y – x- dx

A:

Q: Find the exact length of the polar curve r = 2+2 cos 0 . Show All Your Work!

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A:

Q: Use Lagrange multipliers to find a vector in 3-space whose length is 4 V3 and whose components have…

A: Given:     Let v=x,y,z be a vector in R3 with length v=43 This is x2+y2+z2=43            x2+y2+z2=48…

Q: Perpendicular to the plane z + 3y – x = 7 and containing the points (2, 5, 0) and (0, 2, -1)

A: Solution of question is written in below steps.

Q: In(5x2 + 8) Find the slope of f (x) at (7, 1.84). Use a graphing utility and round to the nearest…

A: