2x2+3x+1, if x<2 f(x)= 3x2 -2x-5, if x 22 Find the value of f(1)+f(2). O a. 8 O b. 7 O c. None O d. 9 О е. 6

Q: Direction: Prove using the three conditions of continuity if the following function is continuous or…

A:

Q: Evaluate 3 – 12x4 lim x→0 5 +3x4 - If the limit is ∞, enter 'INF', and if the limit is -oo, then…

A: The given limit is: limx→∞3-12x45+3x4

Q: Simplify the expression. sec @ — csc ө 2) sec 0 sin 0 – cos 0 csc 0

A: Simplify the expression

Q: (³ +2w)® 6. Find dy/dx, given the following: y = /2x–4 3(3=° +2) (z"+2) O (E) None of the choices…

A: Formula ddxuv=vdudx-udvdxv2 ddx(xn)=nxn-1 ddx(x)=12x 6. Given y=(x3+2x)32x-4 Differentiating with…

Q: Construct the following rational functions. a. Construct a rational function whose only asymptotes…

A:

Q: 4. Sx 2* dx

A:

Q: Plot the point whose cylindrical coordinates are given. then find the rectangular coordinates of the…

A:

Q: 13. Evaluate the given integral, ſ t (t² – 9)i: A. (1² – 9)* + e 3 . (t2 -9)호 + c В. 3 C. · (t² –…

A:

Q: x' +6x, |2x-4 , x<a Find all values of a such that the function, g(x)=- is continuous xz a…

A: The objective of the question is evaluate the value for which given function is continuous…

Q: Find the derivative of the function. 4 f(x) x In(x) f'(x) %D

A:

Q: Choose the point which shows the correct location for the polar coordinate (1, 320°). 90° wIN 135°…

A: We have to find correct point name for co-ordinate for point (1,320°)

Q: dx 4. S x²+4x+13

A:

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A: Finding a pattern from the given terms.

Q: A. Evaluate the following integrals: 1. Sx² e*³dx et3

A: To evaluate the given integral.

Q: ax+3, if x <2 f(x)= It is given that f(1)=5 bx2 +2, if x 22 and f(2)=6. Find the value of f(a+b). О…

A:

Q: If line t is parallel to the line 5x-6y+10=0, What is the slope of line t? O a. 5 Оb. 5/6 О с. 6/5 O…

A: Slope of parallel lines are same

Q: For the function f(x) cos(x) identify asymptotic behavior and then sketch a graph of the function…

A: According to company rule we can answer only first question and rest can be reposted.

Q: y = 2Vx, y= Find the area of the region enclosed by the curves.

A:

Q: Write the quotient in standard form. 4+i 4-i

A: 4+i4-i

Q: y = (1+) - (1+)*

A: We have to find dy/dx for the given function.

Q: If g(t) = 2t* + 3t2 - 5 find g(0) = a'(0)

A:

Q: Find the slope of the line 5x- 3y-1=0 O a. 5 O b. 5/3 O c. 3 3/5

A:

Q: 1-coskx 2. lim kx = 0.

A:

Q: Which of the following trigonometric substitutions is the e 4x dx most appropriate to the integral f…

A:

Q: 17. Evaluate the given integral, Í x ln x dx: A. x² Inx Inx -+c 2 x? Inx В. + - + c 2 4 x² Inx + 플…

A:

Q: Choose the point which shows the correct location for the polar coordinate (3, 625*). so 90 WI2 4…

A: The given diagram is:

Q: A. Evaluate the following integrals: 3 | tan°x dx 1.

A:

Q: The slope of the tangent line at any point (x,y) on a curve is 3Vx. If the point (9,4) is on the…

A: This question is based on slope of a curve wich is given as  dy/dx

Q: Find the indicated value. Use special angles, together with the fact that z is the period of the…

A: We have to find the value of cot

Q: . A boat is being pulled into a dock by a rope that passes through a ring on the bow of the boat.…

A:

Q: clearly

A: We have to choose the correct option according to the given information

Q: For the function f(x) = x ln(1+ x°), %3D a) What is the Maclaurin series for f and its interval of…

A: Given function is fx=xln1+x3Maclaurin Series of function fx…

Q: What is the area of the region between the graphs of y = x – 1 and y : -X – 1

A:

Q: Find the limit. 6x +2 lim 13x 9 > Next Question

A:

Q: ( 3x2-3x-3, if x<3 f(x)=. | 2x² +5x+1, if x 23 Find the value of f(2)+f(3). O a. 32 O b. None О с.…

A: option (e) is correct see below the answer and calculation

Q: Solve the Indefinite Integral. S sin Vædz

A:

Q: b. g = f(t, v) = tv, t = In m v = m

A: We can solve this as follows:

Q: Directions: Choose the letter of the correct answer. Write the letter that corresponds to the…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: (2x³+9)dx (x²+3)(x²-2x+3)

A: This is a problem related to partial fraction of decomposition and integration. Based on the general…

Q: 3. Two sides of a triangle are 5 and 10 inches, respectively. The angle between them is increasing…

A:

Q: Consider the following. t = − 4?/3 (a) Find the reference number t for the value of t. t =    (b)…

A: We have to find the reference no t and terminal point determined by t.

Q: Find the area of the region in the xy-plane bounded above by the graph of the function…

A: Given  fx=711x-2111, x=3 &amp; x=14 To find Area:

Q: Direction: Find the derivative of each of the following functions. Write your solutions on a…

A: We have to find the derivative

Q: Use long division to divide. (x³+ 4x²+x+ 4)÷ (x+ 4) x²+ 8x+ 33 x2+ 1 120 x²+ 8x+ 33+ x+ 4 x²– 4 129…

A:

Q: Consider the following. u = x w = Vx y = xx Calculate the following. Simplify your answers. du dx dw…

A:

Q: 11. Find the definite integral of S, 2 sinx 1+cos x dx : A. In (1+ cos x) В. 2 In 1 C. In 1 D. In 2

A:

Q: Please, solve 1(d) & (e), 2 only

A:

Q: Evaluate the limit, if it exists. If not, enter "n" below. x2 - 4x - lim x→-1 r² 3x – 4 - -

A: We have to find limit

Q: Simplify your answer. HINT [See Examples 1 and 2.] dy dx Calculate y = x³(4 – x²) dy dx II

A: We need to find derivative.

Q: A graph of the function g(x) = sin (x) is shown. Use the graphing utility to sketch the graph of the…

A: Graph of the function g(x)=sin(x) is given