√2x+6 2. Y = √√√3x² +10x +3

Q: (A): solve the following linear equations by Cramer's rule: x + y + 2z = 1 2x-y-z = 0 x +2y-z = 4

A: Calculation of determinant is the key requirement of this problem.

Q: given u = and v= find u*v

A: To find out the dot product u*v

Q: Solve the initial value problem y" — 2y' — 15y = 0, y(0) = a, y'(0) = −9. Find a so that the…

A: Given: y''-2y'-15y=0, y(0)=α, y'(0)=-9

Q: Determine whether the limit exists. If it exists, find its value. lim x → 1+ f(x) 5 4 3 2 -1 Does…

A: Given, graph we need to calculate the value of limx→1+f(x) Here we need to calculate the value for…

Q: Q5: Find d for the following functions: dx (1) In(x - y) = xy + y³ ; (2) y = tan³ √cot(7x) ;

A: We can solve the answers as below by finding the derivatives.

Q: • 5x²+1 (t²-t) dx F(x) =

A:

Q: Evaluate the integral by applying the following theorems and the power rule appropriately. Suppose…

A: To find out the integration.

Q: P(x)=92x-x^2-1760 find limx->40 P(

A: Apply the limits and find the value

Q: (A): Solve the following linear equations by Cramer's rule: x + y + 2z = 1 2x-y-z = 0 x +2y-z = 4

A:

Q: Find the average value of f(x) = -x+1 x3 Submit an exact answer using fractions and/or roots if…

A: The given function is;  f(x)=(-x+1)/x3 over the interval [-3,-1].

Q: (C): If w = tan x and x = 4²³ +t: Find?

A:

Q: Solve the given initial-value problem. y(x) = y" + 6y' 7y= 11e²x, y(0) = 1, y'(0) = 1 11e2x -7.x 7e…

A:

Q: y(0) = -1 0 = (0),

A:

Q: (e) Evaluate S 1+7x dx.

A:

Q: Find the general solution to: dy X xẩy = xảy x²y d y = o y = Cet² ° y = Cezx² ○ y = ex² ez x² + C…

A: We need to find out the general solution of the differential equation.

Q: Answer the following questions for the function f(x)=x√x²+1

A:

Q: 15. Show that the equation, 2³ + e* = 0 has exactly one real root.

A:

Q: (g) Determine the minimum or maximum value of the function. (h) Write the domain and range in…

A:

Q: Q5/ find the Fourier expression of f(x). f(x)=x+x² for _π< x <π -

A: I have done solution step by step in detail....go through the solution

Q: a) Find the area of the triangle determined by the given point P₁(1, 2, 4), P2(1,-1, 3), P(-1,-1,2)

A: As per Bartleby guideline, only the first question has been answered. Please repost mentioning the…

Q: The marginal cost for printing a paperback book at a small publishing company is c(p) = $0.012 per…

A: Given data÷ Marginal cost  cp=$0.012 per page  Where p=number of pages

Q: 04: Answer two only: (A): I A-2 1 -1 1-2 Find AB and AC.. -- 3 1 1 and 1 3 1 CO

A: Given :A=420210-2-11, B2312-2-2-121, C=31-3026-121

Q: If f′(−6)=7, and g(x)=−3f(x), what is g′(−6)? Do not include "g′(−6)=" in your answer. For example,…

A:

Q: Q5: Find dy dx (1) In(x - y) = xy + y³; for the following functions: (2) y = tan³√/cot(7x);

A:

Q: A rectangular pen will be built along the side of a large barn. Three sides will be made of fencing,…

A: A rectangular pen will be built along the side of a large barn. Three sides will be made of fencing,…

Q: ind the standard equation of the sphere  with diameter and end points below (6,-1,-2), (4,11,12)

A:

Q: Solve the initial value problem 25y" - 40y' + 16y = 0, y(0) = 2, y'(0) = 3. y(t) = = How does the…

A: We have to find the solution of given initial value problem.

Q: f" s [0, π]. Also, find the smallest value of x at which the average value occurs. Given that sin…

A:

Q: Find all the values of x such that the given series would converge. (x-8)" 8n n=1 The series is…

A: We will use ratio test.

Q: find the unit vector in the direction of u u=

A: find the unit vector in the direction of u u=&lt;-4,-1,-3&gt;

Q: Solve the following linear systems of differential equations.

A: As per as our guidelines i am supposed to answer only three part of this question Please repost…

Q: Find the order 3 Taylor polynomial T3(x) of the given function given. Use exact values. 6 f(x) = (5x…

A:

Q: Q3: Evaluate the following integrate: (chose three only) 1. dx 1+x4 2. ex-edx ex+e-x 3. fxsec² x dx…

A:

Q: 5. Integrate the function below, if the answer is expressed as (a/b)*pi + 2*In(c), find the value of…

A:

Q: Find dy ду é^sinx in sx

A:

Q: 1. Solve the differential equation dy dx + 2 Y sin r 22

A:

Q: Consider the following. x = et, y=e-2t (a) Eliminate the parameter to find a Cartesian equation of…

A: Given  x=et  ,  y=e-2t   Then we can find out cartesian curve by eliminating parameter 't' .

Q: Find the Taylor or McLaurin series for the following functions X f(x) = 1 + x², a=0

A:

Q: 10. After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: Sol:- To find the maximum concentration:-

Q: 2/4 + ²/81 + ²/1/729 t. Ⓒ274

A: 2.Solution:29+281+2729+.......29+292+293+.......this series is geometric series.Common…

Q: Find the volume of the solid generated by revolving the region bounded by the curves y = sin x + 1…

A:

Q: (2) Use a known Maclaurin series to obtain the Maclaurin series for f(x) = sin²x. (Hint: Use sin²…

A:

Q: Find the indefinite integral using any method. (Use C for the constant of integration.) I'v 1 +…

A:

Q: Use the disk method to find the volume of the solid of revolution generated by rotating the region…

A:

Q: Evaluate the integral and check your answer by differentiating. x8 + 8x5 x7 1 dx +C

A: Firstly expand the fraction of given Integral and then integrate

Q: What is the equation of the curve that passes through the point (1, 3) and has a slope of 2 x+3 O 9…

A: Here we have to write the equation of the curve that passes through the point (1,3) and has a slope…

Q: Answer the following questions for the function defined on the interval [-5,7). a.) f(x) is concave…

A: Use derivative concept

Q: Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and…

A:

Q: 20. The graph of the first derivative f' of a function f is continuous on (-∞, ∞). -2 -1 f'(x) 1 2 3…

A: According to Bartleby guidelines I can only answer the first three sub questions of the given…

Q: Q5: Find for the following functions: dx (1) In(x - y) = xy + y³;

A: We have to find the dydx of the given function.