Solve the system by back substitution. - 2x - 4y -z -3w = - 5y - 30z - 10w = - 40 -4z -4w = -8 5w = 15 The solution set is {(O00D) (Type an integer or a simplified fraction.)

Q: 2x+ln x

A: We know that power rule of derivatives is  d(xn)/dx = nxn-1.     Here i attached the solution of…

Q: Evaluate. 20) X +9 -dx X +5

A:

Q: Find the area bounded by these curves. (All choices are in sq. units) y1 =+4 Y2 = r-2x

A: This question is related to application of definite integration, we will solve it using given…

Q: x + 6 x - 3x - 54 52. f(x) = %3D

A:

Q: Find the dimensions of a rectangle (in m) with area 216 m² whose perimeter is as small as possible.…

A:

Q: Check the continuity of the function at x : = 0 and x = 1

A: Given,           The piecewise function is given below :            fx=-2; -4≤x≤-1x-1; -1≤x≤0x2;…

Q: Type the correct answer in the box. Use numer. What value of x satisfies this equation? log,6r – 8)…

A:

Q: Find the slope of the line that is tangent to the 2x-3 graph of f (x) at P(3/2, 0)

A: Slope of the tangent to tthe curve y=f(x)  at point (a,b)  is given as m=f'(a)

Q: Use mathematical induction to prove the given statement for all positive integers n. 20+10+0+..…

A: We have to prove given statement with mathematical induction.

Q: Consider the equation x^3=1-2x, which has a unique root between x=0 and x=1. Apply Newton's method…

A:

Q: Solve the inequality and graph the solution on the real number line. x² <4 (-2, 2) + -4 -3 -2 -5 -1…

A: Simplify the inequality and choose the correct answer .

Q: Find* esin ¤ dx tan x csc x cos x e $in xt. - cos x e Sin x + c Option 4 Option 2 esinx + c ,sin.…

A:

Q: sec*(x) dx. Vtan(x) a) Vtan(x)[5 + sec²(x)] b) V sec(x)[5 + tan² (x)] c) V tan(x)[6 + tan? (x)] d)…

A:

Q: x20 is continuous at x-0, then a = a+sinx If the function f(x): 2+2acosx x<0 a. 1 b. -1 O c. 2 d. -2

A:

Q: 1. fx³e*/2dx /4 2. S*x sin 2x dx

A:

Q: For the function f(x) = -x^3 + 1.5x^2 - 4: a. Find the critical number of the function and…

A: We will use critical points for calculation

Q: Assume s is an angle with sin (s) = . t is an angle with cos (1) = and both angles are between 0 and…

A: We have to find the given trigonometric quantity.

Q: Find the demand function q = D(x), given the following elasticity conditions. E(x) = q= 235 when x=…

A:

Q: 3. Use a sign chart for f" to determine the intervals on which each function f is concave up or…

A: As per our guidelines we are supposed to answer only first three subparts of a question. Kindly…

Q: z equals 1 If 1, then וא

A:

Q: Find the particular solution of the differential equation as determined by the initial condition. dB…

A:

Q: What is the maximum vertical distance between the line y = x + 6 and the parabola y = x2 for -2 sxs…

A:

Q: Evaluate the definite integral. (Use symbolic notation and fractions where needed.) 12 dt 3t +4

A:

Q: Consider the following. u = -9i - 2j - 4k, v = 4j + 4k (a) Find the projection of u onto v. -3j – 3k…

A: The given vectors,u=-9i-2j-4k, v=4j+4k

Q: to find thę coordinates of the absolute extremum (absolu maximum and/or absolute minimum) for the…

A: f(x)=-3x4+12x+2f'(x)=-12x2+12f'(x)=0-12x2+12=012x2=12x2=1x=±1Critical points ;…

Q: Determine where the local maxima and minima occur on the graph given. 12 10- 6- -12 -10 -8 -6 10 12…

A: Given query is to find the location of local minimum and maximum.

Q: dy Differentiate implicitly to find dx 8x? + 9xy + 7y + 17y -8 = 0 dy %3D dx

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

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 gradient of the function at the given point. f(x, y) = 5x + 2y2 + 4, (4, 2) %3D Vf(4, 2) =

A: If f is a function of x and y then gradient of f is given by ∇f=∂f∂xi^+∂f∂yj^So, ∇fa,b is given by…

Q: x(x + 8)(x – 2) and f"(x) = (x + 3)³ x3 – 4x? 8(7x – 4) Given: f(x) = · with f'(x) = (x + 2)2 (x +…

A: Given: f(x)=x3-4x2(x+2)2f'(x)=x(x+8)(x-2)(x+2)3f''(x)=8(7x-4)(x+2)4

Q: Find the Taylor series for f(x) centered at the given value of a and the interval on which the…

A:

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

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

Q: Given: In(1+ x) (-1)" xn+1 _if |x| < 1 n + 1 n=0 (-1)"(n + 2) 2n+1(n + 1) Compute the exact value of…

A: Solving

Q: 7-x 17) dx

A:

Q: Complete the parametric equations for the line where the planes 8x + 13y – z = 27 and 9x + 15y – 12z…

A:

Q: Write the polynomial as the product of linear and quadratic factors that are irreducible over the…

A:

Q: 37 11 Let z < 1 < and sin (1) = -. Use a double-angle formula to find sin (21). 12 (Give an exact…

A: We have to find the given trigonometric quantity.

Q: .2 | f(a)dr 62 , what is 13 Given that f(u)du: answer = Question Help: DVideo Submit Question

A: Explanation of the answer is as follows

Q: Find the absolute maximum and absolute minimum values of the function F(x)=x^3+6x^2−63x+3 a.…

A:

Q: esin 2x [In (cos 2x)]?

A: Given: fx=esin2xlncos2x2   As we know that; The Quotient rule: fg'=f'·g-g'·fg2 The Chain rule:…

Q: 4. Use the definition of derivative to compute the derivative of the following functions at x 1: a.…

A:

Q: At what point(s) on the curve x = 3t2+1, y= t3 -1 does the tangent line have slope?

A:

Q: Draw a function F(x), defined for all real numbers x, that satisfies the following properties.…

A: The first derivative is everywhere positive and the second derivative is everywhere negative

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

A:

Q: Find the tangent plane to the equation z = 7e. 4y at the point (8, 16, 7) = Z Question Help: D Video…

A: Given z=fx,y=7ex2-4y        Point x0,y0,z0=8,16,7 To find the tangent plane:

Q: Find dx (9x² + 16 1 1 - In |3x + V16 + 9x²| + c -In |3x – V16 + 9x²| + c Option 2 Option 3 1 1 In…

A:

Q: Find all the rational zeros of the function f(x) = 2x - 9x4 + 9x³ - 3x² + 7x + 6. -1, 2 x = 을 3,2 x…

A: Roots satisfyf(x)=0f(x)=2x5-9x4+9x3-3x2+7x+6f(-1)=-24f(1)=12Options, A and E ruled…

Q: Find dx (1 – x²)³/2 + c Vx2 – 1 V1 – x2 Option 3 Option 2 Vx2 – 1 + c V1- x² - Option 4 Option 1

A:

Q: sin t 11) dt (5 + cos t)6 A) (5 + cos 5 + C B) (5 + cos t)5 +C 1 7(5 + cos t)7 D) 5(5 + cos + C

A:

Q: Rung-kutta ylsx+zy use o Sulve me hou2s

A: