Evaluate the integral aV3 +5 dx. 1 (a) ;(²³ + 5) + C 1 (c) - (22 + 5)을 + C (b) –;(2³ + 5) + C 1 -- (d) (23 + 5)을 +C 4

Q: Determine the points at which the limacon defined by the polar equation r= 3 + 2 sin(theta) has…

A: We need to find tangent and sketch.

Q: If matrix A is 2 by 4 and matrix B is 3 by 5 then AB is by If an answer does not exist, enter DNE.…

A: Let's find.

Q: A wooden rectangular box is to be made of lumber that is 2/3 in. thick. The inside length is to be 6…

A:

Q: Find the general solution of the differential equation: dy + (2xy – 4e¯*)dx = 0. What is the…

A: Solve it.

Q: 8. The base of a solid is a region in the first quadrant bounded by the r-axis, the y-axis, and the…

A: The given is a half cone which has radius =4 Height =8

Q: Match each graph with its equation. y = Vx 5+ 4 O y = Y® O y = |x| 1 O y = а. -5 -4 -3 -2 -1, I 2 3…

A: Given:    Equations is given

Q: Calculate the definite integral. 12 6 dx - 4 12 6. dx = (Type an exact answer.) - 4 X

A:

Q: Use the integral test to determine whether the series is convergent or diverg n2 n3 + 1 n = 2…

A:

Q: Find a and d for f(x) = a cos(x) + d such that the graph of f matches the figure. y 2 -2 -4 f -6| a…

A:

Q: Find the solution to the following differential equation. Take the constants of integration to be…

A: Explained below

Q: n equation for the function that is described by the given characteristics. (Use x as the depend A…

A: Follow the procedure given below.

Q: evaluate lim f (x) and lim f(x). X--00 -5 + 2e-* f(x) = %3D 5e-+6

A: f(x)=-5+2e-x5e-x+6limx→∞f(x)=limx→∞-5+2e-x5e-x+6             =limx→∞-5+2ex5ex+6…

Q: 22 - 12x To solve -dx, partial faction is to be employed. What is the most appropriate form of the…

A:

Q: 4. A force of 35 N is applied at a 125° angle to an o same object at 220°. A third force of 97N is…

A:

Q: 1-x+2x²–1 r° dx 1(r²–1)² xp-

A: Given

Q: Find all the real zeros of f(x)= 4x³– 20x²+ 17x- 4 -2 -4 x = /4 4 || || ||

A:

Q: Write each complex exponential function as a sum of its real and imaginary parts: (4.053 + 2.042 i)…

A: Write the complex exponential function as a sum of its real and imaginary parts.4.482+4.681…

Q: Find the volume of the solid that results when the region enclosed by y = Vx, y = 0, and x = 121 is…

A:

Q: Find a set of parametric equations for the line passing through the point (1, 0, 2) that is parallel…

A:

Q: x² sin 2x dx

A:

Q: Problem 1. Which gives the Laplace transforms of the given time-domain function? Let a = %3D 2 O…

A:

Q: Evaluate the double integral over the rectangular region 12(x sin(y) – y sin(x)) dA; R= {(x, y) : 0…

A:

Q: x+4x+3 dx 5. 24—5х2+4

A:

Q: Suppose f'(x) = sin(2a“). d f(2x) dx d f (62*) = [ dx

A: topic - derivative using chain rule

Q: The Taylor polynomial of order 2 generated by a twice-differentiable function f(x) at x = a is…

A:

Q: Consider the function f(t) 9 sec?(t) – 9t?. Let F(t) be the antiderivative of f(t) with F(0) = 0.…

A:

Q: -8 6. 8 -8 (a) Where is f(x) 0? (d) Where is f(x) > 0? (e) Where is f(x) negative? () Where is f(x)…

A:

Q: sin 4x2 lim 1 cos 6x

A:

Q: :Jox²e*3 dx, using integration by parts (Judv = uv - Jvau) a Given: udy = uv and letting u= f(x),…

A:

Q: 14. 2x2 – x³y' = y3 %3D -

A:

Q: Question A street light is at the top of a pole that has a height of 17 ft. A woman 5 ft tall walks…

A: Here we use the similar property of triangle

Q: SECTION I: MATRIX OPERATIONS 2 -1 4 -0.5] -1 1.5 0.25 1.5 A = 4 C = -7 B = -3 2.75 0.1 3 |-0.5 1 0.2…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The absolute max occurs att The absolute min occurs at t

A: Follow the procedure given below.

Q: Determine whether the series is convergent or divergent by expressing the nth partial sum s, as a…

A: Expressing terms as a telescoping sum:∑n=4∞ 8n2-14∑n=4∞ 2(n+1)(n-1)4∑n=4∞ 1n-1-1n+1∑n=4∞…

Q: Solve Nonhomogeneous Equations - Undetermined Coefficients (D^2 + 1)y = sinx

A:

Q: ||r(t) × r"(t)|| ||r()* Use the formula k(t) to find k(t). r(t) = 8 cos(6t)i+8 sin(6t)j+ 7tk K(t) :

A:

Q: Find the area of the shaded region. The image is not y =

A:

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of h(z) = , • sin (z ) (cos…

A: A detailed solution is given below.

Q: The​ temperature, T, in degrees​ Fahrenheit, in a​ car's radiator during the first 4 minutes of…

A: Let's find.

Q: A function f(x) and interval [a, b] are given. Check if the Mean Value Theorem can be applied to f…

A:

Q: Fnd the gradent vector feld o S(2,9) = VEz+ y. Provide your answer below

A:

Q: 1. y = x° + x

A: answer is in next step

Q: Determine the type and stability of the critical points of the homogeneous systems: dx = x - 2y dt…

A: We have to determine the type and stability of the critical points of the homogeneous systems.

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The rational function 320t V(t) t +3 models the velocity, V(t), in miles per hour, of a dragster t…

A: Distance

Q: QUESTION 2 Assume that the linear cost and revenue models apply. An item costs $2 to make, If fixed…

A: Solution: According to the linear model, R(x) =mx +b Total Cost = $6000 + (2*400) = $14000 Profit =…

Q: (0) (4) | 童 9. 4. 2. 2. Question 4 OE OB () 91 3. (a) (V) (B) What is the area of the region between…

A: Given query is to find the area bounded by the graphs.

Q: The total revenue R earned per day (in dollars) from a pet-sitting service is given by R(p)= –…

A:

Q: Solve the system by using Gaussian elimination or Gauss-Jordan elimination. -4x+11y = 58 x-3y = -12…

A: We have to solve the above problem by using Gaussian elimination

Q: e cos(2)d.z 4. Evaluate as a power series. Write out the first three nonzero terms

A: