For what value of b is this piecewise function continuous? 8x +3, x < −6 7x+b, x ≥ −6 f(x) =

Q: The angle of elevation to the top of a building in New York is 12° from the ground and 1.25 miles…

A:

Q: Use a graph of f or some other method to determine what, if any, value to assign to f(a) to make f…

A:

Q: (d) (e) (f) [ ₁² V. [ (sec²(x) — csc²(4x)) da. x² √x³+3 dx ** π/4 sin(4x) dx.

A: Detailed solutions is given below.

Q: An ornamental light bulb is designed by revolving the graph ofy about thex-axis wherex andy are…

A: I have appended the formula used in the solution part of the question

Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

A:

Q: X and Use the shell method to find the volume of the solid generated by revolving the region bounded…

A: given  y=2x , y=-x2 and x=3 about y axis formula for volume is V=∫ab2πx(f(x)-g(x))dx∫xndx=xn+1n+1+c…

Q: 2x³6 Solve differential equation. You may leave your answer in implicit form. dy dy + +y =…

A: If M and N are functions of x and y and ∂M∂y=∂N∂xsolution is given by∫keep y constantMdx + ∫term…

Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

A: By using the shell method to find the volume of the solid generated by revolving the shaded region…

Q: Given that f(x) = x² - 14x and g(x) = x + 10, find (a) f(x) + g(x)= (b) f(x) = g(x)= (c) f(x)g(x)=…

A: Given that fx=x2-14x and gx=x+10, to find a fx+gxb fx-gxc fxgxd fxgx

Q: A circular oil slick is expanding with radius, r in feet, at time t in hours given by r = 6t -…

A:

Q: 21° B = b≈ Note: Triangle may not be drawn to scale. Given the triangle above, answer the following:…

A:

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: here we have to find the limits.

Q: demand is 7800 million bushels. At a price of $2.32 per bushel, the supply is 7800 million and x is…

A: As per Bartleby answering guidelines if multiple sub part question are posted in single pic then the…

Q: Solve the following system of nonlinear equations using either substitution or elimination. Write…

A: To solve the given system of equations

Q: Find f(g(x)) and g(f(x)) for the following functions: f(x) = 8x + 5 g(x) = x² + 9x + 4 f(g(x)) =…

A:

Q: 5 A 8 B

A:

Q: Consider the function m(x) and its graph. 2x + 36 √x-5 m(x) = How many solutions does m(x) = 0 have?…

A:

Q: Consider the helix r(t) = (cos(1t), sin(1t), 4t). Compute, at = 7:

A:

Q: Find the area of the region bounded by the graphs of the equations. f(x)=sin 2x, g(x) = cos x,-17…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Use the set-roster notation to indicate the elements in each of the following sets. Use ellipsis…

A:

Q: 3. A horizontal line through the point (4, 6) is defined by which equation? Ο Α r = 4 OB. x 6 Ocy 4…

A:

Q: use the complex zeros to factor f(x)=x4+122x2+121

A: f(x)=x4+122x2+121we know -1=i

Q: Evaluate the limit: lim sin 5x sin 4x sin 4x sin 2x x→0

A:

Q: Find the relative extreme value of the function. (If an answer does not exist, enter DNE.) y6)/6…

A:

Q: 1. Let =(3,-1) and W = (1,2). a) Sketch the vectors v, w, vw, and 3v + w b) Find a unit vector in…

A: Unit vector we find by taking the resultant of vector.

Q: Determine whether each of the following integrals is proper, improper and convergent, or improper…

A: According to bartleby guidelines we supposed to do the first one of multiple questions  kindly…

Q: In Exercises 1 and 2, compute u + v and u-2v. -[2][3] v= 1. u = narly enou ngga 100 sanil bas…

A: (1)   u=-12,  v=-3-1u+v=-12+-3-1=-1-32-1u-2v=-12-2-3-1=-1622    Ans

Q: Given that lim f(x) = 10, lim g(x) = 8, lim h(x) = 10, find the following limits x→a x→a x→a Enter I…

A:

Q: If f(x) = ex+4, find and simplify f(1 + h) – f(1) . 0 e4 (eh - 1 ) 0 ch + h () es+ h 0 (0 - 1) کین 0…

A:

Q: Draw an augmented matrix for the following system of equations: 3z − 2z + 3z = 4 −5z + 4z + 27z =…

A: Given equation 3z − 2z + 3z = 4 −5z + 4z + 27z = 0 10z + 25z − 13z = −9

Q: Find the vector, not with determinants, but by using properties of cross products. (j - k) x (k - i)

A: Given: ( j-k)×(k-i)

Q: To determine To find: The value of lim tan-¹ (Inx). x-0+

A:

Q: 45° 8 Q The height of a right triangle with base angle 45° and hypotenuse 8 is

A: Answer: The solution is given below:

Q: Let f(x)=5x+4 Let g(x)=ln(x)+3 Find the following: (a) g(f(x))= (b) f(g(x))= (c)…

A: f(x)=5x+4g(x)=lnx+3(a)for g(f(x)), put x=5x+4 in g(x)

Q: Give reasons for each of the following steps. Use the given list of reasons on the right and enter…

A: Please see the below picture for detailed solution.

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: C=limx→-8x2+16x+64x2+9x+8if we put x=-8than C=00 form there for use l'hopital rule

Q: State the derivative. Do not simplify. Paragraph V f(x) = sin(x) + cos(x) BIU A/ V 叩く描く O 11 GO +

A:

Q: Suppose lim f(x) = 9 and lim g(x) = -8. Find x-2 x-2 lim (5ƒ(x)² +6ƒ(x) — 7g(x)³ + 3g(x)² − g(x) −…

A:

Q: Find the solution of the following linear equation system with Cramer Methods. x₁ + 2x2 + 3x3 = 2…

A:

Q: The unit tangent vector to the curve r(t) = ⟨2 cos t, 1 + t, 1 − 2 sin t⟩ at t = π/2 is

A:

Q: The slope of the tangent line to the graph of y = 2x³ at the point (2, 16) is 2x³ 16 - lim x-2 X- 2…

A: The slope of the tangent line to the graph of y=2x3 at the point 2, 16 is limx→22x3-16x-2. We have…

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by x…

A:

Q: 3.17 A plane contains the vectors A and B. Determine the unit vector normal to the plane when A and…

A: (a) vector A→ = 7i+8j-2k    and     B→ = 9i-4j-5ka plane contains both vectors A     and  B   so…

Q: Estimate the instantaneous rate of change of h(x)=4x^(2)+4 at the point: x=2

A:

Q: Use the graph below to fill in the missing values. -1 5 3 7 f(0) = f(x) f-¹(0) = 1 2 3 f(x)=0, x=…

A:

Q: Find the cross product a × b. a = (t₁3, 1), b = (12², 1², 1) 8, Verify that it is orthogonal to both…

A: Given  data :  a=t, 8, 1t, b=t2, t2, 1.

Q: Use the shell method to find the volume of the solid generated by revolving the region bound by y =…

A: Let's find volume of solid generated by revolving about the y-axis.

Q: Let f(x) = 6x + 6 ƒ-¹(x): =

A:

Q: Given that f(x) = 2x2 and g(x) = 7 - x², calculate (a) f(g(-3))= (b) g(f(-3))=

A: Given query is to perform indicated function operations.

Q: 7. The strip below shows a bike path that is of a kilometer long. By reasoning with our definition…

A: The strip below shows a bike path that is 43 of a kilometer long. By reasoning with  the definition…