Rewrite each summation using the sigma notation. Do not evaluate the sums. a) 3+ 4+ 5+ . . . +93 +94 b) 1.2¹ +22² +3.2³ ++ 7.27

Q: Find the values of x, y and z that correspond to the critical point of the functio z = f(x, y) = 4x²…

A: for critical points put  fx=0 and fy=0∂xn∂x=nxn-1∂constant∂x=0

Q: An object is moving with velocity v(t) = 6t+ 6 in m/sec. Find the distance traveled by the object…

A:

Q: (1-3p)² p4 .dp

A: Solve the integral

Q: 5. Determine whether the series is convergent or divergent: 3√√n 1+3n³/2 n=1

A:

Q: 8. Represent 1/7 with Egyptian symbols 9. Write as a sum of unit fractions: 3/8

A:

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Here is the solution:

Q: find the length of y=√x² from to += 12 x = formula 3 L = So 9 Ht( f (x) J² dx

A:

Q: The parametric equations represents a line. Without eliminating the parameter, find the slope of the…

A: given parametric equation of line is  x = 9 t -7     and   y = -5t -1 then we have to find slope of…

Q: 15. Let f(x): = 4 e 1 and g(x)= 3x x + 5 Find the domain of (fg)(x).

A:

Q: 4. y = -2 sin(x) 5. y = = sin(2x) 1 2 6. y = cos(4x) cos(4x)

A: Here we have to find period, amplitude and frequency.

Q: Let a = -3 [33] 9 105 41 and 6 = b Compute the projection of a onto b and the vector component of a…

A:

Q: Find the period, amplitude, and frequency of the following functions. 1. y = 2 sin(3x) 3 2. y = 5…

A: The given functions, 1. y=2sin3x 2. y=5cos34x 3. y=3cos2x We have to find its period, amplitude and…

Q: Use the divergence theorem to find the total flux out of the solid x² + y² ≤ 4, 0≤z≤1, given that…

A: use divergence theorem and cylindrical coordinates for finding flux.

Q: Evaluate the definite integral 1.³ (sin(t), cos(t)) dt

A:

Q: In 10 229ܨ 1

A: Given query is to expand the expression.

Q: 26. Let H(t) = 5+2e-t. Find the exact value of H-¹(9).

A:

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

A: To find the rate of change of total revenue, cost, and profit with respect to time. Assume that Rx…

Q: A clothing company determines that its marginal cost, in dollars per dress, is given by the funtion…

A: NOTE: Refresh your page if you can't see any equations. . the marginal cost function is  where…

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: we will find the required.

Q: Evaluate the following improper integral if it is convergent. 8 S= 2 6 OA. x Inx Select the correct…

A: we know that  ∫1xdx=dt∫2∞6xlnxdx=lima→∞∫2a6xlnxdxlet  lnx =t1xdx=dt

Q: 4) Write an equation for a sphere centered at the point (4,6,-1) with radius 8

A:

Q: Find the exact slope of the tangent line to the 5 cos(t) 2 sin(t) parametric curve t co/= 3 X { y =…

A: slope is  dydxdydx=dydtdxdtdsintdt=costdcostdt=-sint

Q: .) 2 4x S₁ x² +1 dx

A: To evaluate the given integral

Q: 2. (D4 + + 5D² +4) y cos (3x +4)

A: We need to solve D.E.

Q: Suppose that the monthly marginal cost for firefighting portable water tanks is C'(x) fixed cost of…

A: To solve the following problem

Q: Find the Taylor series, centered at c = 3, for the function 1 1-x² f(x) = ΣΠ n=0 The interval of…

A: Solve the following

Q: Which of the following is the appropriate substitution for the Bernoulli differential equation xy -…

A:

Q: A -| n=3 n 3"

A:

Q: Find the most general antiderivative or indefinite integral. 10x13 10x√13 dx =

A: To evaluate the given integral

Q: -X 2) x dy + 4y = x ²³-x

A:

Q: Find the indicated partial derivatives of: at the point (x, y) = (3,2). f(x, y): = 4x - 3y 4x + 3y

A:

Q: Simplify the following: (3q - q-¹)² a. -9q² - 6+q² b. 9q² + 6-q-² C. 9q² - 6+q-²

A: Given query is to simplify the expression.

Q: Given the price-demand and price-supply equations below, determine the equilibrium price.…

A:

Q: Find the indicated partial derivatives of: дz ?х дz ду || || z = ln(x2 + y3)

A:

Q: 1₁ w² w² In(w) dw

A:

Q: Find the distance from the point (6,-5,-4) to the yz-plane

A: Given point (6,-5,-4)

Q: Find the equation of the line tangent to the graph of f(x) = (In x)² at x = 5. *** y=0 (Type your…

A: Given query is to find the equation of the tangent.ln

Q: Given that sinθ=√75/10sinθ=7510 and cotθcotθ is negative, determine θ and cotθ. Enter the angle θ in…

A: To find the angle θ and the value of cotθ

Q: The first derivative of a continuous function y = f(x) is y' = x(x − 3)². Find y' and then use the…

A:

Q: Find the critical point of the function. Then use the second derivative test to classify the nature…

A: We have to find the critical oint and classify it.

Q: Find and dy dx x = 3t - 3ln(t), dx dy dt' dt y = 8t² - 8t-2

A:

Q: Find and classify the critical points of f(x, y) = 3xy - x³ - 2y².

A:

Q: Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a…

A: To find y in terms of x  first find t from x(t) and then substitute the value of t in y(t).

Q: Show if the following limits produce an indeterminate form. Then, evaluate the following limits.…

A: according to guide line we do only firt part . please re post other part 1)   limx→01+x-1-x2x2if we…

Q: The function f(x, y) = x³ sin is a homogeneous function of degree a. 1 b. 2

A: given  f(x,y)=x3sin(yx)for homogeneous function   if f(λx,λy)=λnf(x,y)  than degree is n

Q: gradient of the line joining the points (3, 5) and (2, 8) is

A: Given query is to find the gradient of the line.

Q: b) Find a function f(x) such that both f′(x) = cos(x) + e^2x + 2x and the tangent line to f(x) at x…

A:

Q: Find the most general antiderivative or indefinite integral. Check your answers by differentiation.…

A:

Q: What is the equation of the normal line to the curve y = 2x³-x² + 3x-5 at a point where x = 1 ?…

A:

Q: (₂) Using the u-substitution, u = x + 3, identify f such that the integral help (formulas) ¹ [ f(u)…

A: Given integral  is ∫ xx+3   dx